Modified (A)dS Schwarzschild black holes in Rainbow spacetime

TL;DR

This paper introduces a modified (A)dS Schwarzschild black hole solution within rainbow gravity, exploring its thermodynamics and linking temperature to quantum uncertainty principles, revealing new insights into black hole physics.

Contribution

It presents a novel black hole solution in rainbow gravity with a cosmological constant and connects its temperature to quantum uncertainty and modified dispersion relations.

Findings

Hawking temperature can be derived from extended uncertainty principles.

Modified black holes' temperature depends on probe energy.

Intrinsic temperature concept aligns with radiation emission.

Abstract

A modified (Anti-)de Sitter Schwarzschild black hole solution is presented in the framework of rainbow gravity with a cosmological constant. Its thermodynamical properties are investigated. In general the temperature of modified black holes is dependent on the energy of probes which take the measurement. However, a notion of intrinsic temperature can be introduced by identifying these probes with radiation particles emitted from black holes. It is interesting to find that the Hawking temperature of this sort of black holes can be reproduced by employing the extended uncertainty principle and modified dispersion relations to the ordinary (A)dS Schwarzschild black holes.