Accounting for exotic matter and the extreme radial tension in Morris-Thorne wormholes of embedding class one
arXiv:2202.00051 · doi:10.1140/epjc/s10052-021-09492-z
Abstract
The embedding of a curved spacetime in a higher-dimensional flat spacetime has continued to be a topic of interest in the general theory of relativity, as exemplified by the induced-matter theory. This paper deals with spacetimes of embedding class one, i.e., spacetimes that can be embedded in a five-dimensional flat spacetime. Einstein's theory allows the fifth dimension to be either spacelike or timelike. By assuming the latter, this paper addresses two fundamental issues concerning Morris-Thorne wormholes, the origin of exotic matter and the frequently inexplicable enormous radial tension at the throat.
arXiv comment8 pages, no figures
References in corpus (16)
- Traversable wormholes with arbitrarily small energy condition violations
- Wormhole geometries in f(R) modified theories of gravity
- Phantom energy traversable wormholes
- Wormholes supported by a phantom energy
- Geometric structure of the generic static traversable wormhole throat
- Generalized model for anisotropic compact stars
- Application of the Campbell-Magaard theorem to higher-dimensional physics
- Anisotropic fluid spheres of embedding class one using Karmarkar condition
- Possible existence of wormholes in the central regions of halos
- Generating physically realizable stellar structures via embedding
- A new model for spherically symmetric charged compact stars of embedding class one
- Anisotropic stars for spherically symmetric spacetimes satisfying the Karmarkar condition
- Volume Integral Theorem for Exotic Matter
- The Status of Modern Five-Dimensional Gravity
- Accounting for the large radial tension in Morris-Thorne wormholes
- A model for dark energy based on the theory of embedding