Year: 2012
Type: article
Abstract: We consider static spherically symmetric wormhole configurations in a gravitational theory of a scalar field with a potential V (ϕ) and nonminimal derivative coupling to the curvature described by the term (ε g μν + κ G μν )ϕ , μ ϕ , ν in the action. We show that the flare-out conditions providing the geometry of a wormhole throat could be fulfilled both if = −1 (phantom scalar) and = +1 (ordinary scalar). Supposing additionally a traversability, we construct numerical solutions describing traversable wormholes in the model with arbitrary κ, = −1 and V (ϕ) = 0 (no potential). The traversability assumes that the wormhole possesses two asymptotically flat regions with corresponding Schwarzschild masses. We find that asymptotical masses of a wormhole with nonminimal derivative coupling could be positive and/or negative depending on κ. In particular, both masses are positive only provided κ < κ 1 ⩽ 0; otherwise, one or both wormhole masses are negative. In conclusion, we give qualitative arguments that a wormhole configuration with positive masses could be stable.
Source: Classical and Quantum Gravity
Authors: Sergey V Sushkov, Roman Korolev
Institutions: Kazan Federal University, California State University, Fresno
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Award: G6811759816
OpenAlex ID: W2081702205