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Stress–energy–momentum pseudotensor
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Einstein Equations
Covers the derivation of Einstein equations and the Schwarzschild metric.
Black Holes: Redshift and Gravitational Waves
Delves into black holes, redshift, and gravitational waves, exploring their properties and behaviors in different spacetime dimensions.
General Relativity: Energy-Momentum Tensor
Covers the Schwarzschild solution, the cosmological constant, and General Relativity as an Effective Field Theory.
Linearized Gravity: Perturbation Theory
Covers linearized gravity, perturbation theory, Einstein equations, and gravitational waves.
Gravity Equations
Covers the equations of gravity without matter, focusing on the curvature of space-time and the Noether theorem.
Geodesics in Schwarzschild Spacetime
Explores geodesics in Schwarzschild spacetime, circular orbits, and the perihelion advance in General Relativity.
Central Force Motion: Conservation of Angular Momentum
Explores central force motion and the conservation of angular momentum in dynamic systems, with practical applications in orbital calculations.
Collisionless Systems Stability
Explores collisionless systems stability, covering the Virial Equation, Equilibria, Moments of the Collisionless Boltzmann Equation, and the origin of instability.
Gravitation and Angular Momentum
Covers conservation of angular momentum, gravitational fields, Kepler's movements, and Newton's law of gravity.
Universal Gravitation: Kepler's Laws and Newton's Insights
Explores central force, angular momentum, Kepler's laws, Newton's gravitation, and the dynamics of planetary motion.
Gravitational Waves: Observations and Implications
Explores the detection of gravitational waves, focusing on the first observation of a binary black hole merger and its implications for astrophysics.
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