Self-Supporting Wormholes in Four Dimensions with Scalar Field

Abstract

In this paper, we investigated the space-time obtained by quotients of the $Ad{S}_4$ space-time. Further quotient with specific ${\mathbb{Z}}_2$ is considered. Taking up to the first-order perturbation in metric, we estimated the backreaction of the matter field on space-time geometry. We can calculate the stress-energy tensor's expected value by pulling it back onto the covering space. The average null energy becomes negative when the suitable boundary condition is chosen, resulting in a traversable wormhole.

References in corpus (27)

• The Black Hole in Three Dimensional Space Time
• Eternal Black Holes in AdS
• Cool horizons for entangled black holes
• Traversable wormholes with arbitrarily small energy condition violations
• Traversable Wormholes via a Double Trace Deformation
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Topological Censorship and Higher Genus Black Holes
• Black Holes and Wormholes in 2+1 Dimensions
• Achronal averaged null energy condition
• Anti-de Sitter space and black holes
• Single-exterior black holes and the AdS-CFT conjecture
• Proving the Achronal Averaged Null Energy Condition from the Generalized Second Law
• A Note on Hartle-Hawking Vacua
• A perturbative perspective on self-supporting wormholes
• A holographic proof of the averaged null energy condition
• Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes
• Rotating traversable wormholes in AdS
• Ellis wormhole without a phantom scalar field
• Behind the geon horizon
• Wormholes in Einstein-scalar-Gauss-Bonnet theories with a scalar self-interaction potential
• Simple Perturbatively Traversable Wormholes from Bulk Fermions
• New exact traversable wormhole solution to the Einstein-scalar-Gauss-Bonnet Equations coupled to a power-Maxwell electrodynamics
• Novel traversable wormhole in General Relativity and Einstein-Scalar-Gauss-Bonnet theory supported by nonlinear electrodynamics
• Self-supporting wormholes with massive vector field
• Anti-de Sitter Quotients: When Are They Black Holes?
• Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory

Cited by in corpus (1)

• Traversable wormholes via a double trace deformation involving $U(1)$ conserved current operators