Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes

Abstract

Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced black hole metric inspired by Kiselev's ansatz, thus defining a deformed Reissner-Nordström metric. In particular, we consider thermodynamic properties of such a black hole from the combined viewpoints of the modified equation of state parameter and the phenomenological approach to the quantum gravity problem called rainbow gravity.

arXiv comment16 pages, 8 figures

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Cited by in corpus (8)

• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Reaching the Planck scale with muon lifetime measurements
• Observables from spherically symmetric modified dispersion relations
• The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence
• Thermal dimensional reduction and black hole evaporation
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics
• Kinetic gases in static spherically symmetric modified dispersion relations