Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability

Details Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability

2010-08-19

arxiv.org/abs/1008.3376v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure

Scientific paper

We construct thin-shell electrically charged wormholes in d-dimensional general relativity with a cosmological constant. The wormholes constructed can have different throat geometries, namely, spherical, planar and hyperbolic. Unlike the spherical geometry, the planar and hyperbolic geometries allow for different topologies and in addition can be interpreted as higher-dimensional domain walls or branes connecting two universes. In the construction we use the cut-and-paste procedure by joining together two identical vacuum spacetime solutions. Properties such as the null energy condition and geodesics are studied. A linear stability analysis around the static solutions is carried out. A general result for stability is obtained from which previous results are recovered.

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