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.

arXiv comment1+10 pages, no figure, published version in Adv. High Energy Phys

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Observation of Gravitational Waves from a Binary Black Hole Merger
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Wormhole geometries in f(R) modified theories of gravity
• The basics of gravitational wave theory
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Black Holes in f(R) theories
• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Massive gravitational waves from f(R) theories of gravity: Potential detection with LISA
• Notes on wormhole existence in scalar-tensor and F(R) gravity
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• f(R) Black holes
• The Imaginary Starobinsky Model
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• Gravitational Wave Polarization Modes in $f(R)$ Theories
• Stability of f(R) black holes
• Instability of rotating black hole in a limited form of $f(R)$ gravity

Cited by in corpus (15)

• Polarizations of gravitational waves in $f(R)$ gravity
• Polarizations of Gravitational Waves in Horndeski Theory
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Gravitational waves in non-local gravity
• Gravitational Waves in Higher Order Teleparallel Gravity
• Quasinormal modes as a distinguisher between general relativity and f(R) gravity: Charged black-holes
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• Characteristic Formulation for Metric $f(R)$ Gravity
• Gravitational waves in Modified Gauss-Bonnet Gravity
• Linearization of a warped $f(R)$ theory in the higher-order frame II: the equation of motion approach
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• Higher derivative quartic vertex of $f(R)$ gravity in light-cone gauge
• On energy-momentum tensor for gravitational waves in $f(R)$ gravity