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Gravity's Rainbow

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arxiv gr-qc/0305055 v2 pith:YSEB5B7V submitted 2003-05-14 gr-qc

classification gr-qc
keywords relativitycurvaturedoublydualenergy-dependentequationsfindgravity
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Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of flat quantum space-time. In this paper we show how this formalism may be generalized to incorporate curvature (leading to what might be called ``doubly general relativity''). We first propose a dual to non-linear realizations of relativity in momentum space, and show that for such a dual the space-time invariant is an energy-dependent metric. This leads to an energy-dependent connection and curvature, and a simple modification to Einstein's equations. We then examine solutions to these equations. We find the counterpart to the cosmological metric, and show how cosmologies based upon our theory of gravity may solve the ``horizon problem''. We discuss the Schwarzchild solution, examining the conditions for which the horizon is energy dependent. We finally find the weak field limit.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Prism Effect in Quantum Gravity

    gr-qc 2026-07 unverdicted novelty 7.0 of 10

    Extended Born-Oppenheimer coupling of the EM field to quantum geometry yields chromatic dispersion of light—a prism effect proposed as an all-energy quantum-gravity probe on a quantum FLRW background.

  2. Stability and Criticality Behaviors of Accelerating Charged AdS Black Holes in Rainbow Gravity

    gr-qc 2025-07 reject novelty 5.0 of 10

    The paper claims a charge-independent critical ratio for accelerating charged AdS black holes in rainbow gravity, but the derivation is internally inconsistent.

  3. UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox

    hep-th 2024-11 unverdicted novelty 5.0 of 10

    Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.

  4. Gravitational Baryogenesis in Rainbow Gauss-Bonnet gravity

    gr-qc 2026-07 reject novelty 4.0 of 10

    Gravitational baryogenesis in a rainbow-gravity-corrected 4D Gauss-Bonnet model can in principle produce Y_B ~ 10^-10 during radiation domination, but only by fitting seven free parameters and using the effective theo...

  5. Black Hole Thermodynamics and Gravity's Rainbow

    gr-qc 2019-07 unverdicted novelty 3.0 of 10

    Gravity's Rainbow framework eliminates the need for regularization and renormalization in calculations of scalar field density of states near rotating black hole horizons.

  6. Analogue gravity with Bose-Einstein condensates

    gr-qc 2025-12 conditional novelty 2.0 of 10

    Phonons in a Bose–Einstein condensate behave as a massless scalar field on an acoustic spacetime; these notes derive that mapping in detail and apply it to superradiance and analogue Hawking radiation.

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