Generalized second law and entropy bound for a Reissner- Nordström black hole

doi:https://doi.org/10.48550/arxiv.0806.2192

Open AccessPreprint10.48550/arxiv.0806.2192

Generalized second law and entropy bound for a Reissner- Nordström black hole

P. I. Kuriakose,V. C. Kuriakose-2008-06-13-ArXiv.org

TL;DRAbstract

It has been conjectured that black hole interacting with its surroundings will obey the Generalized Second Law ($GSL$) of thermodynamics. Conservation of $GSL$ is due to the fully thermal nature of Hawking radiation and an upper bound on entropy. We study these aspects for a Reissner-Nordstr$\ddot{\textbf{o}}$m ($RN$)black hole and conjecture that $GSL$ may be conserved if the equation of state of radiation near the horizon is modified. An upper bound on $S/E$, similar to the Bekenstein form evolves in the calculation.

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It has been conjectured that black hole interacting with its surroundings will obey the Generalized Second Law ($GSL$) of thermodynamics. Conservation of $GSL$ is due to the fully thermal nature of Hawking radiation and an upper bound on entropy. We study these aspects for a Reissner-Nordstr$\ddot{\textbf{o}}$m ($RN$)black hole and conjecture that $GSL$ may be conserved if the equation of state of radiation near the horizon is modified. An upper bound on $S/E$, similar to the Bekenstein form evolves in the calculation.

Keywords

Black hole (networking)Entropy (arrow of time)PhysicsBlack hole thermodynamicsTheoretical physicsMathematical physicsLawQuantum mechanics

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