Remnants of black holes from rainbow gravity in terms of a new VSL theory

TL;DR

This paper introduces a new VSL theory linked to rainbow gravity, showing how black hole properties like temperature and entropy are significantly altered at high energies, with a logarithmic entropy correction.

Contribution

It develops a novel VSL framework within rainbow gravity and analyzes its effects on black hole thermodynamics, revealing essential differences from standard models.

Findings

Black hole temperature and entropy are modified at high energies.

A logarithmic term appears in the entropy of all black objects.

Black hole behaviors differ significantly near the Planck scale.

Abstract

The gravity's rainbow function is derived in terms of a new varying speed of light (VSL) theory that varying velocity of light in the rainbow gravity becomes smaller when the energy of photons increases. In light of the new theory we calculate the modified temperature, entropy and heat capacity of the Schwarzschild, Kerr, AdS black holes, as well as spinning black rings. Our results demonstrate that in rainbow gravity the behaviors of various black holes have remarkably essential difference from those of standard black holes near the Planck scale, and a logarithmic term emerges in the formula of the entropy of every black object.