A pure geometric approach to stellar structure |
| |
Authors: | Mamdouh I Wanas Samah A Ammar |
| |
Institution: | 1. Astronomy Department, Faculty of Science, Cairo University, Giza, Zip Code: 12613, Egypt 2. Egyptian Relativity Group (ERG), Giza, Egypt 3. Center for Theoretical Physics, The British University in Egypt, El Sherouk City-Suez Desert Road-Cairo, Postal No.: 11837, P.O. Box 43, Cairo, Egypt 4. Mathematics Department, Faculty of Girls, Ain Shams University Heliopolis, Cairo, Egypt
|
| |
Abstract: | The present work represents a step in dealing with stellar structure using a pure geometric approach. Geometric field theory is used to construct a model for a spherically symmetric configuration. In this case, two solutions have been obtained for the field equations. The first represents an interior solution which may be considered as a pure geometric one in the sense that the tensor describing the material distributions is not a phenomenological object, but a part of the geometric structure used. A general equation of state for a perfect fluid, is obtained from, and not imposed on, the model. The second solution gives rise to Schwarzschild exterior field in its isotropic form. The two solutions are matched, at a certain boundary, to evaluate the constants of integration. The interior solution obtained shows that there are different zones characterizing the configuration: a central radiation dominant zone, a probable convection zone as a physical interpretation of the singularity of the model, and a corona like zone. The model may represent a type of main sequence stars. The present work shows that Einstein’s geometerization scheme can be extended to gain more physical information within material distribution, with some advantages. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|