Gauge invariant formulation of gravitational waves in metric $f(R)$ gravity

Abstract

We analyze the gravitational waves propagation in metric $f(R)$ theories of gravity. In particular, adopting a gauge invariant formalism we clearly determine the exact propagating degrees of freedom. Then, investigating their effects on test masses via geodesic deviation equation, we show that the additional dynamical degree contained in such extended formulations is actually responsible for two distinguished polarizations, corresponding to a breathing and a longitudinal mode, respectively.

arXiv comment6 pages, no figures. Comments are welcome

References in corpus (30)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Tests of general relativity with GW150914
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Chern-Simons Modification of General Relativity
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• The basics of gravitational wave theory
• Extended Gravity Cosmography
• Model-Independent Test of General Relativity: An Extended post-Einsteinian Framework with Complete Polarization Content
• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Fourth order gravity: equations, history, and applications to cosmology
• Massive gravitational waves from f(R) theories of gravity: Potential detection with LISA
• A Search for Tensor, Vector, and Scalar Polarizations in the Stochastic Gravitational-Wave Background
• Polarizations of gravitational waves in $f(R)$ gravity
• First search for nontensorial gravitational waves from known pulsars
• Spherically Symmetric Solutions to Fourth-Order Theories of Gravity
• Detecting Beyond-Einstein Polarizations of Continuous Gravitational Waves
• Gravitational Wave Polarization Modes in $f(R)$ Theories
• Testing Brans-Dicke gravity using the Einstein telescope
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• Gravitational Waves in $F(R)$ Gravity: Scalar Waves and the Chameleon Mechanism
• A correspondence between modified gravity and General Relativity with scalar fields
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint
• Impact of infrasound atmospheric noise on gravity detectors used for astrophysical and geophysical applications
• Gravitational perturbations of a Kerr black hole in $f(R)$ gravity
• Constraining modified theories of gravity with gravitational wave stochastic background
• Jumping from Metric f(R) to Scalar-Tensor Theories and the relations between their post-Newtonian Parameters
• Universality of the Einstein theory of gravitation
• Gauge independent response of a laser interferometer to gravitational waves

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• Subluminal stochastic gravitational waves in pulsar-timing arrays and astrometry
• Metric $f(R)$ gravity with dynamical dark energy as a scenario for the Hubble tension
• Landau damping for gravitational waves in parity-violating theories
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Polarization Modes of Gravitational Waves in Palatini Horndeski theory
• Constraining the Extra Polarization Modes of Gravitational Waves with Double White Dwarfs
• Gravitational-wave polarizations in generic linear massive gravity and generic higher-curvature gravity
• Constraining Horndeski theory with gravitational waves from coalescing binaries
• Propagation of scalar and tensor gravitational waves in Horndeski theory
• Revisiting compact star in $F(R)$ gravity: Roles of chameleon potential and energy conditions
• Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory
• Gravitational waves in Modified Gauss-Bonnet Gravity
• Decay of $f(R)$ quintessence into dark matter: mitigating the Hubble tension?
• Quantum Dynamics of the Isotropic Universe in the Metric f(R) Gravity
• Gauge invariants of linearized gravity with a general background metric
• Fundamental Physics and Cosmology with TianQin
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• Linear analysis of the gravitational beam-plasma instability
• Inflation in non-local hybrid metric-Palatini gravity
• Features of the Primordial Universe in f(R)-gravity as viewed in the Jordan frame
• Gravitational-wave effects in the most general vector-tensor theory
• New gravitational wave polarization modes in the torsionless spacetime
• Self-consistent interaction of linear gravitational and electromagnetic waves in non-magnetized plasma
• Signature of $f\left(R\right)$ gravity via Lemaître-Tolman-Bondi inhomogeneous perturbations
• Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Linearized Gravity in the Starobinsky Model: Perturbative Deviations from General Relativity