Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 26, Issue 7, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271817300142
Keywords
Quantum gravity; universal horizons; Hawking radiation; nonrelativistic gauge/gravity duality
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Funding
- Ciencia Sem Fronteiras [A045/2013]
- CAPES, Brazil
- Chinese NSF [11375153, 11173021]
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Horava's quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been facing in quantization of general relativity since the middle of 1970's, Horava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultra-high energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent development of Horava gravity. In particular, we first present four so far most-studied versions of Horava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent development of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics, (ii) nonrelativistic gauge/gravity duality and (iii) quantization of the theory. The studies in these areas can be easily generalized to other gravitational theories with broken Lorentz invariance.
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