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Title: Nature of Gravitational Collapse in Einstein Gauss-Bonnet Theory
Authors: Tahir, Muhammad
Keywords: Physical Sciences
Issue Date: 2020
Publisher: Islamia University, Bahawalpur.
Abstract: In this thesis, we have studied the nature of gravitational collapse of isotropic and anisotropic fluids with spherically symmetric geometry in Einstein Gauss-Bonnet theory of gravity. The exact solutions of field equations for perfect fluid in Einstein Gauss-Bonnet theory have been investigated by assuming the marginally bound condition. These solutions predict the gravitational collapse of spherically sym metric source. Also, the expansion and collapse solutions for an anisotropic source have been investigated by auxiliary solutions approach. The dynamics of grav itating source have been observed graphically in both expanding and collapsing cases with the effects of Guass-Bonnet coupling constant α. For the feasible energy momentum tensor, the energy conditions have been plotted. Further, the dissipa tion effects on the dynamics have been explored during the collapse of gravitating source. In this context, we have formulated the dynamical equations in term of proper time and radial derivatives. The dynamical equations have been coupled with the heat transport equations to study the radial heat flux with GB coupling constant α. The instability of gravitating object with expansion-free condition has been studied in detail. The perturbation scheme has been applied to the dynami cal equations to formulate the collapse equation. The Newtonian, post-Newtonian and post-post-Newtonian orders have been used to determine the general dynam ical instability equation. The GB coupling constant α affects the formation of cur vature singularity, apparent horizon and instability of the collapsing so
Gov't Doc #: 21650
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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