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arXiv · 1401.4115

Vaidya Solutions in General Covariant Ho\v{r}ava-Lifshitz Gravity without Projectability: Infrared Limit

O. Goldoni·M. F. A. da Silva·G. Pinheiro·R. Chan
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Abstract

In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of Ho\v{r}ava-Lifshitz gravity without the projectability condition and in the infrared limit. The Newtonian prepotential $\varphi$ was assumed null. We have shown that there is not the analogue of the Vaidya's solution in the Ho\v{r}ava-Lifshitz Theory (HLT), as we know in the General Relativity Theory (GRT). Therefore, we conclude that the gauge field $A$ should interact with the null radiation field of the Vaidya's spacetime in the HLT.

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O. Goldoni, M. F. A. da Silva, G. Pinheiro, R. Chan. 2014-01-16. Vaidya Solutions in General Covariant Ho\v{r}ava-Lifshitz Gravity without Projectability: Infrared Limit. https://doi.org/10.1142/s0218271814500680

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