Probing the f(R) formalism through gravitational wave polarizations

Abstract

The direct observation of gravitational waves (GWs) in the near future, and the corresponding determination of the number of independent polarizations, is a powerful tool to test general relativity and alternative theories of gravity. In the present work we use the Newman-Penrose formalism to characterize GWs in quadratic gravity and in a particular class of f(R) Lagrangians. We find that both quadratic gravity and the f(R) theory belong to the most general invariant class of GWs, i.e., they can present up to six independent polarizations of GWs. For a particular combination of the parameters, we find that quadratic gravity can present up to five polarizations states. On the other hand, if we use the Palatini approach for f(R) theories, GWs present only the usual two transverse-traceless polarizations such as in general relativity. Thus, we conclude that the observation of GWs can strongly constrain the suitable formalism for these theories.

18 pages, 1 figure, accepted for publication in Physics Letters B

References in corpus (4)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• 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
• On Gravitational Waves in Spacetimes with a Nonvanishing Cosmological Constant

Cited by in corpus (57)

• f(R) theories
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Non-Spinning Black Holes in Alternative Theories of Gravity
• Generalized framework for testing gravity with gravitational-wave propagation. I. Formulation
• Stochastic backgrounds in alternative theories of gravity: overlap reduction functions for pulsar timing arrays
• Gravitational waves in the $f(R,T)$ theory of gravity
• Polarizations of gravitational waves in $f(R)$ gravity
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Polarizations of Gravitational Waves in Horndeski Theory
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• LISA Sensitivities to Gravitational Waves from Relativistic Metric Theories of Gravity
• Gravitational Wave Polarization Modes in $f(R)$ Theories
• Gravitational waves in theories with a non-minimal curvature-matter coupling
• Cosmological test of gravity with polarizations of stochastic gravitational waves around 0.1-1 Hz
• Gravitational waves in modified teleparallel theories of gravity
• Model-independent test of gravity with a network of ground-based gravitational-wave detectors
• Linear Stability Analysis of Dynamical Quadratic Gravity
• Pulsar Timing Sensitivities to Gravitational Waves from Relativistic Metric Theories of Gravity
• Polarization modes of gravitational waves in Quadratic Gravity
• Considerations on gravitational waves in higher-order local and non-local gravity
• Reheating after f(R) inflation
• Gravitational waves in non-local gravity
• Constraint on reheating after f(R) inflation from gravitational waves
• Extra polarization states of cosmological gravitational waves in alternative theories of gravity
• Gravitational Waves in Higher Order Teleparallel Gravity
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• Probing for massive stochastic gravitational-wave background with a detector network
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• Polarization Modes of Gravitational Wave for Viable f(R) Models
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Constraining gravitational-wave polarizations with Taiji
• Linearized modified gravity theories and gravitational waves physics in the GBD theory
• Gravitational radiation in higher order non-local gravity
• Constraint on reconstructed f(R) gravity models from gravitational waves
• Gravitational waves in conformal gravity
• Observational Constraints on Visser's Cosmological Model
• On the canonical formalism of $f(R)$-type gravity using Lie derivatives
• Neutron Stars in Palatini $R+\alpha R^2$ and $R+\alpha R^2+\beta Q$ Theories
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Ernst formulation of axisymmetric fields in $f(R)$ gravity: applications to neutron stars and gravitational waves
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• Gravitational wave polarizations in nonminimally coupled gravity
• Polarization and speed of gravitational waves in hybrid metric-Palatini f(R)-gravity
• Massive gravitational waves in Chern-Simons modified gravity
• Prospects of constraining on the polarizations of gravitational waves from binary black holes using space- and ground-based detectors
• Gravitational waves in the extended theory of gravity
• Stochastic backgrounds of gravitational waves from cosmological sources - The role of dark energy
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Causal properties of nonlinear gravitational waves in modified gravity
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Some exact relativistic star solutions in $f(R)$ gravity
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• The description of gravitational waves in geometric scalar gravity
• Data Analysis of Massive Gravitational Waves from Gamma Ray Bursts
• The Equivalence and/or the Effacing principle in $f\left(R\right)$ theories of gravity
• Stable massless scalar polarization of f(R) gravity