Modified (A)dS Schwarzschild black holes in Rainbow spacetime

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.

11 pages. The version to appear in CQG

References in corpus (8)

• Planck-scale modified dispersion relations and Finsler geometry
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Rainbow universe
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Deformed Special Relativity in Position Space
• The kinematics of particles moving in rainbow spacetime
• Time delay of light signals in an energy-dependent spacetime metric