Shear-free Dust Solution in General Covariant Ho\v{r}ava-Lifshitz Gravity
| Autor: | M. F. A. da Silva, O. Goldoni, R. Chan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Physics
Dust solution Physics and Astronomy (miscellaneous) Spacetime 010308 nuclear & particles physics 01 natural sciences Spherically symmetric spacetime General Relativity and Quantum Cosmology Singularity Shear (geology) 0103 physical sciences Gravitational collapse Newtonian fluid Covariant transformation 010306 general physics Mathematical physics |
| Popis: | In this paper, we have studied non stationary dust spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of the Ho\v{r}ava-Lifshitz gravity with the minimally coupling and non-minimum coupling with matter, in the post-newtonian approximation (PPN) in the infrared limit. The Newtonian prepotential $\varphi$ was assumed null. The aim of this work is to know if we can have the same spacetime, as we know in the General Relativity Theory (GRT), in Ho\v{r}ava-Lifshitz Theory (HLT) in this limit. We have shown that there is not an analogy of the dust solution in HLT with the minimally coupling, as in GRT. Using non-minimum coupling with matter, we have shown that the solution admits a process of gravitational collapse, leaving a singularity at the end. This solution has, qualitatively, the same temporal behaviour as the dust collapse in GRT. However, we have also found a second possible solution, representing a bounce behavior that is not found in GRT. Comment: 12 pages and 1 figure. arXiv admin note: substantial text overlap with arXiv:1412.5045. Accepted for publication in Gen. Rel. Grav |
| Databáze: | OpenAIRE |
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