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Lecture
Energy-Momentum Tensor
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Special and General Relativity
Introduces special and general relativity, Einstein equations, and gravitational dynamics.
General Relativity: Energy-Momentum Tensor
Covers the Schwarzschild solution, the cosmological constant, and General Relativity as an Effective Field Theory.
General Relativity: Predictions and Observations
Explores general relativity, focusing on predictions and observations, including gravitational lensing, black holes, and cosmology.
Geodesics in Schwarzschild Spacetime
Explores geodesics in Schwarzschild spacetime, circular orbits, and the perihelion advance in General Relativity.
Kruskal Coordinates: Schwarzschild Black Holes
Explores Kruskal coordinates and Schwarzschild black holes in General Relativity, including Einstein equations and cosmological constants.
Relativistic Charged Particle Dynamics
Covers the equation of motion for a relativistic charged particle and Lorentz transformations, along with tensors and electrodynamics.
Lorentz Covariant Formulation: Maxwell Equations
Covers Lorentz transformations, Maxwell equations, and charge conservation in Lorentz invariant physics.
Radiation-reaction Force: Lagrangian Formulation
Covers the radiation-reaction force, conservation of momentum, and correct force expressions.
Covariant Maxwell Equations
Covers the covariant form of Maxwell equations and properties of the field strength tensor.
Charged Particle Trajectory in Electric Field
Explores the Lorentz covariant formulation of electrodynamics and the trajectory of a charged particle in an electric field.