Eur. Phys. J. C (2013) 73: 2595
https://doi.org/10.1140/epjc/s10052-013-2595-3

Regular Article - Theoretical Physics

The holographic bound in the scalar-tensor and f(R) gravities

School of Physics and School of Astronomy, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran

^* e-mail: j.taghizadeh.f@ipm.ir

Received: 20 May 2013
Revised: 8 September 2013
Published online: 9 October 2013

Abstract

The holographic bound has been extended to the different theory of gravities such as scalar-tensor gravity and f(R) gravity according to the Noether charge definition of the entropy for a black hole surface. We have introduced some popular examples of the flat FRW cosmology in order to investigate holographic bound in scalar-tensor and f(R) gravity. Using the holographic bound, we put an additional constraint on scalar-tensor gravity and the f(R) gravity parameters. We also discuss the transformation from Jordan frame to Einstein frame.