AdS Wormholes from AdS/Ricci-flat Correspondence

Abstract

We discuss the Wormholes in general dimensions by studying the Einstein-phantom scalar field with and without the cosmological constant. Solving AdS wormholes in general dimension is hard due to the nonlinear nature of the theory. In this work, we implement the AdS/Ricci-flat correspondence, extended to include the axion field (the phantom scalar field), to construct AdS wormholes. Wormholes of Ellis-Bronnikov class are discussed in general dimensions.

Corrected some typos in the Appendix in previous version

References in corpus (5)

• Traversable wormholes: Some simple examples
• AdS Euclidean wormholes
• AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
• Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory
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