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General Relativity ,Fall 2012

Stanford,, Fall 2012 , Prof. Leonard Susskind

Updated On 02 Feb, 19

Overview

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

Includes

Lecture 5:

4.1 ( 11 )


Lecture Details

(October 29, 2012) Leonard Susskind presents the physics of black holes including the event horizon, the photon sphere, and the singularity.This series is the fourth installment of a six-quarter series that explore the foundations of modern physics. In this quarter, Professor Susskind focuses on Einsteins General Theory of Relativity and in this lecture Leonard Susskind moves the course into discussions of gravity and basic gravitational fields.Stanford Universityhttpwww.stanford.eduStanford Continuing Studieshttpcsp.stanford.eduStanford University Channel on YouTubehttpwww.youtube.comstanford

Ratings

5.0


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Comments
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Sam

Excellent course helped me understand topic that i couldn't while attendinfg my college.

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Dembe

Great course. Thank you very much.

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