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

Abstract

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.

arXiv comment11 pages, no figures, version to appear in EPJC

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• f(R) Gravities, Killing Spinor Equations, "BPS" Domain Walls and Cosmology
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Covariant Graviton Propagator in Anti-de Sitter Spacetime
• Holographic anomaly in 3d f(Ric) gravity
• Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach