https://doi.org/10.1140/epjc/s10052-021-09492-z
Regular Article - Theoretical Physics
Accounting for exotic matter and the extreme radial tension in Morris–Thorne wormholes of embedding class one
Department of Mathematics, Milwaukee School of Engineering, 53202-3109, Milwaukee, WI, USA
Received:
17
June
2021
Accepted:
25
July
2021
Published online:
30
August
2021
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.
© The Author(s) 2021
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