The Black Hole and Cosmological Solutions in IR modified Horava Gravity

TL;DR

This paper explores modifications to Horava gravity that allow for black hole and cosmological solutions with various asymptotic behaviors, including flat, de Sitter, and anti-de Sitter, and discusses their thermodynamics and implications for dark energy.

Contribution

It introduces an IR modification to Horava gravity that breaks detailed balance, enabling asymptotically flat solutions and broadening the scope of black hole and cosmological solutions.

Findings

Derived black hole solutions analogous to Schwarzschild-(A)dS

Obtained cosmological solutions consistent with current dark energy observations

Discussed thermodynamical properties of the solutions

Abstract

Recently Horava proposed a renormalizable gravity theory in four dimensions which reduces to Einstein gravity with a non-vanishing cosmological constant in IR but with improved UV behaviors. Here, I study an IR modification which breaks "softly" the detailed balance condition in Horava model and allows the asymptotically flat limit as well. I obtain the black hole and cosmological solutions for "arbitrary" cosmological constant that represent the analogs of the standard Schwartzschild-(A)dS solutions which can be asymptotically (A)dS as well as flat and I discuss some thermodynamical properties. I also obtain solutions for FRW metric with an arbitrary cosmological constant. I study its implication to the dark energy and find that it seems to be consistent with current observational data.