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Schwarzschild coordinates
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Schwarzschild Metric: General Relativity
Explores the Schwarzschild metric in General Relativity, focusing on singularities and spherically symmetric solutions.
Energy Momentum Tensor: Derivation and Conservation
Explores the derivation and conservation of the energy momentum tensor for point particles, including the impact of electromagnetic fields and the Schwarzschild metric.
Deflection of Light: Observations and Methods
Explores the deflection of light by gravity and methods for studying matter distribution.
Einstein's Equations: Relativistic Mechanics
Covers Einstein's equations in non-relativistic limit and the Schwarzschild metric.
Geodesics in Schwarzschild Spacetime
Explores geodesics in Schwarzschild spacetime, circular orbits, and the perihelion advance in General Relativity.
General Relativity: Energy-Momentum Tensor
Covers the Schwarzschild solution, the cosmological constant, and General Relativity as an Effective Field Theory.
Penrose Diagrams: Spacetime Visualization
Explores Penrose diagrams for visualizing black hole spacetime, emphasizing the eternal nature of black holes formed by gravitational collapse.
Kruskal Coordinates: Schwarzschild Black Holes
Explores Kruskal coordinates and Schwarzschild black holes in General Relativity, including Einstein equations and cosmological constants.
Einstein Equations
Covers the derivation of Einstein equations and the Schwarzschild metric.
Static Isotropic Metric
Explores static isotropic metric properties and equations in physics, focusing on the behavior outside the gravitational field.
Spherically Symmetric Metrics
Explores spherically symmetric metrics in flat space and their implications in gravity and spacetime.
Gravity and Geometry: Exploring Einstein's Equations
Explores general relativity, Einstein's field equations, AdS instability, and the collapse of perturbations into black holes.
Lorentz Transformations in Special Relativity
Explores Lorentz transformations in special relativity, discussing events, coordinates, light signals, and speed equivalence.
Galilean Transformations
Explores Galilean relativity, transformations between inertial coordinate systems, synchronized clocks, and visualizing motion in four-dimensional space-time.
Holography in Classical Gravity
Explores hints of holography in classical black hole thermodynamics.
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