Extended Horava gravity and Einstein-aether theory

By T. Jacobson. 2010

204 citations recorded by the source corpus.

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, Pujolas 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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1. J. Hartong
2. Anzhong Wang
3. N. Obers
4. M. Zumalacárregui
5. J. Ezquiaga
6. D. Blas
7. O. Pujolàs
8. S. Sibiryakov

Citations in the corpus

• Hořava gravity at a Lifshitz point: A progress report (2017, methodology): “54), BPS used the results from the Einstein-aether theory, as these two theories coincide in the IR [150, 151].”
• Black holes in Einstein-aether and Hořava-Lifshitz gravity (2011, background): “This is because all spherically symmetric aether fields are hypersurface orthogonal and, hence, all spherically symmetric solutions of æ-theory will also be solutions of the IR limit of HL gravity [15].”
• Tests of Lorentz invariance: a 2013 update (2013, background): “Furthermore, over the last three decades, there were several attempts to formulate alternative theories of gravitation incorporating some form of Lorentz breaking, from early studies [68–72] to full-fledged theories such as the Einstein–Aether theory [73–75] and Hořava–Lifshitz (HL) gravity [76–78] ”
• Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics (2016, background): “If T is set equal to coordinate time, the resulting action is that of nonprojectable Hořava gravity [357, 443].”
• Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “Khronometric theories describe the low-energy limit of some extension of Hořavagravity, linking the two frameworks (Jacobson, 2010).”
• Models of non-relativistic quantum gravity: the good, the bad and the healthy (2010, methodology): “Any spherically symmetric configuration of aether is automatically hypersurface-orthogonal implying that any spherically symmetric solution of the Einstein-aether theory is a solution for the khrono-metric theories [ 35 ].”
• Lifshitz space–times for Schrödinger holography (2014, background): “Is that only true for Einstein gravity coupled to a bulk vector field? For example what would happen7 in the context of Horava–Lifshitz gravity/Einstein-aether theories [42,43]? The Schrödinger algebra has an infinite extension in the form of the Schödinger–Virasoro algebra, it would be interesting ”
• Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, methodology): “[38] there is also a type of covariantization of HL gravity (see also eq.”