Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity

TL;DR

This paper explores how Horava-Lifshitz gravity can produce surplus solid angles around point charges, leading to observable astrophysical effects like star image shifts, and provides exact solutions for various matter configurations.

Contribution

It introduces exact solutions showing surplus solid angles in Horava-Lifshitz gravity, a phenomenon rarely seen in general relativity, and links these to potential astrophysical observations.

Findings

Surplus angles can naturally occur in Horava-Lifshitz gravity.

Star images can suddenly disappear and reappear due to surplus angles.

Exact solutions for different matter configurations are derived.

Abstract

We consider the electrostatic field of a point charge coupled to Horava-Lifshitz gravity and find an exact solution describing the space with a surplus (or deficit) solid angle. Although, theoretically in general relativity, a surplus angle is hardly to be obtained in the presence of ordinary matter with positive energy distribution, it seems natural in Horava-Lifshitz gravity. We present the sudden disappearance and reappearance of a star image as an astrophysical effect of a surplus angle. We also consider matter configurations of all possible power law behaviors coupled to Horava-Lifshitz gravity and obtain a series of exact solutions.