MG14 - Talk detail |
Participant |
Sushkov, Sergey | |||||||
Institution |
Kazan Federal University - Kremlyovskaya, 18 - Kazan - - Russia | |||||||
Session |
AT3 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Wormholes in the Theory of Gravity with Nonminimal Kinetic Coupling | |||||
Coauthors | ||||||||
Abstract |
We consider static spherically symmetric solutions in the scalar-tensor theory of gravity with a scalar field possessing the nonminimal kinetic coupling to the curvature. The lagrangian of the theory contains the term $(\varepsilon g^{\mu\nu}+\eta G^{\mu\nu})\phi_{,\mu}\phi_{,\nu}$ and represents a particular case of the general Horndeski lagrangian, which leads to second-order equations of motion. We use the Rinaldi approach to construct analytical solutions describing wormholes with nonminimal kinetic coupling. It is shown that wormholes exist only if $\varepsilon=-1$ (phantom case) and $\eta>0$. The wormhole throat connects two anti-de Sitter spacetimes. The wormhole metric has a coordinate singularity at the throat. However, since all curvature invariants are regular, there is no curvature singularity there. |
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Pdf file |
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Session |
AT3 |
Accepted |
|
Order |
Time |
|||
Talk |
Oral abstract |
Title |
Exact Wormhole Solutions with Nonminimal Kinetic Coupling | |||||
Coauthors | ||||||||
Abstract |
We consider static spherically symmetric solutions in the scalar-tensor theory of gravity with a scalar field possessing the nonminimal kinetic coupling to the curvature. The lagrangian of the theory contains the term $(\varepsilon g^{\mu\nu}+\eta G^{\mu\nu})\phi_{,\mu}\phi_{,\nu}$ and represents a particular case of the general Horndeski lagrangian, which leads to second-order equations of motion. We use the Rinaldi approach to construct analytical solutions describing wormholes with nonminimal kinetic coupling. It is shown that wormholes exist only if $\varepsilon=-1$ (phantom case) and $\eta>0$. The wormhole throat connects two anti-de Sitter spacetimes. The wormhole metric has a coordinate singularity at the throat. However, since all curvature invariants are regular, there is no curvature singularity there. |
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Pdf file |
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