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Title A Study of Spin Precession Effects of Axisymmetric Black Holes

Author(s) Muhammad Tabassum Riaz

Abstract Recent advances in gravitational theory and cosmology have emphasized the need to explore black hole structures within extended frameworks beyond general relativity. This thesis investigates the spin precession effects induced by both spacetime rotation and curvature in two distinct black hole models: a rotating black hole in Brans–Dicke (BD) gravity, which includes a dynamical scalar field, and a rotating black hole surrounded by a string cloud in the presence of dark energy. The study aims to understand how spin precession behaves in these modified gravitational settings and how it can serve as a tool to distinguish between black holes and naked singularities. By analyzing the precession of a test gyroscope near the central object, it is found that divergent precession frequencies are indicative of black hole horizons, while finite precession rates point toward naked singularities. This establishes spin precession as a potential observational criterion for differentiating these two types of compact objects. Furthermore, the influence of scalar fields and exotic matter components, such as dark energy and string clouds, on the precession behavior is explored, offering new insights into how such fields affect the spacetime geometry and the motion of spinning test particles. Overall, the results contribute to a deeper theoretical understanding of compact object classification in alternative gravity theories through physically measurable quantities.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-10-30

Subject Mathematics

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