Conformal Mappings in Relativistic Astrophysics
We describe the use of conformal mappings as a mathematical mechanism to obtain exact solutions of the Einstein field equations in general relativity. The behaviour of the spacetime geometry quantities is given under a conformal transformation, and the Einstein field equations are exhibited for a pe...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/196385 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849395722902831104 |
|---|---|
| author | S. Hansraj K. S. Govinder N. Mewalal |
| author_facet | S. Hansraj K. S. Govinder N. Mewalal |
| author_sort | S. Hansraj |
| collection | DOAJ |
| description | We describe the use of conformal mappings as a mathematical mechanism to obtain exact solutions of the Einstein field equations in general relativity. The behaviour of the spacetime geometry quantities is given under a conformal transformation, and the Einstein field equations are exhibited for a perfect fluid distribution matter configuration. The field equations are simplified and then exact static and nonstatic solutions are found. We investigate the solutions as candidates to represent realistic distributions of matter. In particular, we consider the positive definiteness of the energy density and pressure and the causality criterion, as well as the existence of a vanishing pressure hypersurface to mark the boundary of the astrophysical fluid. |
| format | Article |
| id | doaj-art-b6d2fc0bf0994dcf936425cc453a548f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b6d2fc0bf0994dcf936425cc453a548f2025-08-20T03:39:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/196385196385Conformal Mappings in Relativistic AstrophysicsS. Hansraj0K. S. Govinder1N. Mewalal2Astrophysics and Cosmology Research Unit, School of Mathematics, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaAstrophysics and Cosmology Research Unit, School of Mathematics, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaAstrophysics and Cosmology Research Unit, School of Mathematics, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaWe describe the use of conformal mappings as a mathematical mechanism to obtain exact solutions of the Einstein field equations in general relativity. The behaviour of the spacetime geometry quantities is given under a conformal transformation, and the Einstein field equations are exhibited for a perfect fluid distribution matter configuration. The field equations are simplified and then exact static and nonstatic solutions are found. We investigate the solutions as candidates to represent realistic distributions of matter. In particular, we consider the positive definiteness of the energy density and pressure and the causality criterion, as well as the existence of a vanishing pressure hypersurface to mark the boundary of the astrophysical fluid.http://dx.doi.org/10.1155/2013/196385 |
| spellingShingle | S. Hansraj K. S. Govinder N. Mewalal Conformal Mappings in Relativistic Astrophysics Journal of Applied Mathematics |
| title | Conformal Mappings in Relativistic Astrophysics |
| title_full | Conformal Mappings in Relativistic Astrophysics |
| title_fullStr | Conformal Mappings in Relativistic Astrophysics |
| title_full_unstemmed | Conformal Mappings in Relativistic Astrophysics |
| title_short | Conformal Mappings in Relativistic Astrophysics |
| title_sort | conformal mappings in relativistic astrophysics |
| url | http://dx.doi.org/10.1155/2013/196385 |
| work_keys_str_mv | AT shansraj conformalmappingsinrelativisticastrophysics AT ksgovinder conformalmappingsinrelativisticastrophysics AT nmewalal conformalmappingsinrelativisticastrophysics |