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Title: On Concircular Vector Fields of Selected Spacetimes in General Relativity
Authors: Mahmood, Amjad
Keywords: Physical Sciences
Issue Date: 2020
Publisher: University of Peshawar, Peshawar.
Abstract: The aim of this thesis is to study concircular vector fields of selected spacetimes in general relativity. In particular we obtained concircular vector fields for cylindrically symmetric static, Kantowski-Sachs and Bianchi type-III, Locally Rotationally Symmetric (LRS) Bianchi type-I, -V and spherically symmetric static spacetimes. Concircular vector fields of cylindrically symmetric static spacetimes have been obtained and it has been observed that the concircualr vector fields are either Killing or homothetic vector fields. In the case of Kantowski-Sachs and Bianchi type-III spacetimes it is shown that these spacetimes admit 4, 6, or 15 -dimensional concircular vector fields. For LRS Bianchi type-I spacetimes, it comes out that this spacetimes admits 4, 5, 6, 7 or 15 -dimensional concircular vector fields for particular choices of the metric functions. In many cases, the conformal Killing vector fields of a particular metric are same as concircular vector fields while there exists few cases where proper conformal Killing vector fields are not concircular vector fields. We have also studied concircular vector fields of LRS Bianchi type-V spacetimes and it comes out that this spacetimes admits 4, 5, 6, 7, 8 or 15 -dimensional concircular vector fields. Similarly for spherically symmetric static spacetimes we obtained concircular vector fields and it comes out that this spacetimes admit 5, 6 or 15 -dimensional concircular vector fields. It has been established that when a spacetime becomes an Einstein space, then every conformal Killing vector field becomes a concircular vector field.
Gov't Doc #: 20193
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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