Abstract
Abstract The direct detection of gravitational waves now provides a new channel for testing gravity theories. Despite that the parametrized post-Einsteinian framework is a powerful tool to quantitatively investigate the effects of modifications to gravity theory, the gravitational waveform in this framework is still extendable. One such extension is to take into account the gradual activation of dipole radiation due to massive fields, which are still only very weakly constrained if their mass $m$ is greater than $10^{-16}$$\,$eV from pulsar observations. Ground-based gravitational-wave detectors (LIGO, Virgo, and KAGRA) are sensitive to this activation in the mass range $10^{-14}$$\,$eV $\lesssim m \lesssim 10^{-13}$$\,$eV. Hence, we discuss a dedicated test for dipole radiation due to a massive field using the LIGO/Virgo collaboration’s open data. In addition, assuming Einstein dilaton Gauss Bonnet (EdGB) type coupling, we combine the results of the analysis of binary black hole events to obtain 90% confidence level constraints on the coupling parameter $\alpha_{\rm EdGB}$ as $\sqrt{\alpha_{\rm EdGB}} \lesssim 2.47$$\,$km for any mass less than $6 \times 10^{-14}$$\,$eV for the first time, including $\sqrt{\alpha_{\rm EdGB}} \lesssim 1.85$$\,$km in the massless limit.
Highlights
The opening of gravitational wave (GW) astronomy/astrophysics allows us to approach a new test of general relativity (GR) in strong gravity regime
The frequency domain (FD) parametrized post-Einsteinian (ppE) waveform for the inspiral phase of compact binaries is expressed as h(f ) = hGR(1 + αua)eiδΨ, where hGR is the waveform in GR and its phase is given by
We integrate it with respect to A for each m to evaluate 90% confidence level (CL) constraints
Summary
The opening of gravitational wave (GW) astronomy/astrophysics allows us to approach a new test of general relativity (GR) in strong gravity regime. A possible test is the one in the parametrized post-Einsteinian (ppE) framework, in which the so-called ppE parameters are introduced to describe modifications of gravity theory in a generic way [9,10,11,12,13], a waveform in this framework does not cover the whole viable extensions of gravity One of such extensions is to consider a massive field which is coupled to a compact object through an additional charge exciting dipole radiation in the c The Author(s) 2012. Possible constraints on hidden sectors, such as scalar-tensor gravity or dark matter, which induce a Yukawa-type modification to the gravitational potential are discussed by several authors for future NS binary merger observations [27, 28] Such activation of dipole radiation in vacuum spacetimes, i.e., in the case of binary BHs has not been discussed.
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