Modern Physics: Einstein's General Theory of Relativity

Stanford Univ. - Modern Physics: Einstein's General Theory of Relativity (Fall 2008). This course consists of 12 video lectures given by Professor Leonard Susskind. The topics covered in this course focus on Einstein's general theory of relativity: Newton's theory of gravity, gravitational field, Gauss's theorem, gravity acceleration equivalence principle, light in an accelerated field, tensors, flat and curved space, space-time, Riemann curvature tensor, the field equations of relativity, wave motion extension to curved space, black hole, and space-time diagrams.

Lecture 1 | Modern Physics: Einstein's Theory
Newton, Gauss, Kepler, Tidal Forces - Newton's theory of gravity, tidal forces, gravitational field, Gauss's theorem, Newton's gravitational mass of a sphere.

Lecture 2 | Modern Physics: Einstein's Theory
Gravity Acceleration Equivalence, Gauss's Law - note on dark energy, Gauss's law, gravity within a sphere, gravity acceleration equivalence principle, light in an accelerated field.

Lecture 3 | Modern Physics: Einstein's Theory
Math Transforms, Tensors, Metrics, Curved Space - basic transformation formulas, tensors, metric tensors, flat and curved space.

Lecture 4 | Modern Physics: Einstein's Theory
Math Tensors, indices, Co-Contravariant, Coordinates - review of covariant/contravariant vectors, contracting indices, raising lowering indices, space-time.

Lecture 5 | Modern Physics: Einstein's Theory
Tensor Calculus, Geodescics, Curves, Coordinates - tensor scalar field, coordinates and tensor vector fields, covariant differentiation.

Lecture 6 | Modern Physics: Einstein's Theory
Curvature, Parallel Transport, Curved Space - the "rest-frame" of the Universe, space-time, intervals, curvature, define parallel transport.

Lecture 7 | Modern Physics: Einstein's Theory
Parallel Transport, Tensors Riemann, Ricci, Gamma, Curvature, Energy, Momentum

Lecture 8 | Modern Physics: Einstein's Theory
Parallel Transport, Commutators, Newtonian Approximation to GR Tensors

Lecture 9 | Modern Physics: Einstein's Theory
Field Equations, Tensor - metric tensor manipulations, the field equations of relativity, formulating the Stress-Energy tensor from Newtonian Mechanics.

Lecture 10 | Modern Physics: Einstein's Theory
Energy, Tensor, Wave Motion, SR, 5-D, BHole - possibilities of special dimensions other than three, wave motion extension to curved space, the energy density.

Lecture 11 | Modern Physics: Einstein's Theory
Geodesics, Coordinate Transforms, Black Hole - integrated curvature, geodesic coordinates, accelerated reference frame diagrams, coordinate transformation to polar coordinates.

Lecture 12 | Modern Physics: Einstein's Theory
Schwartzchild Black Hole - summary of space-time diagrams, the Schwartzchild solution, note on black hole horizon.



Web... General Relativity Lecture Notes
General Relativity Einstein¡¯s Theory Lecture Notes Susskind Stanford Fall 2008. GR00 Contents. GR01 Newton, Gauss, Kepler, Tidal Forces. GR02 Gravity Acceleration Equivalence, Gauss's Law. ...
www.scribd.com/document_collections/2626087