Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals

Jiang, Tong; Dai, Ning; Gong, Yungui; Liang, Dicong; Zhang, Chao

doi:10.1088/1475-7516/2022/12/023

Cited by 8 publications

(4 citation statements)

References 165 publications

(184 reference statements)

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“…Based on previous analysis [64,65], higher harmonics can only greatly influence the exterior parameters and have nearly no influence on the intrinsic parameters. We can only compute the GW signal in the quadrupole approximation [66][67][68]. The GW waveform from EMRIs is given by…”

Section: Resultsmentioning

confidence: 99%

“…where (t c , ϕ c ) are time and phase offsets [73]. Two waveforms are considered experimentally distinguishable if their mismatch is larger than d/(2ρ 2 ) = 2.2 × 10 −4 (d = 10, ρ = 150) with d being the number of parameters [68]. To consider degeneracies among the source parameters and give a more accurate analysis on the detectability of the dark matter with LISA, we carry out the parameter estimation with the FIM method.…”

Section: Jcap04(2024)088mentioning

confidence: 99%

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Detecting dark matter halos with extreme mass-ratio inspirals

Zhang,

Fu,

Dai

2024

J. Cosmol. Astropart. Phys.

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Extreme mass ratio inspirals (EMRIs), where a small compact object inspirals into a supermassive black hole, are excellent sources for the space-based laser interferometer gravitational wave (GW) detectors. The presence of the dark matter (DM) halo surrounding the supermassive black hole will influence the orbital evolution and emitted gravitational waveform of the binary. By direct observation of GW signals, we assess the detector's capability to detect whether an EMRI is immersed in a DM halo and to measure its characteristic spatial scale a 0 and mass M halo. Apart from the GW emission, the dynamical friction and accretion caused by the DM halo can also affect the dynamics of an EMRI, leaving detectable signatures in the emitted gravitational signal. We perform a Fisher-matrix error analysis to estimate the errors of parameters a 0 and M halo, as well as their correlation. The results show that the highly correlated parameters a 0 and M halo deteriorate the detector's ability to measure DM halo even though the dephasing and mismatch between signals with and without DM indicate much difference. The effects of the dynamical friction and accretion can break possible degeneracy between parameters a 0 and M halo, thus greatly decreasing the uncertainty by about one order of magnitude.

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Section: Resultsmentioning

confidence: 99%

Section: Jcap04(2024)088mentioning

confidence: 99%

Detecting dark matter halos with extreme mass-ratio inspirals

Zhang,

Fu,

Dai

2024

J. Cosmol. Astropart. Phys.

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“…Theoretically, using the simple approximate waveform template with the dipolar correction in the phase and the Fisher matrix method, it was estimated that the observation of a 0.7M e neutron star (NS) on a quasicircular inspiral into a 3M e black hole (BH) with a signal-to-noise (SNR) of 10 by LIGO/Virgo detectors can give the constraint ω BD  2000 [35]. In the extreme mass ratio inspiral (EMRI) system, the constraint is expected to be enhanced to ω BD > 10 5 [36]. However, the Fisher matrix method has limitations and the estimates are usually too optimistic because the Fisher matrix method models the likelihood as a covariant Gaussian [37,38].…”

Section: Introductionmentioning

confidence: 99%

Test of the Brans–Dicke theory with GW200105 and GW200115

Fei,

Yang

2024

Commun. Theor. Phys.

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We study the possibility to constrain the Brans-Dicke (BD) theory from the measurement of gravitational wave (GW) released in neutron star-black hole collisions. Considering the scalar field modifications through monopole and dipole radiations, we find additional contributions to the phase evolution in the emitted gravitational waveform. After effectively calculating such effect in the post-Newtonian order, we are in a position to measure the scalar field and give bounds on the BD coupling parameter $\omega_{BD}$. We derive the analytical expression for the phase modification due to the orbital eccentricity of eccentric binaries in both general relativity and BD theory. Employing the Bayesian analysis, we obtain the constraints on $\omega_{BD}$ from the GW events GW200105 and GW200115.

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“…The detection of eccentric binaries and the measurement of the eccentricity are not only useful to infer the binary formation mechanism [32][33][34][35][36][37][38][39][40][41], but also helpful to constrain alternative theories of gravity. Although the strength of the scalar mode is not comparable with those of the tensor modes, there are still cumulative effects that can be detected by the space-based detectors [13,14,21,22,25,30,[42][43][44][45][46][47][48]. The black hole (BH) endowed with the additional JCAP06(2023)054 scalar field can carry a scalar charge whose quantity is inverse to the mass squared in a class of scalar-tensor theories [49][50][51][52][53][54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

Gravitational waves from eccentric extreme mass-ratio inspirals as probes of scalar fields

Zhang

Gong

Liang

et al. 2023

J. Cosmol. Astropart. Phys.

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We study eccentric orbits of the Schwarzschild spacetime for extreme mass ratio system (EMRI) in modified gravity theories with additional scalar fields. Due to the additional energy and angular momentum carried away by the scalar field, the orbit of the EMRI in modified gravity decays faster than that in general relativity. The time that it takes the eccentricity e to reach the minimum is shorter and the values of the semi-latus rectum p and e at the turning point when e reaches the minimum are bigger for larger scalar charge d. In addition to the calculation of energy fluxes with numerical methods, we also use the Post-Newtonian expansion of the rate of energy carried away by the scalar field in eccentric orbits to understand the behaviors of the energy emission. By adding the scalar flux to the open code FastEMRIWaveforms of the Black Hole Perturbation Toolkit, we numerically generate fast gravitational waveforms for eccentric EMRIs with scalar fields and use the faithfulness between waveforms with and without the scalar charge to discuss the detection of scalar charge d. The detection error of the scalar charge is also estimated with the method of the Fisher information matrix.

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Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals

Cited by 8 publications

References 165 publications

Detecting dark matter halos with extreme mass-ratio inspirals

Detecting dark matter halos with extreme mass-ratio inspirals

Test of the Brans–Dicke theory with GW200105 and GW200115

Gravitational waves from eccentric extreme mass-ratio inspirals as probes of scalar fields

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