## Einstein's General Theory of Relativity

**Einstein's General Theory of Relativity (Fall 2008, Stanford Univ.)**. Instructor: Professor Leonard Susskind. General relativity, or the general theory of relativity,
is the geometric theory of gravitation published by Albert Einstein in 1916 and the current description of gravitation in modern physics. General relativity generalises
special relativity and Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime.
In particular, the curvature of spacetime is directly related to the energy and momentum of whatever matter and radiation are present.
(from **theoreticalminimum.com**)

Lecture 01 - Newtonian Gravity and the equivalence principleNewtonian Gravity, Equivalence Principle, Gauss theorem. |

Lecture 02 - Tidal forces and curvatureReview preliminary mathematics, Tidal forces and curvature, Minkowski metric. |

Lecture 03 - Essential tools: tensors and the metricEinstein summation convention, Distance element, Contravariant/covariant transformations, Metric tensor. |

Lecture 04 - Tensor mechanicsTensors, Tensor indices, Inverse of the metric tensor, The metric tensor is symmetric, Proper time. |

Lecture 05 - Covariant differentiation and geodesicsTransformation properties of tensors, Covariant derivative, Christoffel symbol, Geodesic. |

Lecture 06 - The flat space of special relativityThe Minkowski metric, Minkowski space, Parallel transport. |

Lecture 07 - The Riemannian curvature tensorParallel Transport, Riemann curvature tensor, Ricci tensor, Continuity equation, Energy momentum tensor. |

Lecture 08 - Equations of motion in curved spaceCovariant derivative, Riemann tensor, Newtonian approximation, Tangent vector, Curvature. |

Lecture 09 - Gravitation in the Newtonian approximationThe field equations of relativity in the Newtonian approximation, Einstein's equation relating curvature and the energy momentum tensor. |

Lecture 10 - Energy-momentum tensor and Einstein's equationsWave equation for a scalar field in curved space, Energy momentum tensor, Cosmological constant. |

Lecture 11 - Accelerated coordinatesLocal inertial coordinates, Rindler coordinates, Schwarzschild metric, Birkhoff's theorem. |

Lecture 12 - World lines and Schwarzschild solutionSpace-time diagram, Light cone, Schwarzschild metric, Singularity, Event horizon. |

References |

General Relativity (Fall, 2008) | The Theoretical MinimumGeneral relativity, or the general theory of relativity, is the geometric theory of gravitation published by Albert Einstein in 1916 and the current description of gravitation in modern physics. |