Global monopole solutions in Horava gravity

TL;DR

This paper derives static, spherically symmetric solutions in Horava gravity coupled with a global monopole, revealing explicit solutions with deficit angles at specific parameter values, and exploring potential astrophysical implications.

Contribution

It provides explicit global monopole solutions in Horava gravity for various parameter values, including IR and conformal points, and discusses their astrophysical relevance.

Findings

Solutions with deficit angles at IR fixed point and conformal point

Special solutions for 1 > λ > 0, including λ=1/2 with finite deficit angle

Potential astrophysical applications of the λ=1/2 solution

Abstract

In Horava's theory of gravity coupled to a global monopole source, we seek for static, spherically symmetric spacetime solutions for general values of $\lambda$. We obtain the explicit solutions with deficit solid angles, in the IR modified Horava gravity model, at the IR fixed point $\lambda=1$ and at the conformal point $\lambda=1/3$. For the other values of $1>\lambda>0$ we also find special solutions to the inhomogenous equation of the gravity model with detailed balance, and we discuss an possibility of astrophysical applications of the $\lambda=1/2$ solution that has a deficit angle for a finite range.