Gravitational waveforms and radiation powers of the triple system PSR J0337+1715 in modified theories of gravity

Abstract

In this paper, we study the gravitational waveforms, polarizations and radiation powers of the first relativistic triple systems PSR J0337 + 1715, observed in 2014, by using the post-Newtonian approximations to their lowest order. Although they cannot be observed either by current or next generation of the detectors, they do provide useful information to test different theories of gravity. In particular, we carry out the studies in three different theories, general relativity (GR), Brans-Dicke (BD) gravity, and Einstein-aether ($\ae$) theory. The tensor modes $h_{+}$ and $h_{\times }$ exist in all three theories and have almost equal amplitudes. Their frequencies are all peaked at two locations, $f_1^{(+,\times )}\simeq 0.0686656\mu$Hz and $f_2^{(+,\times )}\simeq 14.2138\mu$Hz, which are about twice of the outer and inner orbital frequencies of the triple system, as predicted in GR. In $\ae$-theory, all the six polarization modes are different from zero, but the breathing $h_b$ and longitudinal $h_L$ modes are not independent and also peaked at two frequencies, but at the frequencies, $f_1^{(b,L,\ae )}\simeq 0.0457771\mu$Hz and $f_2^{(b,L,\ae )}\simeq 7.09545\mu$Hz. A similar phenomenon is also observed in BD gravity, in which only the three modes $h_{+},h_{\times }$ and $h_b$ exit. We also study the radiation powers, and find that the quadrupole emission in each of the three theories has almost the same amplitude, but the dipole emission can be as big as the quadrupole emission in $\ae$-theory. This can provide a very promising window to obtain severe constraints on $\ae$-theory by the multi-band gravitational wave astronomy.

arXiv commentrevtex-4, 14 figures, no table. version to appear in PRD

References in corpus (30)

• 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
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• 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
• The Confrontation between General Relativity and Experiment
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Gravity with a dynamical preferred frame
• Gravitational-wave sensitivity curves
• Tertiary companions to close spectroscopic binaries
• The promise of multi-band gravitational wave astronomy
• Einstein-Aether Waves
• Lorentz-Violating Vector Fields Slow the Universe Down
• A millisecond pulsar in a stellar triple system
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
• Post-Newtonian parameters and constraints on Einstein-aether theory
• Testing the universality of free fall by tracking a pulsar in a stellar triple system
• Constraints on Einstein-aether theory after GW170817
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• Strong field effects on binary systems in Einstein-aether theory
• Radiation Damping in Einstein-Aether Theory
• Testing Brans-Dicke gravity using the Einstein telescope
• Testing the strong equivalence principle with the triple pulsar PSR J0337+1715
• Gravitational wave forms, polarizations, response functions and energy losses of triple systems in Einstein-Aether theory
• Testing general relativity with compact-body orbits: A modified Einstein-Infeld-Hoffmann framework
• Gravitational Waves from Periodic Three-Body Systems

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