Lectures related to Schwarzschild metric

Schwarzschild Metric: General Relativity

Explores the Schwarzschild metric in General Relativity, focusing on singularities and spherically symmetric solutions.

Kruskal Coordinates: Schwarzschild Black Holes

Explores Kruskal coordinates and Schwarzschild black holes in General Relativity, including Einstein equations and cosmological constants.

Geodesics in Schwarzschild Spacetime

Explores geodesics in Schwarzschild spacetime, circular orbits, and the perihelion advance in General Relativity.

Einstein's Equations: Relativistic Mechanics

Covers Einstein's equations in non-relativistic limit and the Schwarzschild metric.

Einstein Equations

Covers the derivation of Einstein equations and the Schwarzschild metric.

Deflection of Light: Observations and Methods

Explores the deflection of light by gravity and methods for studying matter distribution.

Holography in Classical Gravity

Explores hints of holography in classical black hole thermodynamics.

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.

General Relativity: Energy-Momentum Tensor

Covers the Schwarzschild solution, the cosmological constant, and General Relativity as an Effective Field Theory.

Gravitational Red-Shift and Escape Velocity

Covers the discovery of integrals of motion and the analysis of escape velocity and gravitational red-shift.

Gravitational Redshift & Black Holes

Explains gravitational redshift, perihelion advance, and Schwarzschild black holes.

Static Isotropic Metric

Explores static isotropic metric properties and equations in physics, focusing on the behavior outside the gravitational field.

Penrose Diagrams: Spacetime Visualization

Explores Penrose diagrams for visualizing black hole spacetime, emphasizing the eternal nature of black holes formed by gravitational collapse.

Advanced Physics I

Covers an introduction to physics, mechanics, measurements, and kinematics of point particles.

Gravitational Waves

Explores gravitational waves, black hole properties, and their implications in astrophysics.

Introduction to Partial Differential Equations

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Mahler's Symphonies: Structure and Meaning

Explores Gustav Mahler's symphonies, focusing on his unique style and the conceptual depth of specific works.

Sphere, Cone, and Paraboloid

Explores the intersection of a sphere, cone, and paraboloid in 3D space.

Hodge Duality and Covariant Derivatives

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Large N CFT: AdS/CFT Correspondence

Discusses the AdS/CFT correspondence and its implications for Large N CFT.