Thermodynamic phase transition in the rainbow Schwarzschild black hole
arXiv:1406.6475 · doi:10.1088/1475-7516/2014/10/003
Abstract
We study the thermodynamic phase transition in the rainbow Schwarzschild black hole where the metric depends on the energy of the test particle. Identifying the black hole temperature with the energy from the modified dispersion relation, we obtain the modified entropy and thermodynamic energy along with the modified local temperature in the cavity to provide well defined black hole states. It is found that apart from the conventional critical temperature related to Hawking-Page phase transition there appears an additional critical temperature which is of relevance to the existence of a locally stable tiny black hole; however, the off-shell free energy tells us that this black hole should eventually tunnel into the stable large black hole. Finally, we discuss the reason why the temperature near the horizon is finite in the rainbow black hole by employing the running gravitational coupling constant, whereas it is divergent near the horizon in the ordinary Schwarzschild black hole.
14pages, 6figures, version to appear in JCAP
References in corpus (11)
- Planck-scale modified dispersion relations and Finsler geometry
- Quantum gravity with a positive cosmological constant
- Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
- Entropy and temperature of black holes in a gravity's rainbow
- Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
- Modified (A)dS Schwarzschild black holes in Rainbow spacetime
- Rainbow universe
- Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
- Hawking-Page Phase Transition of black Dp-branes and R-charged black holes with an IR Cutoff
- The kinematics of particles moving in rainbow spacetime
- Two critical phenomena in the exactly soluble quantized Schwarzschild black hole
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- Black Hole Complementarity in Gravity's Rainbow
- Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
- Thermodynamic phase transition based on the non-singular temperature
- Exploring black hole mechanics in cotangent bundle geometries
- Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
- Thermodynamics of black holes in rainbow gravity