Quantum gravity without Lorentz invariance

By T. Sotiriou, Matt Visser, S. Weinfurtner. 2009

308 citations recorded by the source corpus.

There has been a significant surge of interest in Hoyrava's model for 3+1 dimensional quantum gravity, this model being based on anisotropic scaling at a z = 3 Lifshitz point. Hoyrava's model, and its variants, show dramatically improved ultra- violet behaviour at the cost of exhibiting violation of Lorentz invariance at ultra- high momenta. Following up on our earlier note, Phys. Rev. Lett. 102 (2009) 251601 (arXiv:0904.4464 (hep-th)), we discuss in more detail our variant of Hoyrava's model. In contrast to Hoyrava's original model, we abandon "detailed balance" and restore parity invariance. We retain, however, Hoyrava's "projectability condition" and explore its implications. Under these conditions, we explicitly exhibit the most general model, and extract the full classical equations of motion in ADM form. We analyze both spin-2 and spin-0 graviton propagators around flat Minkowski space. We furthermore analyze the classical evolution of FLRW cosmologies in this model, demonstrating that the higher-derivative spatial curvature terms can be used to mimic radiation fluid and stiff matter. We conclude with some observations concerning future prospects. 17 May 2009; 20 May 2009; 29 June 2009; 2 Sept 2009; L A T E X-ed October 13, 2009.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/99c1f2b3f9e1d0da760b87bd55c999b8f624eee8

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Citations in the corpus

Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, unknown): “[38, 39, 40, 41, 42, 43, 44, 45].”
Quantum-Spacetime Phenomenology (2008, background): “The study of Planck-scale departures from Lorentz symmetry may find some encouragement in perspectives based on renormalization theory, at least in as much as it has been shown [79, 78, 289, 507] that some field theories modified by Lorentz-violating terms are actually rather well behaved in the UV.”
Modified Gravity and Cosmology (2011, background): “27Note that the full set of inequivalent terms up to dimension six has been presented for the projectable case in [1169, 1170].”
Hořava gravity at a Lifshitz point: A progress report (2017, background): “29) the coefficient in the front of R was set to −1, which can be realized by rescaling the time and space coordinates [92].”