Constraints on Brans-Dicke gravity from neutron star-black hole merger events using higher harmonics

Abstract

In this paper, we derive a 90\% credible lower bound on the modified parameter of scalar-tensor theories as ${\phi }_{-2}>-7.94\times 10^{-4}$ by using dominant-mode correction. Specific to BD theory, we have the constraint ${\omega }_{\mathrm{BD}}>4.75$. Asymmetric binary systems usually have a significant mass ratio; in such cases, higher harmonic modes cannot be neglected. Our work considers higher harmonic corrections from scalar-tensor theories and provides a tighter constraint of ${\phi }_{-2}>-7.59\times 10^{-4}$. Transitioning to the BD theory, the constraint is ${\omega }_{\mathrm{BD}}>5.06$, with a 6.5\% improvement. We also consider a plausible NSBH event, GW190814, which is a highly unequal mass ratio source and exhibits strong evidence for higher-order multipoles. We obtain poorly converged results when using the dominant mode while getting a constraint of ${\phi }_{-2}>-6.60\times 10^{-4}$ on scalar-tensor theories when including the higher harmonic modes. This suggests that the difference between the dominant mode and higher modes has a significant impact on our analysis. Furthermore, treating this suspected event as an NSBH event, we find ${\omega }_{\mathrm{BD}}>6.12$ when including the higher harmonic modes. Combining GW200115 and GW190814 and including higher modes, the constraint is improved to ${\omega }_{\mathrm{BD}}>110.55$. This is currently the strongest constraint utilizing GWs, contingent upon GW190814 being an NSBH event. Additionally, we take into account a BD-like theory, known as screened modified gravity (SMG), and investigate the coupling constant constraints, both with and without higher-mode corrections, by using data from both GW200115 and GW190814.

8 pages, 2 figures, 2 tables

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Cited by in corpus (5)

• Forecast Analysis of Astrophysical Stochastic Gravitational Wave Background beyond general relativity: A Case Study on Brans-Dicke Gravity
• Testing modified gravity with the eccentric neutron star--black hole merger GW200105
• Constraining scalar-tensor theories from higher harmonics with GW230529
• Gravitational-wave constraints on noncommutative spacetime from GW190814
• Constraining Scalar Charge in Neutron Stars through Gravitational Wave Signals from NSBH Mergers