Holography and entropy bounds in Gauss-Bonnet gravity

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-B = 2pi 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. (C) 2003 Published by Elsevier Science B.V.