Anisotropic Fluid Solutions to Einstein's Equations in Spherical Symmetry
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Authors
McNish, Matthew
Date
Type
thesis
Language
eng
Keyword
Anisotropic Fluid , General Relativity , 2M/R , Equation of State , Relativistic fluid
Alternative Title
Abstract
The main objective of this thesis is to develop and investigate a class of spherically symmetric solutions to Einstein's field equations for anisotropic matter distributions. This work is partially motivated by a recent theorem of Andreasson \cite{ha1}, on the upper limit of the tenuity ratio for objects possessing equations of state of the form $p_r+ 2 p_t = \Omega \rho$, where $p_r, p_t$ and $\rho$ are the radial pressure, tangential pressure and energy density, respectively and $\Omega$ is an unspecified constant characteristic parameter of the fluid. An immediate goal was to extend this theorem to the broader class of all linear barotropic equations of state. A solution generating algorithm which yields infinitely many analytical, physically reasonable, stable fluid distributions for general linear barotropes (with and without the cosmological constant $\Lambda$) is presented and analyzed. Other general aspects of spherical anisotropic matter distributions are discussed, including historically significant developments, wave propagation and stability.
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Attribution-NonCommercial-NoDerivs 3.0 United States
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.
Attribution-NonCommercial-NoDerivs 3.0 United States