Graviton and scalar propagations on AdS(4) space in f(R) gravities

Details Graviton and scalar propagations on AdS(4) space in f(R) gravities Graviton and scalar propagations on AdS(4) space in f(R) gravities

2010-12-10

arxiv.org/abs/1012.2153v2

Eur.Phys.J.C71:1550,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, version to appear in EPJC

Scientific paper

10.1140/epjc/s10052-011-1550-4

We investigate propagations of graviton and additional scalar on four-dimensional anti de Sitter (AdS$_4$) 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 indicates a difference between general relativity and $f(R)$ gravity clearly.

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