Accounting for exotic matter and the extreme radial tension in Morris-Thorne wormholes of embedding class one

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.

8 pages, no figures

References in corpus (5)

• Wormhole geometries in f(R) modified theories of gravity
• Generalized model for anisotropic compact stars
• Possible existence of wormholes in the central regions of halos
• The Status of Modern Five-Dimensional Gravity
• Accounting for the large radial tension in Morris-Thorne wormholes

Cited by in corpus (2)

• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes