Abstract
We construct traversable wormholes with anti-de Sitter asymptotics supported by a phantom field. These wormholes are massless and symmetric with respect to reflection of the radial coordinate eta rightarrow - eta . Their circumferential radius decreases monotonically from radial infinity to their single throat. Analogous to their asymptotically flat counterparts, these anti-de Sitter wormholes possess an unstable radial mode.
Highlights
Wormholes represent intriguing solutions of the gravitational field equations that feature a minimal surface which is known as their throat, connecting distant regions in the universe
We investigate the properties of these wormholes and explore how the anti-de Sitter (AdS) asymptotics affects the stability of the solutions
We have numerically constructed the globally regular solutions of static Ellis wormholes with AdS asymptotics
Summary
Wormholes represent intriguing solutions of the gravitational field equations that feature a minimal surface which is known as their throat, connecting distant regions in the universe. The static asymptotically flat Ellis wormholes [5,6,7] represent the classic example of traversable wormholes. The presence of a phantom field is not mandatory to obtain traversable wormholes Numerous such wormholes have been obtained in alternative theories of gravity, when the energy conditions have been violated in the gravitational sector (see, e.g., [35,36,37,38,39,40,41,42,43,44,45]).
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