Exact wormhole solutions with nonminimal kinetic coupling

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...

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Korolev, R V, Sushkov, Sergey V
Format: Article
Language:English
Subjects:
Coupling
Curvature
Equations of motion
Exact solutions
Mathematical analysis
Tensors
Throats
Wormholes
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1408.1235