**PHY ****315: Theory of Relativity**** ****(4)**

*Pre-Einstein Relativity: *Inertial and non-inertial frames; Galilean relativity; Michelson-Morley experiment; Concepts of aether

*Einstein’s Relativity: *Postulates of the special theory of relativity; Lorentz transformations; Length contraction; Time dilations; Simultaneity; Velocity addition theorem; Aberration; Doppler effect; Mass energy relation

*Algebra of Lorentz Transformations: *Proper time and the light cone; Intervals; Minkowski metric; Causality; Lorentz transformations as orthogonal transformations in 4 dimensions; 4-vectors and tensors; Covariance of the equations of physics; Relativistic momentum and energy; Variation of mass with velocity

*Relativistic Particle Kinematics: *Kinematics of decay products of an unstable particle; Centre of momentum transformation and reaction thresholds; Transformation of scattering cross section; Momenta and energies from CM to laboratory systems

*Incompleteness of Special Theory of Relativity: *Non-intertial reference frames; The Equivalence Principle; Gravitational red shift and time delay; Towards General Relativity

*Suggested Books*:

- Resnick -
*Special Theory of Realtivity* - French -
*Special Theory of Realtivity* - Edwin F. Taylor and John Archibald Wheeler -
*Spacetime Physics: Introduction to Special Relativity* - Wolfgang Rindler -
*Introduction to Special Relativity* - S. Carroll -
*General Relativity* - S. Weinberg -
*Gravitation and Cosmology*

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