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Constraining Lorentz-violating, modified dispersion relations with gravitational waves

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Mirshekari, Saeed, Yunes, Nicolás, Will, Clifford M.·2012·Physical Review D

Abstract

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can reproduce a range of known Lorentz-violating predictions and investigate their impact on the propagation of gravitational waves. A modified dispersion relation forces different wavelengths of the gravitational-wave train to travel at slightly different velocities, leading to a modified phase evolution observed at a gravitational-wave detector. We show how such corrections map to the waveform observable and to the parametrized post-Einsteinian framework, proposed to model a range of deviations from General Relativity. Given a gravitational-wave detection, the lack of evidence for such corrections could then be used to place a constraint on Lorentz violation. The constraints we obtain are tightest for dispersion relations that scale with small power of the graviton's momentum and deteriorate for a steeper scaling.

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Metadata

Authors
Mirshekari, S., Yunes, N., & Will, C. M.
Venue
Physical Review D
Published
2012-01-25
Volume
85
Issue
2
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W2003219437
Cited by
224
References
8
FWCI
5.84
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Constraining Lorentz-violating, modified dispersion relations with gravitational waves. https://app.cochat.ai/papers/10.1103/physrevd.85.024041
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Mirshekari, S., Yunes, N., & Will, C. M. (2012). Constraining Lorentz-violating, modified dispersion relations with gravitational waves. Physical Review D. https://doi.org/10.1103/physrevd.85.024041

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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