Generalized models to the einstein-maxwell field equations for space-time symmetries with conformal motions
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Date
2022
Authors
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Journal ISSN
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Publisher
The University of Dodoma
Abstract
New generalized solutions of the Einstein-Maxwell field equations for charged anisotropic stellar spheres are generated. The Einstein-Maxwell field equations are investigated in the presence of the conformal Killing vector and a linear equation of state. The conformal Killing vector provides an equation relating the gravitational potentials. New general forms for the gravitational potentials, a measure of anisotropy, and electric field intensity are specified on physical grounds to generate exact solutions related to compact stars. The generalized solutions with conformal symmetry and a linear equation of state gener ated in this study reduce to several charged/uncharged and anisotropic/isotropic solutions generated by various researchers in the past with approaches other than conformal sym metry. Charged anisotropic models with conformal symmetry and an equation of state that reduce to neutral isotropic models as special cases are missing in the literature. The detailed physical analysis reveals that the gravitational potentials and matter variables are well behaved. The interior and exterior metrics are matched smoothly at the stellar boundary, the gravitational potentials are free from physical and geometric singularities, the energy conditions are satisfied, the mass-radius ratio and surface red shifts are found to be within acceptable limits with the existing literature, and the natural physical forces balance at equilibrium. The models are also stable from gravitational collapse.
Description
Doctoral thesis
Keywords
Einstein-Maxwell field equations, Linear equation, Conformal Killing vector, Gravitational potentials, Geometric, Natural physical forces, Space-time symmetries
Citation
Jape, J. W. (2022). Generalized models to the einstein-maxwell field equations for space-time symmetries with conformal motions (doctoral thesis). Dodoma, The University of Dodoma