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Chern-Simons modification of general relativity
Open accessAbstract
General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate ${v}_{\ensuremath{\mu}}$---an external quantity, which we fix to be a nonvanishing constant in its time component. The theory is identical to one in which the embedding coordinate is itself a dynamical variable, rather than a fixed, external quantity. Consequently diffeomorphism symmetry breaking is hidden in the modified theory: the Schwarzschild metric is a solution; gravitational waves possess two polarizations, each traveling at the velocity of light; a conserved energy-momentum (pseudo)tensor can be constructed. The modification is visible in the intensity of gravitational radiation: the two polarizations of a gravity wave carry intensities that are suppressed or enhanced by the extension.
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Cites
The Cotton tensor in Riemannian spacetimes
García, A. A., Hehl, F. W., Heinicke, C., & Macías, A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/4/024 · Cited by 148
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The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
Theory and Experiment in Gravitational Physics
Will, C. M. (2018) · doi:10.1017/9781316338612 · Cited by 3,637
Gravity, Lorentz violation, and the standard model
Kostelecký, V. A. (2004) · Physical Review D · doi:10.1103/physrevd.69.105009 · Cited by 1,368
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
Chern–Simons modified general relativity
Alexander, S., & Yunes, N. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.07.002 · Cited by 715
Metadata
- Authors
- Jackiw, R., & Pi, S.-Y.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-11-14
- Volume
- 68
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2161277108
- Cited by
- 758
- References
- 1
- FWCI
- 4.06
- Type
- journal article
- Language
- en
- Open access
- green
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