Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory | Paper Citation Record

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This paper cites (54), (55), and (56).

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory (54), (55), and (56)

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This paper cites Remarks on Newtonian Cosmology. I.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Remarks on Newtonian Cosmology. I

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This paper cites (50) as d ¯Θ d¯s = dθ dt + 2 ¨χ χ − 2 ˙χ χ 2 (76) where dθ dt = 3 ¨a a − 3 ˙a a 2 , which is the usual scalar expansion of the flat FLR W spacetime.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory (50) as d ¯Θ d¯s = dθ dt + 2 ¨χ χ − 2 ˙χ χ 2 (76) where dθ dt = 3 ¨a a − 3 ˙a a 2 , which is the usual scalar expansion of the flat FLR W spacetime

Reference 3

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This paper cites Relativistic Cosmology. I.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Relativistic Cosmology. I

Reference 4

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This paper cites The Raychaudhuri equations: A brief review.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The Raychaudhuri equations: A brief review

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This paper cites Relativistic and Newtonian cosmology.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Relativistic and Newtonian cosmology

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This paper cites General Relativity, Astrophysics and Cosmology.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory General Relativity, Astrophysics and Cosmology

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This paper cites Implications of Raychaudhuri equation and geodesic focusing in interacting two fluid systems.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Implications of Raychaudhuri equation and geodesic focusing in interacting two fluid systems

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Derivation of the Raychaudhuri Equation

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This paper cites Raychaudhuri equations and gravitational collapse in Einstein-Cartan theory.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Raychaudhuri equations and gravitational collapse in Einstein-Cartan theory

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This paper cites The Large Scale Structure of Space-time.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The Large Scale Structure of Space-time

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Observation d5e7bc2e-b25b-4e83-9585-d67bda8d1803 · outbound

This paper cites Classical and quantum analysis of gravitational singularity from Raychaudhuri equation.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Classical and quantum analysis of gravitational singularity from Raychaudhuri equation

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Singularities in the universe

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This paper cites A Positive Mass Theorem Based on the Focusing and Retardation of Null Geodesics.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory A Positive Mass Theorem Based on the Focusing and Retardation of Null Geodesics

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Gravitational collapse and space-time singularities

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Occurrence of singularities in open universes

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This paper cites Poisson, Relativist’s Toolkit, Cambridge University Press, Cambridge (2004) https://doi.org/10.1017/ CBO9780511606601.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Poisson, Relativist’s Toolkit, Cambridge University Press, Cambridge (2004) https://doi.org/10.1017/ CBO9780511606601

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This paper cites Reconstruction off (R) gravity models for an accelerated universe using the Raychaudhuri equation.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Reconstruction off (R) gravity models for an accelerated universe using the Raychaudhuri equation

Reference 18

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This paper cites Raychaudhuri Equation in K-essence Geometry: Conditional Singular and Non-Singular Cosmolog- ical Models.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Raychaudhuri Equation in K-essence Geometry: Conditional Singular and Non-Singular Cosmolog- ical Models

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This paper cites The Mystery of the Cosmic Vacuum Energy Density and the Accelerated Expansion of the Universe.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The Mystery of the Cosmic Vacuum Energy Density and the Accelerated Expansion of the Universe

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This paper cites Form Invariance of Raychaudhuri Equation in the Presence of Inflaton-Type Fields.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Form Invariance of Raychaudhuri Equation in the Presence of Inflaton-Type Fields

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This paper cites NEC violation in f (R, T) gravity in the context of a non-canonical theory via modified Raychaudhuri equation.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory NEC violation in f (R, T) gravity in the context of a non-canonical theory via modified Raychaudhuri equation

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Challenges for ΛCDM: An Update

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The Cosmological Constant

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This paper cites Everything You Always Wanted to Know About the Cosmological Constant Problem (but were Afraid to Ask).

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Everything You Always Wanted to Know About the Cosmological Constant Problem (but were Afraid to Ask)

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Large extra dimensions from higher-dimensional inflation

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Einstein’s Theory of Gravity and the Problem of Missing Mass

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The Matter-Antimatter Asymmetry Problem

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Selected topics in scalar–tensor theories and beyond

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Quantum mechanics of the gravitational field

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Modified theories of gravity: Why, how and what?

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Principle of nongravitating vacuum energy and some of its consequences

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Gravitational theory without the cosmological constant problem

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Gravity, Cosmology and Particle Physics without the Cosmological Constant Problem

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Scale Invariance, New Inflation and Decaying-terms

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Gravitational theory without the cosmological constant problem, symmetries of space-filling branes, and higher dimensions

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley, (1972)

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Lecture Notes on General Relativity

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Curvaton reheating mechanism in a scale invariant two measures theory

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Instant preheating in a scale invariant two measures theory

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Unification: Emergent universe followed by inflation and dark epochs from multi-field theory

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Cosmology

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory A New Model for the Expanding Universe

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The Steady-State Theory of the Expanding Universe

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory A Quasi–Steady State Cosmological Model with Creation of Matter

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Further astrophysical quantities expected in a quasi-steady state Universe

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Astrophysical Deductions from the Quasi Steadystate Cosmology

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This paper cites The basic theory underlying the quasi-steady-state cosmology.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory The basic theory underlying the quasi-steady-state cosmology

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This paper cites Mukhanov, Physical Foundations of Cosmology, Cambridge Univer sity Press, Cambridge (2005) https: //doi.org/10.1017/CBO9780511790553.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Mukhanov, Physical Foundations of Cosmology, Cambridge Univer sity Press, Cambridge (2005) https: //doi.org/10.1017/CBO9780511790553

