Spherically symmetric wormholes of embedding class one

This paper generalises an earlier result by the author based on the well-established embedding theorems that connect the classical theory of relativity to higher-dimensional space–times. In particular, an n -dimensional Riemannian space is said to be of class m if m + n is the lowest dimension of th...

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Bibliographic Details
Published in:Pramāṇa 2019-05, Vol.92 (5), p.1-4, Article 75
Main Author: Kuhfittig, Peter K F
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Embedding
Observations and Techniques
Physics
Physics and Astronomy
Red shift
Relativity
Shape functions
Wormholes
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Summary:This paper generalises an earlier result by the author based on the well-established embedding theorems that connect the classical theory of relativity to higher-dimensional space–times. In particular, an n -dimensional Riemannian space is said to be of class m if m + n is the lowest dimension of the flat space in which the given space can be embedded. To study traversable wormholes, we concentrate on spacetimes that can be reduced to embedding class one by a suitable transformation. It is subsequently shown that the extra degrees of freedom from the embedding theory provide the basis for a complete wormhole solution in the sense of obtaining both the redshift and shape functions.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-019-1742-2