Holography and Entropy Bounds in Gauss-Bonnet Gravity

Details Holography and Entropy Bounds in Gauss-Bonnet Gravity Holography and Entropy Bounds in Gauss-Bonnet Gravity

2002-10-31

arxiv.org/abs/hep-th/0210300v1

Phys.Lett. B559 (2003) 60-64

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex

Scientific paper

10.1016/S0370-2693(03)00303-4

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 $S_{\rm B}=2\pi E R$, 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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