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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Some more typos corrected. Accepted for publication in Phys. Rev. Lett

Scientific paper

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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