A Relativistic Algorithm with Isotropic Coordinates
We study spherically symmetric spacetimes for matter distributions with isotropic pressures. We generate new exact solutions to the Einstein field equations which also contain isotropic pressures. We develop an algorithm that produces a new solution if a particular solution is known. The algorithm l...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/905168 |
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| author | S. A. Ngubelanga S. D. Maharaj |
| author_facet | S. A. Ngubelanga S. D. Maharaj |
| author_sort | S. A. Ngubelanga |
| collection | DOAJ |
| description | We study spherically symmetric spacetimes for matter distributions with isotropic pressures. We generate new exact solutions to the Einstein field equations which also contain isotropic pressures. We develop an algorithm that produces a new solution if a particular solution is known. The algorithm leads to a nonlinear Bernoulli equation which can be integrated in terms of arbitrary functions. We use a conformally flat metric to show that the integrals may be expressed in terms of elementary functions. It is important to note that we utilise isotropic coordinates unlike other treatments. |
| format | Article |
| id | doaj-art-fb7de64ccca54c5ea0730c7fb5b41cbd |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-fb7de64ccca54c5ea0730c7fb5b41cbd2025-02-03T05:49:56ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/905168905168A Relativistic Algorithm with Isotropic CoordinatesS. A. Ngubelanga0S. D. Maharaj1Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaAstrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaWe study spherically symmetric spacetimes for matter distributions with isotropic pressures. We generate new exact solutions to the Einstein field equations which also contain isotropic pressures. We develop an algorithm that produces a new solution if a particular solution is known. The algorithm leads to a nonlinear Bernoulli equation which can be integrated in terms of arbitrary functions. We use a conformally flat metric to show that the integrals may be expressed in terms of elementary functions. It is important to note that we utilise isotropic coordinates unlike other treatments.http://dx.doi.org/10.1155/2013/905168 |
| spellingShingle | S. A. Ngubelanga S. D. Maharaj A Relativistic Algorithm with Isotropic Coordinates Advances in Mathematical Physics |
| title | A Relativistic Algorithm with Isotropic Coordinates |
| title_full | A Relativistic Algorithm with Isotropic Coordinates |
| title_fullStr | A Relativistic Algorithm with Isotropic Coordinates |
| title_full_unstemmed | A Relativistic Algorithm with Isotropic Coordinates |
| title_short | A Relativistic Algorithm with Isotropic Coordinates |
| title_sort | relativistic algorithm with isotropic coordinates |
| url | http://dx.doi.org/10.1155/2013/905168 |
| work_keys_str_mv | AT sangubelanga arelativisticalgorithmwithisotropiccoordinates AT sdmaharaj arelativisticalgorithmwithisotropiccoordinates AT sangubelanga relativisticalgorithmwithisotropiccoordinates AT sdmaharaj relativisticalgorithmwithisotropiccoordinates |