Spherically symmetric solutions of light Galileon
| Autor: | Momeni, D., Houndjo, M. J. S., Güdekli, E., Rodrigues, M. E., Alvarenga, F. G., Myrzakulov, R. |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Int.J.Theor.Phys. 55 (2016) no.2, 1211-1221 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10773-015-2762-4 |
| Popis: | We have been studied the model of light Galileon with translational shift symmetry $\phi\to \phi+c$. The matter Lagrangian is presented in the form $\mathcal{L}_{\phi}= -\eta (\partial \phi)^2+\beta G^{\mu\nu}\partial_{\mu}\phi\partial_{\nu}\phi$. We have been addressed two issues: the first is that, we have been proven that, this type of Galileons belong to the modified matter-curvature models of gravity in type of $f(R,R^{\mu\nu}T_{\mu\nu}^m)$. Secondly, we have been investigated exact solution for spherically symmetric geometries in this model. We have been found an exact solution with singularity at $r=0$ in null coordinates. We have been proven that the solution has also a non-divergence current vector norm. This solution can be considered as an special solution which has been investigated in literature before, in which the Galileon's field is non-static (time dependence). Our scalar-shift symmetrized Galileon has the simple form of $\phi=t$, which it is remembered by us dilaton field. Comment: Accepted in "International Journal of Theoretical Physics" |
| Databáze: | arXiv |
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