Hořava–Lifshitz cosmology: a review

By S. Mukohyama. 2010

257 citations recorded by the source corpus.

Here we review the basic construction and cosmological implications of a power-counting renormalizable theory of gravitation, recently proposed by Hořava. We explain that (i) at low energy this theory does not exactly recover general relativity but instead mimics general relativity plus dark matter; (ii) higher spatial curvature terms allow bouncing and cyclic universes as regular solutions; (iii) the anisotropic scaling with the dynamical critical exponent z = 3 solves the horizon problem and leads to scale-invariant cosmological perturbations even without inflation. We also comment on issues related to an extra scalar degree of freedom called scalar graviton. In particular, for spherically-symmetric, static, vacuum configurations we prove non-perturbative continuity of the λ → 1 + 0 limit, where λ is a parameter in the kinetic action and general relativity has the value λ = 1. We also derive the condition under which linear instability of the scalar graviton does not show up.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/764491460d9e704618fdc83de3af40104d72d748

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Citations in the corpus

Modified Gravity and Cosmology (2011, background): “Here we have written R as the radius of the Sun, and au as the astronomical unit.”
Dynamical systems applied to cosmology: Dark energy and modified gravity (2017, methodology): “The cosmological applications of such theory have been reviewed by Mukohyama (2010), and have been analysed with dynamical systems techniques by Carloni et al. (2010), Leon & Saridakis (2009).”
Hořava gravity at a Lifshitz point: A progress report (2017, methodology): “Such an analysis was performed in [34] for spherically symmetric, static, vacuum configurations and was shown that the limit is continuously connected to GR.”