Chern-Simons modification of general relativity

By R. Jackiw, S. Pi. 2003

595 citations recorded by the source corpus.

General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate v_\mu -- an external quantity, which we fix to be a non-vanishing 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/enchanced by the extension.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c0f2ade8ba920ec8d7ba8960832aa5b4ab79c3d5

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Citations in the corpus

Bouncing cosmology in f(Q) symmetric teleparallel gravity (2020, background): “[18, 24–35] for other modified and extended theories of gravity).”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, unknown): “This is the case of Einstein-dilaton-Gauss-Bonnet (Sotiriou and Zhou, 2014) and dynamical Chern-Simons gravity (Jackiw and Pi, 2003), archetypical examples of theories studied in numerical relativity (Benkel et al.”
Holographic gravitational anomaly and chiral vortical effect (2011, background): “7) Gravity in four dimensions augmented by a similar term with a scalar field instead of a vector field has attracted much interest recently [60] (see also the review [61]).”
The Lovelock Black Holes (2008, unknown): “Another example of a modified theory that admits Schwarzschild metric as a solution is the Jackiw-Pi theory [6].”
Modern Tests of Lorentz Invariance (2005, unknown): “There are exceptions, for example see [151].”
Einstein-Aether theory (2004, unknown): “T æther ab = − c13 + 3c2 2 [ Gab − 1 6 ((3))R(gab + 2uaub) ]”