Strong Equivalence Principle and Gravitational Wave Polarizations in Horndeski Theory

Abstract

The relative acceleration between two nearby particles moving along accelerated trajectories is studied, which generalizes the geodesic deviation equation. The polarization content of the gravitational wave in Horndeski theory is investigated by examining the relative acceleration between two self-gravitating particles. It is found out that the longitudinal polarization exists no matter whether the scalar field is massive or not. It would be still very difficult to detect the enhanced longitudinal polarization with the interferometer, as the violation of the strong equivalence principle of mirrors used by interferometers is extremely small. However, the pulsar timing array is promised to relatively easily detect the effect of the violation as neutron stars have large self-energy. The advantage of using this method to test the violation of the strong equivalence principle is that neutron stars are not required to be present in the binary systems.

25 pages, 2 figures. Matched the published version

References in corpus (21)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Confrontation between General Relativity and Experiment
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Tests of General Relativity with GW170817
• The NANOGrav 11-year Data Set: Pulsar-timing Constraints On The Stochastic Gravitational-wave Background
• Scalar-tensor theories and modified gravity in the wake of GW170817
• Testing the universality of free fall by tracking a pulsar in a stellar triple system
• Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays
• Tests of Gravitational Symmetries with Pulsar Binary J1713+0747
• Detecting massive gravitons using pulsar timing arrays
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• The Polarizations of Gravitational Waves
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Constraints on Horndeski Theory Using the Observations of Nordtvedt Effect, Shapiro Time Delay and Binary Pulsars

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