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Unresolved cited work

Reference 53

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Unresolved cited work

Reference 54

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This paper cites Johann Heinrich Lambert, Mathematician and Scientist,.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Johann Heinrich Lambert, Mathematician and Scientist,

Reference 55

Resolution: verified exact; doi, observed 2026-08-08T10:59:15.589468Z

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This paper cites On the Lambert W Function.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory On the Lambert W Function

Reference 56

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This paper cites Evaporation of Dynamical Horizon with the Hawking Temperature in the K-essence Emergent Vaidya Spacetime.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Evaporation of Dynamical Horizon with the Hawking Temperature in the K-essence Emergent Vaidya Spacetime

Reference 57

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This paper cites Observational constraints on power-law cosmologies.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Observational constraints on power-law cosmologies

Reference 58

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Observation f1ffd65b-a085-480b-8554-45a087eed2b0 · outbound

This paper cites Power law cosmology in modified theory with thermodynamics analysis.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Power law cosmology in modified theory with thermodynamics analysis

Reference 59

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Observation 60889063-4315-490a-b358-95dd1f028ef1 · outbound

This paper cites Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

Reference 60

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Observation ed6c0566-4d94-4749-adf6-ca2a6f4215e4 · outbound

This paper cites Measurements of Ω and Λ from 42 High-Redshift Supernovae.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Measurements of Ω and Λ from 42 High-Redshift Supernovae

Reference 61

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This paper cites Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological In- terpretation.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological In- terpretation

Reference 62

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Observation 1620f68d-141f-4b04-b055-73d83c7ed697 · outbound

This paper cites Planck 2015 results XIV. Dark energy and modified gravity.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Planck 2015 results XIV. Dark energy and modified gravity

Reference 63

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Observation 30cf18d5-a356-4ffe-bfe2-98c0989c0d47 · outbound

This paper cites Planck 2018 results I. Overview and the cosmological legacy of Planck.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Planck 2018 results I. Overview and the cosmological legacy of Planck

Reference 64

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Observation 329fb9c1-6305-46a5-acc9-e71ebe34dcb6 · outbound

This paper cites Planck 2018 results VI. Cosmological parameters.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Planck 2018 results VI. Cosmological parameters

Reference 65

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Observation d753f345-57dc-4e88-a940-23e6784d926b · outbound

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Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Dark Energy and the Accelerating Universe

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-08T10:59:15.312064Z

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Observation 07bea685-8fb0-4c88-9b0b-09dc60bb86cd · outbound

This paper cites Adventures in Friedmann cosmology: A detailed expansion of the cosmological Friedmann equations.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Adventures in Friedmann cosmology: A detailed expansion of the cosmological Friedmann equations

Reference 67

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Observation 469ae616-619b-4a05-90cc-8a9ea33535d8 · outbound

This paper cites Why the Expansion of the Universe Appears to Accelerate.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Why the Expansion of the Universe Appears to Accelerate

Reference 68

Resolution: verified exact; raw_fallback, observed 2026-08-08T10:59:16.129169Z

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Observation 03d3e2e1-70a7-4939-b946-1f311fe1a730 · outbound

This paper cites Brans-Dicke theory as a unified model for dark matter-dark energy.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Brans-Dicke theory as a unified model for dark matter-dark energy

Reference 69

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-08T10:59:16.053056Z

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Observation 690b50d8-4f4a-4561-9998-1c4a6c29be2d · outbound

This paper cites Focusing of geodesic congruences in an accelerated expanding Universe.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Focusing of geodesic congruences in an accelerated expanding Universe

Reference 70

Resolution: verified exact; doi, observed 2026-08-08T10:59:15.468759Z

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Observation 6245d57d-1ead-4b9d-bb80-73702daf7a15 · outbound

This paper cites Quantum Raychaudhuri equation.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Quantum Raychaudhuri equation

Reference 71

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Observation 8863b09f-58cd-4377-bdf5-9c9264b6db87 · outbound

This paper cites New class of inhomogeneous cosmological perfect-fluid solutions without big-bang singular- ity.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory New class of inhomogeneous cosmological perfect-fluid solutions without big-bang singular- ity

Reference 72

Resolution: verified exact; doi, observed 2026-08-08T10:59:15.442732Z

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Observation 0314b5c7-b99b-4a77-a04d-c252b409a7cd · outbound

This paper cites Singularity Theorems and Their Consequences.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Singularity Theorems and Their Consequences

Reference 73

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Observation 1425152d-98f4-4b40-8cac-cbbf29149328 · outbound

This paper cites Another gravitational solution found.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Another gravitational solution found

Reference 74

Resolution: malformed identifier; raw_fallback, observed 2026-08-08T10:59:16.879673Z

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Observation d2e01cd0-891f-4f70-a528-8483436944a7 · outbound

This paper cites Accelerated motion in general relativity: fate of the singularity.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Accelerated motion in general relativity: fate of the singularity

Reference 75

Resolution: verified exact; doi, observed 2026-08-08T10:59:15.413934Z

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Observation 5688ec56-ddbe-4f17-bff1-b5dd233ec976 · outbound

This paper cites Self-similar collapse and the Raychaudhuri equation.

Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory Self-similar collapse and the Raychaudhuri equation

Reference 76

Resolution: verified exact; doi, observed 2026-08-08T10:59:15.397078Z

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