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Title	Spherically symmetric perfect fluid
Alternative Title	Τέλειο ρευστό με σφαιρική συμμετρία
Author	Κυβερνητάκη - Συνάνη Άννα
Thesis advisor	Νιάρχος, Βασίλειος Παπακώστας, Ταξιάρχης
Abstract	In the present work, we study the case of spherically symmetric distributions of perfect fluids. Within the framework of General Relativity, the Einstein Field Equations are derived and then verified both by recovering elementary solutions and with the assistance of computational algebra software, namely the open-source Maxima. Subsequently, a generalization of the original Ansatz is performed, to further allow for maximal spatial symmetry beyond the spherical one, followed by an investigation of the way in which the familiar FLRW metric emerges as a solution, in the case of a SEM tensor with space-independent proper energy density and pressure. Finally, the time-dependent version of the produced spherically symmetric EFEs is commented upon, as a "toy-model factory" for the treatment of many astrophysically interesting topics, regarding radiative processes and gravitational phenomena alike. The Vaidya metric is showcased as an introductory example of an appropriate time-dependent exterior geometry, and the correspondance between scalar field SEM tensors to that of perfect fluids (pressureless or not) is demonstrated.
Language	English
Issue date	2022-07-22
Collection	School/Department--School of Sciences and Engineering--Department of Physics--Graduate theses
	Type of Work--Graduate theses
Views	136

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