Lecture Playlist
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Newtonian Gravity and the equivalence principle
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Tidal forces and curvature
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Essential tools: tensors and the metric
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Tensor mechanics
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Covariant differentiation and geodesics
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The flat space of special relativity
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The Riemannian curvature tensor
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Equations of motion in curved space
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Gravitation in the Newtonian approximation
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Energy-momentum tensor and Einstein's equations
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Accelerated coordinates
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World lines and Schwarzschild solution
September 22, 2008
This lecture starts with the tidal effects of Newtonian gravity. Tidal effects are due to a nonuniform gravitational field. A person in the freely falling Einstein's elevator experiences weightlessness, and if the elevator is small enough, no tidal effects. The Equivalence Principle states: inertial mass and gravitational mass are equal.
Topics:
- Newtonian Gravity
- Equivalence Principle
- Gauss theorem
References