Scalar wormholes in a cosmological setting and their instability
- Department of General Relativity and Gravitation, Kazan State University, Kremlevskaya str. 18, Kazan 420008 (Russian Federation) and Department of Mathematics, Tatar State University of Humanities and Education, Tatarstan str. 2, Kazan 420021 (Russian Federation)
We construct exact nonstatic nonhomogeneous spherically symmetric solutions in the theory of gravity with a scalar field possessing the exponential potential. The solution of particular interest corresponds to the scalar field with negative kinetic energy, i.e. a ghost, and represents two asymptotically homogeneous spatially flat universes connected by a throat. We interpret this solution as a wormhole in the cosmological setting. Both the universes and the wormhole throat are simultaneously expanding with acceleration. The character of expansion qualitatively depends on the wormhole's mass m. For m=0 the expansion goes exponentially, so that the corresponding spacetime configuration represents two de Sitter universes joining by the throat. For m>0 the expansion has the power character, so that one has the inflating wormhole connecting two homogeneous spatially flat universes expanding according to the power law into the final singularity. The stability analysis of the nonstatic wormholes reveals their instability against linear spherically symmetric perturbations.
- OSTI ID:
- 21038931
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevD.77.024042; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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