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| Identifier |
000410176 |
| Title |
The study of the anisotropic fluid solution of Carter's family of metrics, an attempt to construct a "realistic stellar model". |
| Alternative Title |
Η μελέτη της λύσης ανισοτροπικού ρευστού της οικογένειας Carter, μια προσπάθεια κατασκευής ενός "ρεαλιστικού αστρικού μοντέλου" |
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Author
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Κόκκινος, Διονύσιος Β.
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Thesis advisor
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Παπακώστας, Ταξιάρχης
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Reviewer
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Κυρίτσης, Ηλίας
Τσάμης, Νικόλαος
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| Abstract |
The analysis and the construction of models, based on mathematical principles of General Relativity, gives innovative ideas about the concept of gravity. The analytical solutions of Einstein's Field Equations provide us with "images" of astronomical objects, which are of considerable interest, in current theoretical physics. The scientific community manages to develop mathematical models which have not only been obtained by strictly mathematical principles but complementary they meet physical expectations. These kind of models are the best known descriptions of astronomical objects in the context of General Relativity.
This thesis is an attempt to construct a realistic stellar model. We are occupied with the study and the analysis of the Anisotropic Fluid Solution of Carter's Family of Solutions, which was found in 2000 by T. Papakostas and its "soldering" with the Carter's Family of solution [A~].
T. Papakostas solution is based on the form of stress-energy tensor and describes a rotating anisotropic fluid. This solution is contained in the Carter's family and it is an example of an ellipsoid of revolution. Carter's Family can be characterized by the existence of a 2nd-rank Killing tensor with two double eigenvalues, with orbits which can be either timelike or spacelike. The whole Carter's family encloses the necessary physical properties which characterize any of these solutions as physical.
The "soldering" is referred to the matching between the Papakostas solution and the Carter's Family of solutions [A~] which is a generalization of Kerr-NUT metric. Carter's Family of solutions is the most general family of exterior physical solutions and it contains the complete solution of Einstein's vacuum equations (both with or without cosmological constant).
Concluding, this work aims to the matching of those two solutions at the zero-pressure surface, providing us with a realistic stellar model in case that the soldering is successful.
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| Language |
English |
| Subject |
Family Carter |
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General relativity |
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Ανισοτροπική λύση |
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Γενική σχετικότητα |
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Οικογένεια Carter |
| Issue date |
2017-07-21 |
| Collection
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School/Department--School of Sciences and Engineering--Department of Physics--Post-graduate theses
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Type of Work--Post-graduate theses
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| Views |
436 |
The study of the anisotropic fluid solution of Carter's family of metrics, an attempt to construct a "realistic stellar model".
