不具有可投射性的一般协变Hořava-Lifshitz引力中的Vaidya解:红外极限
Vaidya Solutions in General Covariant Hořava-Lifshitz Gravity without Projectability: Infrared Limit
摘要:
本文研究了在无可投射条件和红外极限下的Hoenava-Lifshitz引力的一般协变理论($U(1)$推广)中的非定常辐射球对称时空。假设牛顿预势$φ$为零。我们证明了在HLT理论中不存在Vaidya解的类似物,而在广义相对论理论中则是如此。因此,我们得出结论,规范场$A$应该与Vaidya时空的零辐射场在HLT中相互作用。
英文摘要:
In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of Hořava-Lifshitz gravity 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), 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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