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Quantum Corrections for ABGB Black Hole

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arxiv 1109.3988 v1 pith:EPH3L5QB submitted 2011-09-19 gr-qc

Quantum Corrections for ABGB Black Hole

classification gr-qc
keywords blackcorrectionsholeentropychargequantuma-bronnikovabgb
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we study quantum corrections to the temperature and entropy of a regular Ay\'{o}n-Beato-Garc\'{\i}a-Bronnikov black hole solution by using tunneling approach beyond semiclassical approximation. We use the first law of black hole thermodynamics as a differential of entropy with two parameters, mass and charge. It is found that the leading order correction to the entropy is of logarithmic form. In the absence of the charge, i.e., $e=0$, these corrections approximate the corresponding corrections for the Schwarzschild black hole.

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