Hyperbolic Casimir-like wormhole

Abstract

We present a systematic study of exact solutions for traversable wormhole geometries in a static and hyperbolic symmetric spacetime. In the conventional form of studying wormhole geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. Using hyperbolic symmetry we obtain a solution already provided with negative energy density that replaces this effect and allows us to derive wormhole geometries that effectively violate the null energy condition. To achieve this goal, we use a generalized complexity factor for hyperbolic symmetry adapted to study wormhole geometries and with a suitable redshift function in order to construct a Casimir-like traversable hyperbolic wormhole. A detailed study has been conducted on the behavior of the matter sector, the energy conditions, and the traversability conditions.

References in corpus (15)

• Traversable wormholes: Some simple examples
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Warp drive basics
• Complexity factors for axially symmetric static sources
• Wormholes without exotic matter: quasinormal modes, echoes and shadows
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Hyperbolically symmetric static fluids: A general study
• Thin-shell traversable wormhole crafted from a regular black hole with asymptotically Minkowski core
• Traversable wormholes with like--Casimir complexity supported with arbitrarily small amount of exotic matter
• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• $2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling
• Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
• Complexity factor for black holes in the framework of the Newman-Penrose formalism
• Construction of a traversable wormhole from a suitable embedding function

Cited by in corpus (1)

• Traversable ghost wormholes