Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory

Abstract

In this work, we study the thermodynamic properties on a non--commutative background via gravitational gauge field potentials. This procedure is accomplished after contracting de Sitter (dS) group, $\mathrm{SO}(4,1)$, with the Poincarè group, $\mathrm{ISO}(3,1)$. Particularly, we focus on a static spherically symmetric black hole. In this manner, we calculate the modified Hawking temperature and the other deformed thermal state quantities, namely, entropy, heat capacity, Helmholtz free energy and pressure. Finally, we also investigate the black hole evaporation process in such a context.

14 pages

References in corpus (11)

• Noncommutative Black Hole Thermodynamics
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Charged rotating noncommutative black holes
• Symmetry, Gravity and Noncommutativity
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Towards Noncommutative Quantum Black Holes
• Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space
• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Lorentz-violating scenarios in a thermal reservoir
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
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