Rainbow Gravity and Black Hole Phenomena
Summary
Rainbow gravity posits that the geometry of spacetime depends on the energy of the probe, leading to an energy-dependent metric that modifies the standard dispersion relation at Planckian scales. This approach introduces rainbow functions that deform curvature invariants and affect classical black hole solutions, altering horizon structure, singularity behaviour and geodesic motion. In particular, modifications to the Hawking temperature and entropy emerge from the interplay between ultraviolet corrections and quantum field theory on curved backgrounds, often culminating in stable black hole remnants. These developments have deepened our understanding of black hole thermodynamics, phase transitions and information retention, while offering potential observational signatures in high-energy astrophysics and tests of quantum gravity phenomenology.
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Rainbow Gravity and Black Hole Phenomena publication trend
The graph below shows the total number of articles in rainbow gravity and black hole phenomena across all publications each year (not limited to Nature Index journals).
Technical terms
Rainbow functions: Energy-dependent functions that deform the spacetime metric and dispersion relations at high energies.
Modified dispersion relation: A relation between energy and momentum that deviates from the linear form near the Planck scale.
Hawking temperature: The temperature associated with black hole radiation, which can be altered by quantum-gravity corrections.
Photon sphere: The unstable circular orbit of photons around a black hole, whose radius shifts under metric deformations.
Black hole remnant: A stable, non-evaporating endpoint of black hole evaporation predicted by some quantum-gravity models.
Phase transition: A change in the thermodynamic state of a black hole signalled by discontinuities in free energy derivatives.
References
- Accelerating AdS black holes in gravity’s rainbow. European Physical Journal C (2024).
- Thermodynamic phase transition of a black hole in rainbow gravity. Physics Letters B (2017).
- Regular black holes in Rainbow Gravity. Nuclear Physics B (2020).
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