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On the gravitational field of a mass point according to Einstein's theory
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Translation by S. Antoci and A. Loinger of the fundamental memoir, that contains the ORIGINAL form of the solution of Schwarzschild's problem. The solution is regular in the whole space-time, with the only exception of the origin of the spatial co-ordinates; consequently, it leaves no room for the science fiction of the black holes. (In the centuries of the decline of the Roman Empire people said: ``Graecum est, non legitur''...).
Forward citations
Cited by 46 Pith papers
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Shaving off soft hairs and the black hole image memory effect
Soft-haired Kerr black holes show rotated, dilated, drifting images and an image memory effect when soft hair changes via waves, with the effect scaling with the large black hole's mass and spin.
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Critical spacetime crystals in continuous dimensions
Numerical construction of a one-parameter family of discretely self-similar critical spacetimes for massless scalar collapse in continuous D>3, giving echoing period Delta(D) and Choptuik exponent gamma(D) with a maxi...
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Horizon brightened acceleration radiation from massive vector fields
Acceleration radiation for massive vector fields near black hole horizons has a universal thermal detailed-balance factor from the Rindler transformation, with mass thresholds and polarization-dependent spectra, yield...
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The glow of eternal black holes
An eternal Schwarzschild black hole with an emitting surface at r=r_m would show a bright spot inside its shadow, whose interferometric visibility decays exponentially with baseline length.
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Examples of Curvature Inhomogeneous Submanifolds with Constant Ricci Eigenvalues
New examples show constant Ricci eigenvalues do not imply curvature homogeneity, with sharp low-codimension Euclidean immersions.
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Electrically Charged Distorted Black Holes: Thermodynamics, Particle Dynamics, and Quasinormal Signatures
Constructs charged distorted black hole metric via Harrison transformation and analyzes thermodynamics, geodesics, shadow, and quasinormal modes.
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The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory
Introduces a gauge transformation framework for BMS frames in multiscale black hole perturbation theory on Kerr that incorporates memory effects and avoids infrared divergences.
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A Topological Origin of Black Hole Mass
Black hole mass is reinterpreted as a topological charge via new bubble spacetime solutions in first-order gravity, with the photon sphere acquiring a topological meaning.
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Correspondence between quasinormal modes and grey-body factors of Schwarzschild--Tangherlini black holes
Quasinormal modes correspond well to grey-body factors for vector and tensor perturbations of Schwarzschild-Tangherlini black holes in all dimensions, but fail for scalar l=2 modes in D≥7 because of multiple potential...
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Quantum dust cores of rotating black holes
Quantizing geodesic motion of dust particles in rotating black hole geometries produces many-body ground states whose core size and effective interior geometry depend on angular momentum.
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Universality in quasinormal modes of a magnetized black hole
For charged scalar perturbations of an Ernst-Schwarzschild black hole, the quasinormal-mode frequency scales as |q - q_c|^{1/2} near a critical charge q_c, with a mode-independent exponent.
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APRIL: Auxiliary Physically-Redundant Information in Loss -- A physics-informed framework for parameter estimation with a gravitational-wave case study
APRIL augments neural network loss with auxiliary physical redundancy terms to reshape the optimization landscape while preserving the true minimum, yielding up to 10x better accuracy in noise-free gravitational wave ...
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Black Hole Spectroscopy and Tests of General Relativity with GW250114
GW250114 data confirm the remnant is consistent with a Kerr black hole and bound the dominant quadrupolar mode frequency to within a few percent of the GR prediction, with constraints tighter than prior multi-event catalogs.
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Probing the Strong Gravity Region of Black Holes with eXTP
eXTP's large collecting area and combined spectral, timing, and polarimetric instruments are simulated to improve black hole spin and mass measurements and to tighten tests of the Kerr metric.
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Not Quite Killing It: Black Hole Evaporation, Global Energy, and De-Idealization
The global-energy-conservation argument for black hole evaporation cannot be extended to realistic, non-stationary, non-asymptotically-flat black holes because no adequate notion of approximate Killing fields currentl...
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Bayesian analysis of analog gravity systems with the Rezzolla-Zhidenko metric
Bayesian MCMC inference over Rezzolla-Zhidenko metric parameters can recover the injected analog black hole spacetime from the full time-domain ringdown signal, at least in closed-loop simulations.
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Star equilibrium: from BNG to TOV
Adding TOV-inspired post-Newtonian terms to bootstrapped Newtonian gravity makes the central pressure of homogeneous stars negative before BNG black hole formation, while no Buchdahl limit appears.
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Entropy-geometry correspondence as effective nonlocal gravity
Generalized entropies determine effective nonlocal operators and running Newton couplings, with the area law reproduced identically for any entropy function.
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Gravitational Lensing of Gravitational Waves: Towards a Higher-order Geometric-optics Approach
Lensed gravitational waves acquire apparent vector and scalar polarization modes at subleading order in geometric optics, fully determined by the leading-order tensor signal.
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On gravitational collapse and integrable singularities
After Minkowski breaking in the interior geometry, the quantum potential in the Raychaudhuri equation strongly resists further collapse toward the central singularity.
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Three dimensional black bounces in $f(R)$ gravity
Black bounce geometries exist in 2+1D f(R) gravity with scalar-nonlinear electrodynamics matter, including vanishing scalar curvature solutions whose viability is checked via scalaron mass and energy conditions.
