Analytical Models for Gravitating Radiating Systems
We analyse the gravitational behaviour of a relativistic heat conducting fluid in a shear-free spherically symmetric spacetime. We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear ordinary differential equation with variable coefficients in the gr...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/274251 |
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| author | B. P. Brassel S. D. Maharaj G. Govender |
| author_facet | B. P. Brassel S. D. Maharaj G. Govender |
| author_sort | B. P. Brassel |
| collection | DOAJ |
| description | We analyse the gravitational behaviour of a relativistic heat conducting fluid in a shear-free spherically symmetric spacetime. We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear ordinary differential equation with variable coefficients in the gravitational potentials. Several new classes of solutions are found to the governing equation by imposing various forms on one of the potentials. Interestingly, a complex transformation leads to an exact solution with only real metric functions. All solutions are written in terms of elementary functions. We demonstrate graphically that the fluid pressure, energy density, and heat flux are well behaved for the model, and the model is consistent with a core-envelope framework. |
| format | Article |
| id | doaj-art-b5d16712a39a4a998607544cce7d9fd4 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b5d16712a39a4a998607544cce7d9fd42025-02-03T05:47:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/274251274251Analytical Models for Gravitating Radiating SystemsB. P. Brassel0S. D. Maharaj1G. Govender2Astrophysics 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 AfricaAstrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaWe analyse the gravitational behaviour of a relativistic heat conducting fluid in a shear-free spherically symmetric spacetime. We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear ordinary differential equation with variable coefficients in the gravitational potentials. Several new classes of solutions are found to the governing equation by imposing various forms on one of the potentials. Interestingly, a complex transformation leads to an exact solution with only real metric functions. All solutions are written in terms of elementary functions. We demonstrate graphically that the fluid pressure, energy density, and heat flux are well behaved for the model, and the model is consistent with a core-envelope framework.http://dx.doi.org/10.1155/2015/274251 |
| spellingShingle | B. P. Brassel S. D. Maharaj G. Govender Analytical Models for Gravitating Radiating Systems Advances in Mathematical Physics |
| title | Analytical Models for Gravitating Radiating Systems |
| title_full | Analytical Models for Gravitating Radiating Systems |
| title_fullStr | Analytical Models for Gravitating Radiating Systems |
| title_full_unstemmed | Analytical Models for Gravitating Radiating Systems |
| title_short | Analytical Models for Gravitating Radiating Systems |
| title_sort | analytical models for gravitating radiating systems |
| url | http://dx.doi.org/10.1155/2015/274251 |
| work_keys_str_mv | AT bpbrassel analyticalmodelsforgravitatingradiatingsystems AT sdmaharaj analyticalmodelsforgravitatingradiatingsystems AT ggovender analyticalmodelsforgravitatingradiatingsystems |