Ricci-Flat and Charged Wormholes in Five Dimensions

Abstract

We construct stationary Ricci-flat inter-universe Lorentzian wormhole solutions in all D\ge 5 dimensions that connect two flat asymptotic spacetimes. Such a solution can be viewed as the gravity dual of a string tachyon state whose linear momentum is larger than its tension. We focus our analysis on the D=5 wormholes which are not traversable for the timelike and null geodesics; however, we demonstrate that there exist accelerated timelike trajectories that traverse from one asymptotic region to the other. We further study the minimally-coupled scalar wave equation and demonstrate that the quantum tunnelling between two worlds must occur. We also obtain charged wormholes in five-dimensional supergravities. With appropriate choice of parameters, these wormholes connect AdS${}_3\times S^2$ in one asymptotic region to flat Minkowskian spacetime in the other.

Latex, 15 pages, reorganisation of sections, expanded discussion on accelerated time trajectories and on charged wormholes, references added

References in corpus (9)

• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Wormholes in AdS
• Higher-dimensional resolution of dilatonic black hole singularities
• Euclidean Wormholes in String Theory
• Generating Geodesic Flows and Supergravity Solutions
• Euclidean-signature Supergravities, Dualities and Instantons
• Non-Extremal D-instantons and the AdS/CFT Correspondence
• Wormholes in Maximal Supergravity
• Electrostatic solutions in Kaluza-Klein theory: geometry and stability

Cited by in corpus (14)

• Higher-dimensional evolving wormholes satisfying the null energy condition
• Charged wormholes in f(R,T) extended theory of gravity
• Vacuum static compactified wormholes in eight-dimensional Lovelock theory
• f(R) Gravities, Killing Spinor Equations, "BPS" Domain Walls and Cosmology
• Supersymmetric traversable wormholes
• Topological Origin of Holographic Principle: Application to wormholes
• Strings on AdS Wormholes
• Probing AdS Wormholes by Entanglement Entropy
• AdS Wormholes
• A Brief Review of Wormhole Cosmic Censorship
• GL(n,R) Wormholes and Waves in Diverse Dimensions
• On the existence of deformations and dimensional reduction in wormholes and black holes
• Most General Spherically Symmetric M2-branes and Type IIB Strings
• Extremal rotating BTZ black holes cannot be dressed in (anti-)self-dual Maxwell field