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Light scalar field constraints from gravitational-wave observations of compact binaries

Emanuele Berti1,2,*, Leonardo Gualtieri3,†, Michael Horbatsch4,‡, and Justin Alsing5,§

  • 1Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677, USA
  • 2California Institute of Technology, Pasadena, California 91109, USA
  • 3Dipartimento di Fisica, Università di Roma “Sapienza” & Sezione, INFN Roma1, P.A. Moro 5, 00185, Roma, Italy
  • 4Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4L8
  • 5Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH, United Kingdom

  • *berti@phy.olemiss.edu
  • Leonardo.Gualtieri@roma1.infn.it
  • horbatm@univmail.cis.mcmaster.ca
  • §justin.alsing@seh.ox.ac.uk

Phys. Rev. D 85, 122005 – Published 19 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.122005

Abstract

Scalar-tensor theories are among the simplest extensions of general relativity. In theories with light scalars, deviations from Einstein’s theory of gravity are determined by the scalar mass ms and by a Brans-Dicke-like coupling parameter ωBD. We show that gravitational-wave observations of nonspinning neutron star-black hole binary inspirals can be used to set lower bounds on ωBD and upper bounds on the combination ms/ωBD. We estimate via a Fisher matrix analysis that individual observations with signal-to-noise ratio ρ would yield (ms/ωBD)(ρ/10)1015, 1016, and 1019eV for Advanced LIGO, ET, and eLISA, respectively. A statistical combination of multiple observations may further improve these bounds.

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