On the z=4 Horava-Lifshitz Gravity
Rong-Gen Cai, Yan Liu, Ya-Wen Sun
TL;DR
This paper explores black hole solutions and cosmological equations in z=4 Horava-Lifshitz gravity, extending the theory in 3+1 and 4+1 dimensions and analyzing their thermodynamics and cosmology.
Contribution
It introduces new black hole solutions in z=4 Horava-Lifshitz gravity derived from massive gravity models and examines their thermodynamic and cosmological properties.
Findings
Black hole solutions in IR region for z=4 Horava-Lifshitz gravity.
Thermodynamic analysis of these black holes.
Friedmann equation formulation for cosmological solutions.
Abstract
We consider z=4 Horava-Lifshitz gravity in both 3+1 and 4+1 dimensions. We find black hole solutions in the IR region for a kind of z=4 Horava-Lifshitz gravity which is inherited from the new massive gravity in three dimensions and an analog of the new massive gravity in four dimensions through the quantum inheritance principle. We analyze thermodynamic properties for the black hole solutions for z=4 Horava-Lifshitz gravity. We also write out the Friedmann equation in 3+1 dimensions for cosmological solutions.
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