Testing general relativity with TianQin: the prospect of using the inspiral signals of black hole binaries

Abstract

In this paper, we carry out a systematic study of the prospect of testing general relativity with the inspiral signals of black hole binaries that could be detected with TianQin. The study is based on the parameterized post-Einsteinian (ppE) waveform, so that many modified gravity theories can be covered simultaneously. We consider black hole binaries with total masses ranging from $10{\mathrm{M}}_{\odot }\sim 10^7{\mathrm{M}}_{\odot }$ and ppE corrections at post-Newtonian (PN) orders ranging from $-4$PN to $2$PN. Compared to the current ground-based detectors, TianQin can improve the constraints on the ppE phase parameter $\beta$ by orders of magnitude. For example, the improvement at the $-4$PN and $2$PN orders can be about $13$ and $3$ orders of magnitude (compared to the results from GW150914), respectively. Compared to future ground-based detectors, such as ET, TianQin is expected to be superior below the $-1$PN order, and for corrections above the $-0.5$PN order, TianQin is still competitive near the large mass end of the low mass range $[10{\mathrm{M}}_{\odot },10^3{\mathrm{M}}_{\odot }]$. Compared to the future space-based detector LISA, TianQin can be competitive in the lower mass end as the PN order is increased. For example, at the $-4$PN order, LISA is always superior for sources more massive than about $30{\mathrm{M}}_{\odot }$, while at the $2$PN order, TianQin becomes competitive for sources less massive than about $10^4{\mathrm{M}}_{\odot }$. We also study the scientific potentials of detector networks involving TianQin, LISA and ET, and discuss the constraints on specific theories such as the dynamic Chern-Simons theory and the Einstein-dilaton Gauss-Bonnet theory.

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• Gravitational Wave Astronomy With TianQin
• Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
• Detecting Strong Gravitational Lensing of Gravitational Waves with TianQin
• Constraining the EdGB Theory with Extreme Mass-Ratio Inspirals
• Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
• Distinguish the environmental effects and modified theory of gravity with multiple massive black-hole binaries
• Fundamental Physics and Cosmology with TianQin
• Probing the Spin-Induced Quadrupole Moment of Massive Black Holes with the Inspiral of Binary Black Holes
• Dealing with data gaps for TianQin with massive black hole binary signal
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• Dynamics and gravitational radiation of binaries with spin precession and eccentricity in dynamical Chern-Simons gravity
• Testing the Kerr nature with binary black hole inspirals
• Constraints and detection capabilities of GW polarizations with space-based detectors in different TDI combinations