Einstein’s postulates of special relativity, Lorentz transformations, structure of spacetime, Minkowski spacetime tensors, the light-cone, line element, four-vectors, relativity of simultaneity, velocity transformation and velocity addition. Force equation in relativity, rest mass, kinetic and total energy, conservation of energy and momentum. Covariant form of Maxwell’s equations, four vector potential and field strength tensor. Elements of Tesnsor Calculus, Manifolds and coordinates, curves and surfaces, tensor fields, geodesics, Riemann tensor, Bianchi identity, metric tensor, Ricci tensor, Einstein’s tensor. General Relativity, Principles of general relativity, weak and strong equivalence principle, equation of geodesics deviation, Einstein’s field equations, tests of general theory of relativity, Cosmology, Newtonian cosmology, cosmological redshift, luminosity and redshift relation, Hubble’s law, microwave background, the Big Bang, Friedmann models and cosmological constant, FRW metric.
|
1. Dynamics and Relativity by W. D. McComb, Oxford (1999)
2. Introduction to Cosmology by J. V. Narlikar, Cambridge (2002).
3. Introduction to Cosmology by B. Narlikar, Cambridge (2016).
4. Special Relativity: For the Enthusiastic, CreateSpace, (2017).
5. Introduction to General Relativity,C. Bambi, Springer, (2018)
6. Introducing Einstein’s Relativity, by R. D’Inverno, Oxford (1992).

|