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Indian Institute of Science Education and Research Bhopal
Physics
PHY 616: General Theory of Relativity (4)
Review of special theory of relativity
Mathematical aspects: Tensor algebra, Transformation of coordinates, Lie derivative, covariant derivative, affine connections, Riemann tensor, Curvature tensior
Inertial frames, Gravitational mass and inertial mass, Equivalance principle: weak form, strong form, Principle of general covariance
Field equations in general relativity: Geodesic deviation, Vacuum Einstein equations.
Action formulation of GTR
Solution of Einstein equations: Tests of GTR, Black holes, Schwarzschild black hole
Penrose diagram of Schwarzschild black hole.
Cosmology: FRW Universe.
Suggested Books:
- Spacetime and Geometry: An Introduction to General Relativity by Sean Carroll
- General Relativity by Robert M. Vald
- Gravity: An Introduction to Einstein;s General Relativity by James B. Hartle
- Gravitation and Cosmology: by Steven Weinberg
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