Propagating degrees of freedom in f(R) gravity

Abstract

We have computed the number of polarization modes of gravitational waves propagating in the Minkowski background in $f(R)$ gravity. This is three of two from transverse-traceless tensor modes and one from a massive trace mode, which confirms the results found in the literature. There is no massless breathing mode and the massive trace mode corresponds to the Ricci scalar. A newly defined metric tensor in $f(R)$ gravity satisfies the transverse-traceless (TT) condition as well as the TT wave equation.

1+10 pages, no figure, published version in Adv. High Energy Phys

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Cited by in corpus (5)

• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Gravitational waves in non-local gravity
• Characteristic Formulation for Metric $f(R)$ Gravity
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• On energy-momentum tensor for gravitational waves in $f(R)$ gravity