A useful guide for gravitational wave observers to test modified gravity models

Abstract

We present an extension of a previously suggested test of all modified theories of gravity that would reproduce MOND at low accelerations. In a class of models, called "dark matter emulators", gravitational waves and other particles couple to different metrics. This leads to a detectable time lag between their detection at Earth from the same source. We calculate this time lag numerically for any event that occurs in our galaxy up to 400 kpc, and present a graph of this possible time lag. This suggests that, gravitational wave observers might have to consider the possibility of extending their analysis to non-coincident gravitational and electromagnetic signals, and the graph that we present might be a useful guideline for this effort.

5 pages, 2 figures, 2 tables, A New section is added and some equations were removed to avoid repetition

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Cited by in corpus (14)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• GW170817 Falsifies Dark Matter Emulators
• Implementation and testing of the first prompt search for gravitational wave transients with electromagnetic counterparts
• Measuring the speed of cosmological gravitational waves
• Neutron Star Mergers and How to Study Them
• Constraints on frequency-dependent violations of Shapiro delay from GW150914
• Measuring Speed of Gravitational Waves by Observations of Photons and Neutrinos from Compact Binary Mergers and Supernovae
• Constraining Relativistic Generalizations of Modified Newtonian Dynamics with Gravitational Waves
• Nonlocal Metric Realizations of MOND
• Shortcomings of Shapiro delay-based tests of the equivalence principle on cosmological scales
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• The Galactic One-Way Shapiro Delay to PSR B1937+21
• Constraints on differential Shapiro delay between neutrinos and photons from IceCube-170922A
• Propagation of gravitational waves in multimetric gravity