THE DYNAMICAL STUDY OF COMPACT OBJECTS IN GENERAL RELATIVITY

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dc.contributor.authorSyed Ali Mardan Azmi
dc.date.accessioned2018-07-31T05:42:03Z
dc.date.available2018-07-31T05:42:03Z
dc.date.issued2018
dc.descriptionSupervised by: Dr. Muhammad Aziz-ur-Rehmanen_US
dc.description.abstractIn this thesis, we discuss the dynamical stability of charged compact objects with the help of some mathemat¬ical models. For this purpose, we have selected three different models of charged compact objects to discuss the possible occurrence of cracking under different conditions. In first selected model, we discuss charged anisotropic compact objects with a linear equation of state. In second model, we study anisotropic charged compact object PSR J1614-2230 in quadratic regime, while in third model, we study charged compact stars corresponding to embedded class one metric with perfect inner fluid distribution. We investigate the impact of electromagnetic field on the stability regions of charged self-gravitating compact objects by using the con¬cept of cracking. For this, we have applied local density perturbation scheme to the hydrostatic equilibrium equation as well as on physical parameters involved in the model. In particular, we have examined the crack¬ing of charged compact objects (a) PSR J1614-2230, PSR J1903+327, Vela X-1, SMC X-1 and Cen X-3 with linear equation of state (b) PSR J1614-2230 with quadratic equation of state (c) Her X-1, PSR 1937+21, PSR J1614-2230, PSR J0348+0432 and RX J1856-37 corresponding to embedded class one metric. We conclude that these objects exhibit cracking and stability regions decreases with the increase of charge. We also extend two conventional polytropic equations of state to generalized polytropic equations of state for spherical and cylindrical symmetries in the context of general relativity. For this purpose, we formulate the general framework to discuss the physical properties of spherical and cylindrical polytropes with charged anisotropic inner fluid distribution under conformally flat condition. We investigate the stability of general¬ized polytropic models through Tolman-mass and Whittaker formula for spherical and cylindrical symmetries respectively. We also discuss the possible occurrence of cracking in charged anisotropic polytropes devel¬oped under the assumption of generalized polytropic equation of state in two different ways (i) by carrying out local density perturbation under conformally flat condition (ii) by parametric perturbations. We conclud that one of the generalized polytropic equations of state results into a physically viable model and cracking appears for a specific range of density and model parameters.en_US
dc.identifier.urihttps://escholar.umt.edu.pk/handle/123456789/3036
dc.language.isoenen_US
dc.publisherUniversity of Management and Technologyen_US
dc.subjectphysically viable model and crackingen_US
dc.subjectcylindrical symmetriesen_US
dc.subjectPh.den_US
dc.titleTHE DYNAMICAL STUDY OF COMPACT OBJECTS IN GENERAL RELATIVITYen_US
dc.titleThe dynamical study of compact objects in general relativityen_us
dc.typeThesisen_US
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