RELATIVISTIC MECHANICS (Optional Paper)
Relative character of space and time, Principle of relativity and its postulates, Derivation of special Lorentz transformation equations, Composition of parallel velocities, Lorentz-Fitzgerald contraction formula.
Time dilation, Simultaneity, Relativistic transformation formulae for velocity, Lorentz contraction factor, Particle acceleration, Velocity of light as fundamental velocity.
Relativistic aberration and its deduction to Newtonian theory. Variation of mass with velocity, Equivalence of mass and energy, Transformation formulae for mass, Momentum and energy, Problems on conservation of mass, Momentum and energy.
Problems on conservation of mass, Momentum and energy, Relativistic Lagrangian and Hamiltonian, Minkowski space, Space-like, Time-like and light-like intervals.
Null cone, Relativity and causality, Proper time, World line of a particle, Principles of equivalence and general covariance.
- Jayant V. Narlikar, Introduction to Cosmology, Cambridge University Press, 2002.
- Bernard F. Schutz, A First Course in General Relativity, Cambridge University Press, 2010.
- Sushil Kumar Srivastava, General Relativity and Cosmology, Prentice hall India, 2008.
- Raj Bali, General Relativity, Jaipur Publishing House, 2005.
- David Agmon, Paul Gluck, Classical and Relativistic Mechanics, 2009.
- Jayant V. Narlikar, An Introduction to Relativity, Cambridge University Press, 2010.
- Robert J. A. Lambourne, Relativity, Gravitation, and Cosmology, Cambridge University Press, 2010.
- R.C. Tolman, Relativity, Thermodynamics and Cosmology, Oxford University Press, 1934.
- J.L. Synge, Relativity the General Theory, North Holland Publishing Company, Amsterdam, 1971.
- A.S. Eddention, The Mathematical Theory of Relativity, Cambridge University Press, 2010.
- S. Aranoff, Equilibrium in Special Relativity: The Special Theory, North Holland Publication. Amsterdam, 1965.
