Cardy-Verlinde entropy in Hořava-Lifshitz gravity

Abstract

We investigate homogeneous cosmological models with perfect-fluid sources in the framework of the Hořava-Lifshitz model for quantum gravity. We show that the Hamiltonian constraint of such spacetimes can be rewritten as the Cardy formula for the entropy in conformal field theory. The Cardy entropy is shown to depend explicitly on the value of the Hořava parameter λ so that it can be interpreted as determining the entropy and the gravitational interaction of the theory. Moreover, we show that Verlinde's Pythagorean representation of the Hamiltonian constraint is also valid in the case of homogeneous Hořava-Lifshitz spacetimes. We interpret these results as a further indication of a deep relationship between gravity, thermodynamics and holography in the quantum regime.

Kinematic and statistical inconsistencies of Hořava–Lifshitz cosmology

“…Different formulations of Eq. ( 18) have been presented to heal the above caveats [30][31][32]. Once rewritten, the luminosity distance can be used to fit the SNe Ia data from Union 2.1.…”

Extended analysis for the evolution of the cosmological history in Einstein-aether scalar field theory

“…Hořava-Lifshitz is a renormalization theory with consistent ultra-violet behavior exhibiting an anisotropic Lifshitz scaling between time and space [7]. Hořava-Lifshitz theory has various applications in gravitational theories from cosmological studies until compact stars [8][9][10][11][12][13][14][15].…”