Course Code

P457

Credit

8

Prerequisite

P304 (Special Theory of Relativity)

Total Hours

42 Lectures + 14 Tutorials

Outcome of the Course

This course teaches the students, advanced concepts and methods in general relativity crucial for the student for building their background for research work in general relativity and cosmology.

Approval

Syllabus

- Review of Newtonian Mechanics. Special theory of relativity. prelude to general relativity, historical developments
- 4-Vectors and 4-tensors, examples from physics
- Principle of Equivalence, Equations of motion, gravitational force
- Tensor analysis in Riemannian space, Effects of gravitation, Riemann-Christoffel curvature tensor, Ricci Tensor, Curvature Scalar
- Einstein Field Equations, Experimental tests of GTR
- Schwartzchild Solution, gravitational lensing
- Gravitational waves: generation and detection
- Energy, momentum and angular momentum in gravitation
- Cosmological principle, Robertson-Walker metric, Redshifts
- Big-Bang Hypothesis, CMB
- Issues in Quantum gravity

Reference Books

- A first course in General Relativity by Bernard Schutz
- Gravity by James B. Hartle
- The Classical Theory of Fields by L. D. Landau and E. M. Lifshitz
- Gravitation and Cosmology by Steven Weinberg
- Introducing Einstein's Relativity by Ray D'Inverno
- General Relativity by P. Dirac