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 t...

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Main Authors: Shaoqi Hou, Yungui Gong
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6684-9
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author Shaoqi Hou
Yungui Gong
author_facet Shaoqi Hou
Yungui Gong
author_sort Shaoqi Hou
collection DOAJ
description 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 apparent longitudinal polarization exists no matter whether the scalar field is massive or not. It would be still very difficult to detect the enhanced/apparent 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 relatively easily to detect the effect of the violation as neutron stars have large self-gravitating energies. 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.
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spelling doaj.art-481b4819001c4149ad24b4ba2986d6af2022-12-22T00:48:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-03-0179311210.1140/epjc/s10052-019-6684-9Strong equivalence principle and gravitational wave polarizations in Horndeski theoryShaoqi Hou0Yungui Gong1School of Physics, Huazhong University of Science and TechnologySchool of Physics, Huazhong University of Science and TechnologyAbstract 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 apparent longitudinal polarization exists no matter whether the scalar field is massive or not. It would be still very difficult to detect the enhanced/apparent 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 relatively easily to detect the effect of the violation as neutron stars have large self-gravitating energies. 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.http://link.springer.com/article/10.1140/epjc/s10052-019-6684-9
spellingShingle Shaoqi Hou
Yungui Gong
Strong equivalence principle and gravitational wave polarizations in Horndeski theory
European Physical Journal C: Particles and Fields
title Strong equivalence principle and gravitational wave polarizations in Horndeski theory
title_full Strong equivalence principle and gravitational wave polarizations in Horndeski theory
title_fullStr Strong equivalence principle and gravitational wave polarizations in Horndeski theory
title_full_unstemmed Strong equivalence principle and gravitational wave polarizations in Horndeski theory
title_short Strong equivalence principle and gravitational wave polarizations in Horndeski theory
title_sort strong equivalence principle and gravitational wave polarizations in horndeski theory
url http://link.springer.com/article/10.1140/epjc/s10052-019-6684-9
work_keys_str_mv AT shaoqihou strongequivalenceprincipleandgravitationalwavepolarizationsinhorndeskitheory
AT yunguigong strongequivalenceprincipleandgravitationalwavepolarizationsinhorndeskitheory