Unit 1
Tensor Calculus and Differential Geometry: Riemannian space, Curvilinear coordinates, Tensors, Affine connection, Covariant derivative, Geodesics, Riemann-Christoffel curvature tensor, Bianchi identities, Ricci Tensor, Curvature Scalar.
| Course Name | Introduction to General Theory of Relativity |
| Course Code | 22PHY537 |
| Semester | 8 |
| Credits | 3 |
Tensor Calculus and Differential Geometry: Riemannian space, Curvilinear coordinates, Tensors, Affine connection, Covariant derivative, Geodesics, Riemann-Christoffel curvature tensor, Bianchi identities, Ricci Tensor, Curvature Scalar.
Special Theory of Relativity and Introduction to Gravity: Minkowski spacetime, Special Theory of Relativity, Relativistic Dynamics. The principle of equivalence, Principle of General covariance, General Theory of Relativity – historical developments.
Einstein Field Equations: Gravity and Geometry, Energy-momentum tensor, Curvature tensors, Bianchi identities, Einsten tensor, Field equation, Weak Gravitational Field.
Schwartzchild Solution: Centrally symmetric Gravitational Field, Static spherically symmetric space-time, Schwartzchild Solutions
Black Holes: Relativistic Stellar star structure, Gravitational Collapse, Black Holes
Prerequisites: Mathematical Physics & Special Theory of Relativity
Objectives: To have a physical idea and mathematical understanding of General theory of Relativity and its applications
Text Books
Reference Books
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