Polarizations of gravitational waves in $f(R)$ gravity

Abstract

We point out that there are only three polarizations for gravitational waves in $f(R)$ gravity, and the polarization due to the massive scalar mode is a mix of the pure longitudinal and transverse breathing polarization. The classification of the six polarizations by the Newman-Penrose quantities is based on weak, plane and null gravitational waves, so it is not applicable to the massive mode.

no figure, comments are welcome, PRD in press

References in corpus (14)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Solar System tests DO rule out 1/R gravity
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Various Hamiltonian formulations of f(R) gravity and their canonical relationships
• Massive gravitational waves from the R^2 theory of gravity: production and response of interferometers
• The production of matter from curvature in a particular linearized high order theory of gravity and the longitudinal response function of interferometers
• Nonminimal coupling and inflationary attractors
• Testing metric-affine f(R)-gravity by relic scalar gravitational waves
• Propagating degrees of freedom in f(R) gravity
• On the canonical formalism of $f(R)$-type gravity using Lie derivatives

Cited by in corpus (95)

• Teleparallel Gravity: From Theory to Cosmology
• The Astrophysics of Nanohertz Gravitational Waves
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• Gravitational Waves in Modified Teleparallel Theories
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• The Science of the Einstein Telescope
• Polarizations of Gravitational Waves in Horndeski Theory
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• Gravitational waves in theories with a non-minimal curvature-matter coupling
• A new f(R) Gravity Model and properties of Gravitational Waves in it
• Polarizations of Gravitational Waves in the Bumblebee Gravity Model
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Gravitational Waves in $F(R)$ Gravity: Scalar Waves and the Chameleon Mechanism
• Pulsar-timing arrays, astrometry, and gravitational waves
• Quasinormal Modes of Black Holes with Non-Linear-Electrodynamic sources in Rastall Gravity
• The Polarizations of Gravitational Waves
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Gravitational memory effects and Bondi-Metzner-Sachs symmetries in scalar-tensor theories
• Subluminal stochastic gravitational waves in pulsar-timing arrays and astrometry
• Waveforms of compact binary inspiral gravitational radiation in screened modified gravity
• Frequency response of space-based interferometric gravitational-wave detectors
• Gauge invariant formulation of gravitational waves in metric $f(R)$ gravity
• Joule-Thomson expansion and Optical behaviour of Reissner-Nordström-Anti-de Sitter black holes in Rastall gravity surrounded by a Quintessence field
• Constraints on Horndeski Theory Using the Observations of Nordtvedt Effect, Shapiro Time Delay and Binary Pulsars
• Constraints on $f(R)$ theories of gravity from GW170817
• Testing parity symmetry of gravity with gravitational waves
• Gravitational waves in non-local gravity
• Gravitational waves in Einstein-Æther theory and generalized TeVeS theory after GW170817
• Gravitational waves and extra dimensions: a short review
• Gravitational waves effects in a Lorentz-violating scenario
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Gravitational memory effects in Chern-Simons modified gravity
• Full analytical formulas for frequency response of space-based gravitational wave detectors
• Gravitational Waves in Higher Order Teleparallel Gravity
• Sky localization of space-based gravitational wave detectors
• Frequency response of time-delay interferometry for space-based gravitational wave antennas
• Quasinormal Modes and Greybody factors of de Sitter Black holes surrounded by Quintessence in Rastall gravity
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Polarization Modes of Gravitational Waves in Palatini Horndeski theory
• Photonsphere, shadow, quasinormal modes, and greybody bounds of non-rotating Simpson-Visser black hole
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals
• Gravitational wave birefringence in spatially curved teleparallel cosmology
• Phantom energy dominated universe as a transient stage in $f(R)$ cosmology
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Constraining gravitational-wave polarizations with Taiji
• Constraint on the mass of graviton with gravitational waves
• Linearized modified gravity theories and gravitational waves physics in the GBD theory
• Polarization modes of gravitational waves in generalized Proca theory
• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
• Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory
• Testing alternative theories of gravity with space-based gravitational wave detectors
• Massless Dirac Perturbations of black holes in f(Q) gravity: quasinormal modes and weak deflection angle
• Joint Analysis of Constraints on f(R) Parametrization from Recent Cosmological Observations
• Scalar-tensor nonlocal gravity
• Gravitational waves in Brans-Dicke Theory with a cosmological constant
• Constraint on reconstructed f(R) gravity models from gravitational waves
• Gravitational waves in conformal gravity
• Detection of gravitational wave mixed polarization with single space-based detectors
• Gravitational radiation from binary systems in $f(R)$ gravity: A semi-classical approach
• Fundamental Physics and Cosmology with TianQin
• Polarization modes of gravitational waves in general Einstein-vector theory
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Neutron Stars in Palatini $R+\alpha R^2$ and $R+\alpha R^2+\beta Q$ Theories
• Strong Equivalence Principle and Gravitational Wave Polarizations in Horndeski Theory
• Polarization and speed of gravitational waves in hybrid metric-Palatini f(R)-gravity
• Gravitational wave polarizations in nonminimally coupled gravity
• Minimally modified gravity with auxiliary constraints formalism
• Damping of gravitational waves in f(R) gravity
• Linearized Field Equations and Extra Force in $f(R,{\mathbf{T}}^{(n)})$ Extended Gravity
• Gravitational Wave Propagation and Polarizations in the Teleparallel analog of Horndeski Gravity
• Probing nontensorial gravitational waves with a next-generation ground-based detector network
• Gravitational waves in the extended theory of gravity
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Unveiling the existence of nontensorial gravitational-wave polarizations from individual supermassive black hole binaries with pulsar timing arrays
• Gravitational-wave effects in the most general vector-tensor theory
• Multipole analysis for linearized $f(R,\mathcal{G})$ gravity with irreducible Cartesian tensors
• Gravitational waves in a minimal gravitational SME
• Multipole analysis for linearized $f(R)$ gravity with irreducible Cartesian tensors
• Gravitational Waves in Scalar-Tensor-Vector Gravity Theory
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• 4G: Pure fourth-order gravity
• Propagation effects of Lorentz violation in gravitational waves
• On energy-momentum tensor for gravitational waves in $f(R)$ gravity
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Gravitational waves in massive Horndeski theory with a potential
• Higher derivative quartic vertex of $f(R)$ gravity in light-cone gauge
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Linearized Gravity in the Starobinsky Model: Perturbative Deviations from General Relativity
• Propagation and emission of gravitational waves in the weak-field limit within the Palatini formalism