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  • Letter

Nonlinear curvature effects in gravitational waves from inspiralling black hole binaries

Banafsheh Shiralilou1,2,*, Tanja Hinderer1,3, Samaya M. Nissanke1,2, Néstor Ortiz4, and Helvi Witek5

  • 1GRAPPA, Anton Pannekoek Institute for Astronomy and Institute of High-Energy Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
  • 2Nikhef, Science Park 105, 1098 XG Amsterdam, Netherlands
  • 3Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, Netherlands
  • 4Instituto de Ciencias Nucleares (ICN), Universidad Nacional Autónoma de México (UNAM), Circuito Exterior C.U., A.P. 70-543, México D.F. 04510, México
  • 5Illinois Center for Advanced Studies of the Universe and Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA

  • *b.shiralilou@uva.nl

Phys. Rev. D 103, L121503 – Published 21 June, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L121503

Abstract

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of general relativity. We concentrate on scalar Gauss-Bonnet gravity, one of the most compelling classes of theories appearing as the low-energy limit of quantum gravity paradigms, which introduces quadratic curvature corrections to gravity coupled to a scalar field and allows for black hole solutions with scalar charge. Focusing on inspiraling black hole binaries, we compute the leading-order corrections due to curvature nonlinearities in the GW and scalar waveforms, showing that the new contributions, beyond merely the effect of scalar field, appear at first post-Newtonian order in GWs. We provide ready-to-implement GW polarizations and phasing. Computing the GW phasing in the Fourier domain, we perform a parameter-space study to quantify the detectability of deviations from general relativity. Our results lay important foundations for future precision tests of gravity with both parametrized and theory-specific searches.

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