Einstein-aether theory admits an elliptic charge arising from a symmetry of the reduced action that explains the misalignment contribution to the first law for asymptotically AdS universal horizons.
Extended Horava gravity and Einstein-aether theory
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abstract
Einstein-aether theory is general relativity coupled to a dynamical, unit timelike vector. If this vector is restricted in the action to be hypersurface orthogonal, the theory is identical to the IR limit of the extension of Horava gravity proposed by Blas, Pujol\`{a}s and Sibiryakov. Hypersurface orthogonal solutions of Einstein-aether theory are solutions to the IR limit of this theory, hence numerous results already obtained for Einstein-aether theory carry over.
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A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
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Einstein-aether Elliptic Charges and the First Law of Asymptotically AdS Black Holes
Einstein-aether theory admits an elliptic charge arising from a symmetry of the reduced action that explains the misalignment contribution to the first law for asymptotically AdS universal horizons.
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Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.