General Relativity & Cosmology (Optional Paper)
Paper Code:
MAT 426
Credits:
5
Contact Hours:
75.00
Max. Marks:
100.00
Unit I:
I
15.00
Mach’s principle, Newtonian approximation of equation of motion, Einstein’s field equation for matter and empty space, Reduction of Einstein’s field equation to Poisson’s equation.
Unit II:
II
15.00
Removal of clock paradox in General Relativity. Schwarzschild exterior metric, its isotropic form, Singularity and singularities in Schwarzschild exterior metric, Derivation of the formula GM = c2m, Mass of sun in gravitational unit,
Unit III:
III
15.00
Relativistic differential equation for the orbit of the planet. Three crucial tests in General Relativity and their detailed descriptions, Analogues of Kepler’s laws in General Relativity.
Unit IV:
IV
15.00
Trace of Einstein tensor, Energy-momentum tensor and its expression for perfect fluid, Schwarzschild interior metric and boundary condition.
Unit V:
V
15.00
Cosmology - Einstein’s field equation with cosmological term, Static cosmological models (Einstein & de-Sitter models) with physical and geometrical properties, Non-static form of de-Sitter line-element and Red shift in this metric, Einstein space, Hubble’s law, Weyl’s postulate.
Essential Readings:
- Tolman R.C. : Relativity, Thermodynamics and Cosmology, Oxford University Press.
- Synge J.L. : Relativity the Special and General North Holland Publishing Company, Amsterdam.
- Eddention A.S. : The Mathematical Theory of Relativity, Cambridge.
Academic Year:
