Vaidya Solution in General Covariant Hořava-Lifshitz Gravity with the Minimum Coupling and without Projectability: Infrared Limit

Abstract

In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of {the} Hořava-Lifshitz gravity with the minimum coupling, in the post-newtonian approximation (PPN), without the projectability condition and in the infrared limit. The Newtonian prepotential $φ$ was assumed null. We have shown that there is not the analogue of the Vaidya's solution in the Hořava-Lifshitz Theory (HLT) with the minimum coupling, as we know in the General Relativity Theory (GRT).

11 pages. Accepted for publication in IJMPD