Holography and entropy bounds in Gauss-Bonnet gravity

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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 SB = 2π 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 corresponding Friedmann equation in Gauss-Bonnet gravity can no longer be cast to the form of cosmological Cardy formula. © 2003 Published by Elsevier Science B.V.

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Cai, R. G., & Myung, Y. S. (2003). Holography and entropy bounds in Gauss-Bonnet gravity. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 559(1–2), 60–64. https://doi.org/10.1016/S0370-2693(03)00303-4

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