Hořava gravity at a Lifshitz point: A progress report
Abstract
Hořava’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, Hořava 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 Hořava gravity. In particular, we first present four so far most-studied versions of Hořava 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.
- Publication:
-
International Journal of Modern Physics D
- Pub Date:
- 2017
- DOI:
- 10.1142/S0218271817300142
- arXiv:
- arXiv:1701.06087
- Bibcode:
- 2017IJMPD..2630014W
- Keywords:
-
- Quantum gravity;
- universal horizons;
- Hawking radiation;
- nonrelativistic gauge/gravity duality;
- 04.60.-m;
- 04.70.-s;
- 97.60.Lf;
- 98.80.-k;
- Quantum gravity;
- Physics of black holes;
- Black holes;
- Cosmology;
- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- revtex4, three figures. Corrected various typos. Int. J. Mod. Phys. D26 (2017) 1730014