Direct detection of gravitational waves can measure the time variation of the Planck mass

Abstract

The recent discovery of a $\gamma$-ray counterpart to a gravitational wave event has put extremely stringent constraints on the speed of gravitational waves at the present epoch. In turn, these constraints place strong theoretical pressure on potential modifications of gravity, essentially allowing only a conformally-coupled scalar to be active in the present Universe. In this paper, we show that direct detection of gravitational waves from optically identified sources can also measure or constrain the strength of the conformal coupling in scalar--tensor models through the time variation of the Planck mass. As a first rough estimate, we find that the LISA satellite can measure the dimensionless time variation of the Planck mass (the so-called parameter ${\alpha }_M$) at redshift around 1.5 with an error of about 0.03 to 0.13, depending on the assumptions concerning future observations. Stronger constraints can be achieved once reliable distance indicators at $z>2$ are developed, or with GW detectors that extend the capabilities of LISA, like the proposed Big Bang Observer. We emphasize that, just like the constraints on the gravitational speed, the bound on ${\alpha }_M$ is independent of the cosmological model.

4 pages, 1 figure. v2: Minor clarifications in the text, new references added. Version published in JCAP

References in corpus (18)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Healthy theories beyond Horndeski
• Imperfect Dark Energy from Kinetic Gravity Braiding
• G-inflation: inflation driven by the Galileon field
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Large Scale Structure as a Probe of Gravitational Slip
• Type Ia Supernova Distances at z > 1.5 from the Hubble Space Telescope Multi-Cycle Treasury Programs: The Early Expansion Rate
• Anisotropic stress as signature of non-standard propagation of gravitational waves
• The gravitational-wave luminosity distance in modified gravity theories
• Generalized framework for testing gravity with gravitational-wave propagation. II. Constraints on Horndeski theory
• The fate of large-scale structure in modified gravity after GW170817 and GRB170817A
• Cosmology of the proxy theory to massive gravity
• A general theory of linear cosmological perturbations: stability conditions, the quasistatic limit and dynamics
• Friction in Gravitational Waves: a test for early-time modified gravity

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