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Indian Institute of Science Education and Research Bhopal


PHY 416: 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:

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