Linearized Gravitational Waves in Nonlocal General Relativity

Abstract

We investigate gravitational radiation in the linear approximation within the framework of the recent nonlocal generalization of Einstein's theory of gravitation. In this theory, nonlocality can simulate dark matter; in fact, in the Newtonian regime, we recover the phenomenological Tohline-Kuhn approach to modified gravity. To account for the observational data regarding the rotation curves of spiral galaxies, nonlocality is associated with a characteristic length scale of order λ_0 = 10 kpc. It follows that in nonlocal gravity, the treatment of extremely low-frequency (~ 10^{-12} Hz) gravitational waves with wavelengths of order λ_0 would be quite different than in general relativity. However, for radiation of frequency > 10^{-8} Hz, which is the frequency range that is the focus of current observational searches, the corresponding wavelengths are very small compared to λ_0. We find that in this frequency regime the nonlocal deviations from general relativity essentially average out and can be safely neglected in practice.

30 pages, 1 figure; v2: slightly expanded and improved version

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Cited by in corpus (11)

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• Gravitational wave constraints on dark sector models
• Non-local (but also non-singular) physics at the last stages of gravitational collapse
• Nonlocal Teleparallel Cosmology
• Nonlocal Gravity: The General Linear Approximation
• The gravitational energy-momentum pseudo-tensor of Higher-Order Theories of Gravity
• Nonlocal Gravity: Damping of Linearized Gravitational Waves
• Nonlocal Newtonian Cosmology
• Shadow and weak deflection angle of a black hole in nonlocal gravity
• Nonlocal General Relativity
• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity