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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