Physical process first law and increase of horizon entropy for black holes in Einstein-Gauss-Bonnet gravity

Ayan Chatterjee; Sudipta Sarkar

Physical process first law and increase of horizon entropy for black holes in Einstein-Gauss-Bonnet gravity

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arxiv 1111.3021 v3 pith:YUFYJEJT submitted 2011-11-13 gr-qc hep-th

Ayan Chatterjee , Sudipta Sarkar This is my paper · ORCID

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keywords blackstationaryeinstein-gauss-bonnetenergyentropyfirstgravityhole

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We establish the physical process version of first law by studying small perturbations of a stationary black hole with regular bifurcation surface in Einstein-Gauss-Bonnet (EGB) gravity. Our result shows that when the stationary black hole is perturbed by a matter stress energy tensor and finally settles down to a new stationary state, the Wald entropy increases as long as the matter satisfies null energy condition.

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In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the ...

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