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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 7:

4.1 ( 11 )


Lecture Details

(October 15, 2012) Leonard Susskind moves the course into discussions of gravity and basic gravitational fields. The Fall 2012 quarter of the Modern Physics series concentrates on Einsteins theory of gravity and geometry the General Theory of Relativity. This course is the fourth of a six-quarter sequence of classes that explores the essential theoretical foundations of modern physics.Originally presented in the Stanford Continuing Studies ProgramStanford Universityhttpwww.stanford.eduStanford Continuing Studieshttpcsp.stanford.eduStanford University Channel on YouTubehttpwww.youtube.comstanford

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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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