2017
DOI: 10.1088/1361-6382/aa8b52
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Gravitational wave memory in ΛCDM cosmology

Abstract: We examine gravitational wave memory in the case where sources and detector are in a ΛCDM cosmology. We consider the case where the universe can be highly inhomogeneous, but the gravitatational radiation is treated in the short wavelength approximation. We find results very similar to those of gravitational wave memory in an asymptotically flat spacetime; however, the overall magnitude of the memory effect is enhanced by a redshift-dependent factor. In addition, we find the memory can be affected by lensing.

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Cited by 52 publications
(49 citation statements)
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“…short wavelength) approximation, as done by Thorne [23]. This issue will be covered in depth elsewhere [24].…”
Section: Discussionmentioning
confidence: 99%
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“…short wavelength) approximation, as done by Thorne [23]. This issue will be covered in depth elsewhere [24].…”
Section: Discussionmentioning
confidence: 99%
“…In particular, in [24] we use the geometric optics approximation to extend our treatment of cosmological memory to the case with both dust and a cosmological constant. As shown by Hawking [25] the inclusion of dust leads to a set of coupled equations involving the Weyl tensor and the shear of the fluid.…”
Section: Discussionmentioning
confidence: 99%
“…Recent work has also shown that there is a redshift enhancement in memory at cosmological distances, which will become relevant for future detectors [32,33]. Other theoretical work has shown the links between the memory effect, soft gravitons, and asymptotic symmetries in general relativity, which has implications for the black hole information paradox [34][35][36].…”
Section: Introductionmentioning
confidence: 95%
“…Here is where the two relations (12) and (13) play a crucial role. First using (13) in (15) where the leading order curvature term is A, and integrating once, second using (12) to substitute the shear terms and integrate again, and finally taking the limit as u → ∞, we obtain an equation of the form (omitting indices)…”
Section: 2mentioning
confidence: 99%
“…As the purpose of the present article does not allow us to delve deeper into the history of the mathematical crescendo of the first half of the 20th century, we refer to Y. Choquet-Bruhat's paper [20] for a more detailed discussion of the mathematical progress in GR in these years, whereas the historical facts will be described in her forthcoming autobiography. See also [12] for a discussion of the Cauchy problem in view of gravitational waves. Whereas many of the initial problems in GR have been solved, other hurdles have remained tough nuts to crack and bear challenges for future mathematical research.…”
mentioning
confidence: 99%