Einstein-æther gravity: a status report

By T. Jacobson. 2008

291 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/328042a774c3a1865346afe756fef2ba34e81167

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Citations in the corpus

Accelerating Cosmologies with an Anisotropic Equation of State (2007, background): “This is a special case of a vector-tensor theory [56, 76] satisfying the following four conditions: 1) the Lagrangian density is a four-scalar 2) the free-field energies are positive for both the metric and the vector 3) the resulting theory is metric 4) there are no higher than second derivatives i”
Modified Gravity and Cosmology (2011, unknown): “In the Einstein-æther theory [655] violations of Lorentz invariance arise within the framework of a diffeomorphism-invariant theory, and their modern incarnations are a refinement of the gravitationally coupled vector field theories first proposed by Will and Nordtvedt in the 1970s [1276, 989].”
Vector field models of inflation and dark energy (2008, background): “The conceptual difference with the Aether [11] and such theories arises from the unit-norm requirement, which is achieved by adding a norm-fixing term into the Lagrangian that then forces the field to be always time-like, even in vacuum.”
Tests of Lorentz invariance: a 2013 update (2013, background): “Indeed, the PPN and gravitational Čerenkov constraints are all satisfied provided quite lose conditions on the model coefficients are satisfied [75, 120].”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “Another class of Lorentz-violating theories is Einstein-Aether, in which a vector field with constant norm introduces a preferred direction (Jacobson, 2007).”
Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions (2011, methodology): “Inspired by the fact that EinsteinAether theories [206, 207] also present instabilities when the unit-norm vector field is “Maxwellian” as above, it was simply proposed to use a more general Lagrangian density for the vector field, akin to that of Einstein-Aether theories:”