Concept

Introduction to the mathematics of general relativity

Related lectures (16)

Explores the energy-momentum tensor in the context of Maxwell's equations and Lorentz force.

Gravity and Geometry: Exploring Einstein's Equations

Explores general relativity, Einstein's field equations, AdS instability, and the collapse of perturbations into black holes.

Schwarzschild Metric: General Relativity

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

General Relativity: Energy-Momentum Tensor

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

Special and General Relativity

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Testing General Relativity with Cosmology

Explores Testing General Relativity with Cosmology, covering topics like the curvature tensor, teleparallelism, and black holes in f(Q).

General Relativity: Predictions and Observations

Explores general relativity, focusing on predictions and observations, including gravitational lensing, black holes, and cosmology.

Proper Time: Lorentz Transformations

Explores worldlines, Lorentz transformations, proper time intervals, and inertial reference frames in relativistic physics.

Kruskal Coordinates: Schwarzschild Black Holes

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

Linear Shell Theory in Mechanics of Slender Structures

Explores linear shell theory in analyzing spherical shell behavior under pressure loading and membrane forces.

General Relativity: Einstein Equations

Introduces the Einstein-Hilbert action and discusses the generalization of gravitational field equations.

Lorentz-Minkowski Spacetime

Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.

Geodesics in Schwarzschild Spacetime

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

Applications of Physics: Kinematics and Dynamics

Emphasizes applying physics concepts to solve problems and covers gravitational fields and space-time curvature.

Special and General Relativity

Covers special and general relativity, discussing Maxwell's equations, Lorentz symmetries, Minkowski space, and the influence of matter on space-time geometry.

Cosmology and the Milky Way: An Overview

Covers the standard model in cosmology and the structure of the Milky Way, including dark matter and galaxy formation.