Journal
PHYSICAL REVIEW D
Volume 85, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.85.024041
Keywords
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Funding
- NSF [PHY-1114374]
- National Aeronautics and Space Administration through the Einstein Postdoctoral program, issued by the Chandra X-ray Observatory Center
- National Aeronautics Space Administration [NAS8-03060]
- NASA [NNX11AI49G, 00001944]
- National Science Foundation [PHY 09-65133]
- Division Of Physics
- Direct For Mathematical & Physical Scien [0965133] Funding Source: National Science Foundation
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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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