A construction of the general relativistic Boltzmann equation
Our work depends essentially on the notion of a one-particle seven-dimensional state-space. In constructing a general relativistic theory we assume that all measurable quantities arise from invariant differential forms. In this paper, we study only the case when instantaneous, binary, elastic collis...
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171284000636 |
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| _version_ | 1832567001554354176 |
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| author | P. Dolan A. C. Zenios |
| author_facet | P. Dolan A. C. Zenios |
| author_sort | P. Dolan |
| collection | DOAJ |
| description | Our work depends essentially on the notion of a one-particle seven-dimensional state-space. In constructing a general relativistic theory we assume that all measurable quantities arise from invariant differential forms. In this paper, we study only the case when instantaneous, binary, elastic collisions occur between the particles of the gas. With a simple model for colliding particles and their collisions, we derive the kinetic equation, which gives the change of the distribution function along flows in state-space. |
| format | Article |
| id | doaj-art-f0ea7a8b4edc42e2a0a226e4f892c8ee |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f0ea7a8b4edc42e2a0a226e4f892c8ee2025-02-03T01:02:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017359159710.1155/S0161171284000636A construction of the general relativistic Boltzmann equationP. Dolan0A. C. Zenios1Department of Mathematics, Imperial College, London S.W. 7, UKEuritanius 32, Athens 613, GreeceOur work depends essentially on the notion of a one-particle seven-dimensional state-space. In constructing a general relativistic theory we assume that all measurable quantities arise from invariant differential forms. In this paper, we study only the case when instantaneous, binary, elastic collisions occur between the particles of the gas. With a simple model for colliding particles and their collisions, we derive the kinetic equation, which gives the change of the distribution function along flows in state-space.http://dx.doi.org/10.1155/S0161171284000636general relativistic kinetic theoryphase spaceBoltzmann distribution function. |
| spellingShingle | P. Dolan A. C. Zenios A construction of the general relativistic Boltzmann equation International Journal of Mathematics and Mathematical Sciences general relativistic kinetic theory phase space Boltzmann distribution function. |
| title | A construction of the general relativistic Boltzmann equation |
| title_full | A construction of the general relativistic Boltzmann equation |
| title_fullStr | A construction of the general relativistic Boltzmann equation |
| title_full_unstemmed | A construction of the general relativistic Boltzmann equation |
| title_short | A construction of the general relativistic Boltzmann equation |
| title_sort | construction of the general relativistic boltzmann equation |
| topic | general relativistic kinetic theory phase space Boltzmann distribution function. |
| url | http://dx.doi.org/10.1155/S0161171284000636 |
| work_keys_str_mv | AT pdolan aconstructionofthegeneralrelativisticboltzmannequation AT aczenios aconstructionofthegeneralrelativisticboltzmannequation AT pdolan constructionofthegeneralrelativisticboltzmannequation AT aczenios constructionofthegeneralrelativisticboltzmannequation |