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Ringdown modulation of acceleration radiation in the Schwarzschild background
Near a Schwarzschild horizon, a quadrupolar quasinormal ringdown is claimed to modulate the detector detailed-balance exponent by a decaying sinusoid at the QNM frequency, at first order in the perturbation amplitude.
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Regular Spacetimes in the Effective Metric Description
Within the Effective Metric Description, the paper derives regularity conditions at the origin and horizons, a necessary geodesic-completeness condition, and a classification of regular cores.
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Black Holes and Higgs Dark Energy
The paper claims black holes can trap Higgs field energy as dark energy during stellar collapse, giving a 2:1 matter-to-dark-energy ratio and a 57 microsecond collapse time.
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Signatures of cubic gravity in the strong regime
Einsteinian cubic gravity shrinks (grows) black hole horizons for positive (negative) coupling and shifts the photon sphere enough that SgrA* shadow observations can bound the coupling to approximately 0.1.
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Effective Metric Description of 2+1 Dimensional Quantum Black Holes
A framework for writing quantum corrections to the rotating BTZ black hole in coordinate-invariant form, with horizon regularity constraints and a general temperature formula.
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The Wigner formalism on black hole geometries
Applies covariant Wigner function to Schwarzschild spacetime to derive effective Hamiltonian for bound electron states and computes perturbative corrections showing consistency with Schrödinger equation.
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Impact of hyperons on structural properties of neutron stars and hybrid stars within the regularized four-dimensional Einstein-Gauss-Bonnet gravity
In regularized 4D Einstein-Gauss-Bonnet gravity, positive values of the Gauss-Bonnet coupling increase neutron star and hybrid star maximum masses, while negative values lower them, allowing astrophysical mass and rad...
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Quasi-normal modes in non-perturbative quantum gravity
Complex radial-dependent masses motivated by background-induced states shift Schwarzschild black-hole quasinormal-mode frequencies and can produce unstable modes in an ad hoc toy model.
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Observing the eye of the storm I: testing regular black holes with LVK and EHT observations
EHT shadow sizes and LIGO/Virgo/KAGRA inspiral waveforms allow only small values of the dimensionless regularity parameter ℓ in the Ghosh-Simpson-Visser regular black hole.
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Relativistic strange quark stars in Lovelock gravity
Numerical computation of mass-radius profiles, compactness, and gravitational redshift for strange quark stars in 5D Gauss-Bonnet gravity across several values of the Gauss-Bonnet parameter.
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Trace anomaly and interior curvature of neutron stars in energy-momentum squared gravity
In EMSG, neutron star trace anomaly profiles increase monotonically from core to surface and curvature invariants organize into bands versus the trace anomaly, extending the GR correspondence with coupling-dependent s...
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Celestial Chiral Algebras and Self-Dual Gravity
This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...
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Thermodynamics and Shadows of Kerr black holes endowed with a global monopole charge
The authors derive shadow and thermodynamic quantities for a Kerr-like metric with a global monopole term in Δ, and claim EHT observations constrain the monopole charge α.
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Quasinormal Modes of Schwarzschild Black Holes in the Dehnen-(1, 4, 5/2) Type Dark Matter Halos
Quasinormal mode frequencies of a Schwarzschild black hole in a Dehnen-(1,4,5/2) dark matter halo are computed and found to decrease as halo density or core radius increases, with stability preserved.
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Electromagnetism as Space-Time Pseudo-Curvature
A proposed 'pseudo-curvature' framework treats electric charges and currents as sources of spacetime geometry, yielding Coulomb's law and new charge-dependent time dilation predictions.
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Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms
Black hole spacetimes in dark matter spikes are solved analytically from TOV equations; ringdown quasinormal frequencies differ from Schwarzschild by up to order 10^{-4}.
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On the perturbed Friedmann equations in Newtonian Gauge
The authors derive the Friedmann equations and their first-order perturbations from Newtonian mechanics and thermodynamics, and show the perturbed equations coincide with general relativity at linear order.
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Anisotropic strange quark stars with a non-linear equation-of-state
Exact analytical solution for anisotropic CFL strange quark stars with non-linear EOS, satisfying energy conditions, yielding mass-radius profiles and compactness values.
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Superradiance -- the 2020 Edition
Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.
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Beyond Algebraic Solutions to Stringy Spacetime
Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.
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On the Polynomial Degeneracy of Ricci Invariants and Spacetime Singularity
A syzygy-based analysis claims spherical collapse can reach a singularity only for dust, isotropic, or negative-pressure fluids, but the derivation reduces to zero for radial heat flux and the 'iff' is unsupported.
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A polynomial affine model of gravity: after ten years
A ten-year review of polynomial affine gravity, covering the most general diffeomorphism-invariant action, its field equations, cosmological solutions, and emergent metrics.
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Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
The authors derive a black hole metric with a cosmological-constant-dependent effective mass and use EHT and VLBI data to put extremely weak bounds on a quantum parameter beta.
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Traversable Wormholes with Spontaneous Symmetry Breaking
The paper constructs phantom-scalar wormhole metrics and reverse-engineers a symmetry-breaking potential, but the solution does not satisfy the stated field equations for generic parameters and the photon-sphere radiu...
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Black hole solutions in theories of supergravity
A review of the history of black hole solutions in supergravity, from early no-superhair theorems to attractor mechanics and alpha-prime corrections.
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