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 (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 indicates a difference between general relativity and f(R) gravity clearly.
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