Gravitational field of Schwarzschild soliton

The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields. Through the cases of two and three dimension for Schwarzschild soliton, the Gaussian curvature is expressed in terms of eigen...

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Bibliographic Details
Published in:Arab journal of mathematical sciences 2015-01, Vol.21 (1), p.15-21
Main Authors: Ali, Musavvir, Ahsan, Zafar
Format: Article
Language:English
Subjects:
53B50
83C15
83C57
Gaussian curvature
Gravitational field
Ricci soliton
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Summary:The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields. Through the cases of two and three dimension for Schwarzschild soliton, the Gaussian curvature is expressed in terms of eigen values of the characteristic equation.
ISSN:1319-5166
DOI:10.1016/j.ajmsc.2013.10.003