Eur. Phys. J. C (2011) 71: 1550
https://doi.org/10.1140/epjc/s10052-011-1550-4

Regular Article - Theoretical Physics

Graviton and scalar propagations on AdS₄ space in f(R) gravities

Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae, 621-749, Korea

^* e-mail: ysmyung@inje.ac.kr

Received: 18 December 2010
Revised: 5 January 2011
Published online: 12 February 2011

Abstract

We investigate propagations of graviton and additional scalar on four-dimensional anti-de Sitter (AdS₄) space using f(R) gravity models with external sources. It is shown that there is the van Dam–Veltman–Zakharov (vDVZ) discontinuity in f(R) gravity models because f(R) gravity implies GR with additional scalar. This clearly indicates a difference between general relativity and f(R) gravity.