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 ( epsilon g super( mu [nu]) + [eta]G super( mu [nu]))[varphi] , sub( mu )[varphi],...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-12, Vol.90 (12), Article 124025
Main Authors: Korolev, R. V., Sushkov, S. V.
Format: Article
Language:English
Subjects:
Cosmology
Curvature
Gravitation
Joining
Mathematical analysis
Singularities
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 ( epsilon g super( mu [nu]) + [eta]G super( mu [nu]))[varphi] , sub( mu )[varphi], sub([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 epsilon = -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:1550-7998
1550-2368
DOI:10.1103/PhysRevD.90.124025