Student Number

21231

Degree

Master of Science in Mathematics

Department

Department of Mathematical Sciences

Faculty/School

School of Mathematics and Computer Science (SMCS)

Date of Award

2026

Advisor

Dr. Babar Ahmed Qureshi, Professor, Department of Mathematical Sciences

Committee Member 1

Dr. Babar Ahmed Qureshi, Supervisor, Department of Mathematical Sciences

Committee Member 2

Dr. Khalid Saifullah, Examiner, Professor, Quaid-i-Azam University

Committee Member 3

Dr. Abdul Majid, Program Director, Institute of Business Administration (IBA), Karachi

Project Type

Thesis

Access Type

Restricted Access

Pages

ix, 52

Keywords

Stationary Black Hole, Schwarzschild metric, Kerr metric, Area Theorem, General Relativity

Abstract

The aim of this thesis is to study laws of mechanics of Black Holes in the context of General Relativity. Important tools of General Relativity have been covered including concept of curvature and causal structure of spacetime. It then explore some characteristics of Schwarzschild and Kerr Black Holes and derived global quantities of them. These global quantities which are defined on Event Horizon of Black Hole makes analogy with the thermodynamics of physics. It then presents the Black Hole analogue of the zeroth, first, second and third laws of classical mecanics in General Relativity.

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