General Relativity ,Fall 2012
Stanford,, Fall 2012 , Prof. Leonard Susskind
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Updated On 02 Feb, 19
The equivalence principle - Accelerated reference frames - Curvilinear coordinate transformations - Effect of gravity on light - Tidal forces - Euclidean geometry - Riemannian geometry - Metric tensor - Distance measurement in a curved geometry - Intrinsic geometry - Flat spacetime - Einstein summation convention - Covariant and contravariant vectors and tensors - Flat space - Metric tensor - Scalar and tensor fields - Tensor analysis - Tensor mathematics: addition, multiplication, contraction - Riemannian geometry - Metric tensor - Gaussian normal coordinates - Covariant derivatives - Christoffel symbols - Curvature tensor - Cones - Parallel transport - Tangent vectors - Geodesics - Spacetime - Special relativity - Uniform acceleration - Uniform gravitational fields - Space-like, time-like, and light-like intervals - Light cone - Black holes
Schwarzschild metric - Event horizon - Schwarzschild metric - Schwarzschild Radius - Black hole event horizon - Light ray orbiting a black hole - Photon sphere - Hyperbolic coordinates - Black hole singularity - Schwarzschild metric - Event horizon - Singularity KruskalSzekeres coordinates - Penrose diagrams - Wormholes - Formation of a black hole - Newton's shell theorem - Newtonian - gravitational field - Continuity equation - Stressenergy tensor (also known as the energy-momentum tensor) - Curvature scalar - Ricci tensor - Einstein tensor - Einstein field equations - Weak gravitational fields - Gravitational radiation - Gravity waves - Einstein-Hilbert action for general relativity
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(November 26, 2012) Leonard Susskind derives the Einstein field equations of general relativity and demonstrates how they equate spacetime curvature as expressed by the Einstein tensor, with the energy and momentum within that spacetime as expressed by the stress-energy tensor.This series is the fourth installment of a six-quarter series that explore the foundations of modern physics. In this quarter Susskind focuses on Einsteins General Theory of Relativity.Originally presented in the Stanford Continuing Studies Program.Stanford Universityhttpwww.stanford.eduStanford Continuing Studies Programhttpscontinuingstudies.stanford.eduStanford University Channel on YouTubehttpwww.youtube.comstanford
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
March 29, 2019
Great course. Thank you very much.