Lecture 1- Special Theory of Relativity: Inertial Reference Frame;
Principle of relativity; Speed of propagation of interaction;
Signal, event, world line; Invariant interval;
Lecture 2- Special Theory of Relativity: Timelike and Spacelike intervals;
Causal Structure; Proper Time; Lorentz Transformations; Proper length;
Lecture 3- Special Theory of Relativity: 4-vectors, tensors, metrics and all of that.
Lecture 4- Special Theory of Relativity: Dynamics, energy, momentum, velocity,
Lecture 5- Fragments of Differential Geometry: World according to curvilinear
Lecture 6- General Theory of Relativity I: Principle of Equivalence. Moving freely in
the freely falling elevator. Gravity, Lorentz Frames,
Affine connection and Christoffel symbols
Geodesics. Along comes Newtoanian gravity
Lecture 7- General Theory of Relativity II: Principle of General Covariance. Covariant
Differentiation. Geodesic Equation from
Covariant divergence and conserved
Lecture 8- General Theory of Relativity III: Riemann Curvature Tensr
Second Covariant derivatives of scalars, vectors and tensors
Symmetries of the Riemann Tensor
Lecture 9- General Theory of Relativity IV: Einstein's Field Equations,
Energy Momentum Tensor,
Lecture 10- General Theory of Relativity IV: Static and Spherical,
Towards Oppenheimer-Volkoff Equations
Some wonders of GTR
Lecture 11- Equations of Relativistic Stellar Structure: GTR and Newtonian Gravity,
Limiting mass and boundary conditions,
Star of uniform density,
Absolute limiting mass/radius,
Lecture 12- Properties of Relativistic Stellar Structure: Scaling properties of
Equations. Back-to the Basics - GTR
invariant volumes, scalar
densities, current conservations and all that.
Baryon number density.
Baryon number of a star. Causality and the
limiting mass of a star. Conditions for stability.
Lecture 13- Beyond the Limiting Mass: Implosions of the interiors of Beyond-Maximum
Mass Stars, Black-Holes.
Falling into the Black Holes. Light Cones Near the
Black Holes and no escape
scenarios. Density of the Black Holes. Observational
evidence of compact stars and Black Holes.
|©2012 From Dwarfs to the Black Holes • Misak Sargsian||Lorum • Ipsum • Dolor • Sic Amet • Consectetur|