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arXiv · hep-th/0210300

Holography and Entropy Bounds in Gauss-Bonnet Gravity

Rong-Gen Cai·Yun Soo Myung
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Abstract

We discuss the holography and entropy bounds in Gauss-Bonnet gravity theory. By applying a Geroch process to an arbitrary spherically symmetric black hole, we show that the Bekenstein entropy bound always keeps its form as $S_{\rm B}=2πE R$, independent of gravity theories. As a result, the Bekenstein-Verlinde bound also remains unchanged. Along the Verlinde's approach, we obtain the Bekenstein-Hawking bound and Hubble bound, which are different from those in Einstein gravity. Furthermore, we note that when $HR=1$, the three cosmological entropy bounds become identical as in the case of Einstein gravity. But, the Friedmann equation in Gauss-Bonnet gravity can no longer be cast to the form of cosmological Cardy formula.

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Rong-Gen Cai, Yun Soo Myung. 2002-10-31. Holography and Entropy Bounds in Gauss-Bonnet Gravity. https://doi.org/10.1016/s0370-2693(03)00303-4

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