Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The homotheties of spherically symmetric space-time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric coefficients requires further classification.
For a class of spherically symmetric space-time admitting G3 as maximal isometry groups without imposing any restriction on the stress-energy tensor, the metrics along with their corresponding homotheties are found.
In one case, the metric is found along with its homothety vector that satisfies an additional constraint and is illustrated with the help of an example of a metric.
In another case, the metric and the corresponding homothety vector are found for a subclass of spherically symmetric space-time for which the differential constraint is reduced to separable form.
Stress-energy tensor and related quantities of the metrics found are given in the relevant section.
American Psychological Association (APA)
Ahmad, Daud& Habib, Kashif. 2018. Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119292
Modern Language Association (MLA)
Ahmad, Daud& Habib, Kashif. Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group. Advances in Mathematical Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1119292
American Medical Association (AMA)
Ahmad, Daud& Habib, Kashif. Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1119292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119292