Exact Solutions for Charged Static Anisotropic Fluid Spheres: Physically Acceptable Models for Compact Objects

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dc.contributor.advisorHobill, David
dc.contributor.authorBell, Robert Ted
dc.contributor.committeememberOuyed, Rachid
dc.contributor.committeememberStil, Jeroen
dc.contributor.committeememberStotyn, Sean
dc.date2022-06
dc.date.accessioned2022-01-31T14:46:48Z
dc.date.available2022-01-31T14:46:48Z
dc.date.issued2022-01-25
dc.description.abstractThe Einstein field equations of general relativity are solved for a static fluid sphere with charge and anisotropic pressure inclusions by adapting the isotropic uncharged Tolman VII solution to incorporate enhanced physical complexity. Physically realistic assumptions for the density and charge structure of the fluid sphere are applied to the field equations and through analytic methods, four novel exact interior solutions meeting the criteria for physical acceptability are determined. The solutions correspond to natural and self bound fluids, with two of the solutions described entirely by elementary functions and two require the use of special functions. The mathematical and physical properties of each solution are examined, which illustrates the solutions are well suited as models for compact objects. Additional properties of the solutions are explored, which include the ability to produce closed form equations of state, maximum compactness, and how potential models compare with observed compact objects.en_US
dc.identifier.citationBell, R. T. (2022). Exact Solutions for Charged Static Anisotropic Fluid Spheres: Physically Acceptable Models for Compact Objects (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/39559
dc.identifier.urihttp://hdl.handle.net/1880/114354
dc.language.isoengen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectExact solutionsen_US
dc.subjectGeneral Relativityen_US
dc.subjectCompact objectsen_US
dc.subjectFluid spheresen_US
dc.subjectTolman VIIen_US
dc.subjectAnisotropic pressureen_US
dc.subjectNeutron starsen_US
dc.subjectEinstein equationsen_US
dc.subjectElectric chargeen_US
dc.subject.classificationAstronomy and Astrophysicsen_US
dc.titleExact Solutions for Charged Static Anisotropic Fluid Spheres: Physically Acceptable Models for Compact Objectsen_US
dc.typemaster thesisen_US
thesis.degree.disciplinePhysics & Astronomyen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameMaster of Science (MSc)en_US
ucalgary.item.requestcopytrueen_US
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