Polarization Modes of Gravitational Waves in Palatini Horndeski theory

Abstract

In this paper, the polarization modes of gravitational waves in Horndeski gravity are studied under the Palatini formalism. After obtaining the linearized equation of perturbations in Minkowski background, we find that the polarization modes of gravitational waves depend on the selection of the theoretical parameters. The polarization modes can be divided into quite rich cases by parameters. In all cases of parameter selection, there are $+$ and $\times$ modes propagating at the speed of light but no vector modes. The only difference from general relativity is scalar modes, especially the scalar degrees of freedom can be 0, 1 or 2 in different cases. The appropriate parameter cases can be expected to be selected in the detection of gravitational wave polarization modes by Lisa, Taiji and TianQin in the future.

arXiv comment23 pages, 1 figure, 1 table

References in corpus (50)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• TianQin: a space-borne gravitational wave detector
• Laser Interferometer Space Antenna
• Generalized G-inflation: Inflation with the most general second-order field equations
• Dark Energy after GW170817 and GRB170817A
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Tests of General Relativity with GW170817
• Search for the isotropic stochastic background using data from Advanced LIGO's second observing run
• Critical Gravity in Four Dimensions
• Model-Independent Test of General Relativity: An Extended post-Einsteinian Framework with Complete Polarization Content
• Probing non-tensorial polarizations of stochastic gravitational-wave backgrounds with ground-based laser interferometers
• Critical Points of D-Dimensional Extended Gravities
• Can Horndeski Theory be recast using Teleparallel Gravity?
• No further gravitational wave modes in $F(T)$ gravity
• 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
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• Probing Dynamical Gravity with the Polarization of Continuous Gravitational Waves
• Metric-affine Gravity and Inflation
• Cosmological Constraints on Horndeski Gravity in Light of GW170817
• Polarizations of Gravitational Waves in Horndeski Theory
• Non-tensorial Gravitational Wave Background in NANOGrav 12.5-Year Data Set
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• Detecting Beyond-Einstein Polarizations of Continuous Gravitational Waves
• Polarization test of gravitational waves from compact binary coalescences
• Reviving Horndeski Theory using Teleparallel Gravity after GW170817
• Model-independent test of gravity with a network of ground-based gravitational-wave detectors
• Generic searches for alternative gravitational wave polarizations with networks of interferometric detectors
• Pure polarization test of GW170814 and GW170817 using waveforms consistent with modified theories of gravity
• Gravitational waves and the polarizations in Hořava gravity after GW170817
• Gauge invariant formulation of gravitational waves in metric $f(R)$ gravity
• Polarization modes of gravitational waves in Quadratic Gravity
• Causality in gravitational theories with second order equations of motion
• Probing gravitational wave polarizations with Advanced LIGO, Advanced Virgo and KAGRA
• Gravitational waves in Einstein-Æther theory and generalized TeVeS theory after GW170817
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Observing gravitational wave polarizations with LISA-TAIJI network
• Gravitational Landau Damping for massive scalar modes
• Varying the Horndeski Lagrangian within the Palatini approach
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• A metric-affine version of the Horndeski theory
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Implications of the Holst term in a $f(R)$ theory with torsion
• Gravitational Wave Propagation and Polarizations in the Teleparallel analog of Horndeski Gravity

Cited by in corpus (15)

• Polarizations of Gravitational Waves in the Bumblebee Gravity Model
• Quintessence in the Weyl-Gauss-Bonnet model
• Constraining Palatini-Horndeski theory with gravitational waves after GW170817
• Polarization modes of gravitational waves in generalized Proca theory
• Classification of Gravitational Waves in Higher-dimensional Space-time and Possibility of Observation
• Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory
• Polarization modes of gravitational waves in general Einstein-vector theory
• Fundamental Physics and Cosmology with TianQin
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Polarization and speed of gravitational waves in hybrid metric-Palatini f(R)-gravity
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Quartic Horndeski-Cartan theories in a FLRW universe
• Healthy Horndeski cosmologies with torsion
• Gravitational-wave effects in the most general vector-tensor theory
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas