General Relativity

Einstein's Masterpiece: Gravity is the curvature of spacetime. Mass-energy tells spacetime how to curve, and spacetime tells mass-energy how to move.

Video Lectures

96 videos covering General Relativity — from introductions to advanced field equations

Curated from eigenchris, Physics for Students, and more

1Introduction & History of General Relativity(11 videos)

Introduction to General Relativity

Introduction

Introduction to General Relativity for Beginners

Introduction

General Relativity Introduction — Lecture

Introduction

General Relativity for Beginners — Lecture Series

Beginners

General Relativity for Beginners — General Theory

Beginners

History of General Relativity

History

History of General Relativity — How GR Was Discovered

History

How to Learn General Relativity

Study Guide

How to Learn & Understand General Relativity

Study Guide

How to Learn General Relativity — Roadmap

Study Guide

Leonard Susskind on General Relativity

Susskind

2Special Relativity & Minkowski Space(4 videos)

Special Theory of Relativity — Lecture

Special Relativity

General Relativity — From Special Relativity to Field Equations

Special Relativity

Minkowski Space & Spacetime Explained — Light Cone

Minkowski Space

Time Dilation Explained — Why Time Slows Down

Time Dilation

3Tensor Calculus & Differential Geometry(4 videos)

Tensor Calculus for General Relativity

Tensor Calculus

Tensor Calculus — Metric Tensor & Cylindrical Coordinates

Metric Tensor

Metric Tensor — What Is a Metric Tensor in GR

Metric Tensor

Christoffel Symbols — General Relativity Lecture

Christoffel Symbols

4Curvature — Ricci Tensor & Riemann Tensor(4 videos)

Ricci Tensor, Ricci Scalar, Stress Energy & Einstein Tensor

Curvature Tensors

Ricci Tensor & Stress Energy Tensor — Detailed Lecture

Curvature Tensors

Ricci Curvature Tensor & Einstein Field Equations

Ricci Tensor

Ricci Curvature Tensor — General Relativity Lecture

Ricci Tensor

5Geodesics & How Gravity Bends Light(4 videos)

Geodesics — Einstein Field Equations Explained

Geodesics

Geodesics in General Relativity

Geodesics

How Gravity Bends Light — General Relativity Lecture

Light Bending

How Gravity Affects the Path of Light

Light Bending

6Einstein Field Equations(9 videos)

What Is a Field Equation — Classical Fields & Path Integral

Field Equations

Einstein Field Equation Explained — For Beginners

EFE Explained

Einstein Field Equations Explained

EFE Explained

Einstein Field Equations — General Theory

EFE

Einstein Field Equations — Detailed Explanation

EFE

Einstein Field Equations — Advanced

EFE

General Relativity & Field Equations Explained

EFE

General Relativity Math — Einstein Field Equations

EFE Math

General Relativity Mathematics Explained

GR Math

7Einstein-Hilbert Action(1 videos)

Einstein-Hilbert Action Explanation

EH Action

8Black Holes(1 videos)

What Is a Black Hole — General Relativity Lecture

Black Holes

9General Relativity & Quantum Mechanics(1 videos)

General Relativity and Quantum Mechanics

GR & QM

10Full Lecture Series(6 videos)

General Relativity Lecture — Field Equations (Part 1)

Lecture Series

General Relativity Lecture — Field Equations (Part 2)

Lecture Series

General Theory of Relativity — Full Lecture

Lecture Series

General Theory of Relativity — Explained

Lecture Series

General Theory of Relativity — Lecture Series

Lecture Series

General Theory of Relativity — Lecture

Lecture Series

11Relativity by eigenchris — Galilean & Special Relativity(15 videos)

Relativity 101a: Introduction to Galilean Relativity

Galilean Relativity

Relativity 101b: Introduction to Special Relativity

Special Relativity

Relativity 102a: Keys to Relativity Math — Invariance

Math Foundations

Relativity 102b: Keys to Relativity — Covariance and Contravariance

Math Foundations

Relativity 103a: Galilean Relativity — Spacetime Diagrams

Spacetime Diagrams

Relativity 103b: Galilean Relativity — Spacetime Separation Vector

Spacetime Intervals

Relativity 103c: Galilean Relativity — Galilean Transform & Covariance

Galilean Transform

Relativity 103d: Galilean Relativity — Euclidean Metric Tensor

Metric Tensor

Relativity 103e: Galilean Relativity — Problems with Galilean Relativity

Galilean Problems

Relativity 104a: Special Relativity — Lorentz Transform Geometry

Lorentz Transform

Relativity 104b: Special Relativity — Lorentz Transform Equations

Lorentz Transform

Relativity 104c: Special Relativity — Time Dilation & Length Contraction

Time Dilation

Relativity 104d: Special Relativity — Velocity Addition & Simultaneity

Velocity Addition

Relativity 104e: Special Relativity — Spacetime Interval & Minkowski Metric

Minkowski Metric

Relativity 104f: Special Relativity — Relativistic Dynamics & 4-Vectors (E=mc²)

4-Vectors

12Relativity by eigenchris — Acceleration & Rindler Coordinates(7 videos)

Relativity 105a: Hyperbolic Motion and Rindler Horizon

Rindler Coordinates

Relativity 105b: Bell's Spaceship Paradox & Rindler Coordinates

Rindler Coordinates

Relativity 105c: The Jacobian — Changing Basis in Curvilinear Coordinates

Jacobian

Relativity 105d: Twin Paradox & Proper Time Along Curves (Rindler Metric)

Twin Paradox

Relativity 105e: Covariant Derivative in Flat Spacetime (Rindler)

Covariant Derivative

Relativity 105f: Geodesics & Curved Light Beams (Rindler Coordinates)

Geodesics

Relativity 106a: Frequency Wave Covectors & Doppler Shift

Covectors

13Relativity by eigenchris — General Relativity Basics(6 videos)

Relativity 107a: GR Basics — Equivalence Principle & Acceleration

Equivalence Principle

Relativity 107b: GR Basics — Manifolds, Covariant Derivative, Geodesics

Manifolds

Relativity 107c: GR Basics — Curvature, Riemann, Ricci Tensor, Ricci Scalar

Curvature

Relativity 107d: GR Basics — Curved Spacetime for Newtonian Gravity

Newtonian Limit

Relativity 107e: GR Basics — Stress-Energy-Momentum Tensor

Stress-Energy Tensor

Relativity 107f: GR Basics — Einstein Field Equation Derivation

EFE Derivation

14Relativity by eigenchris — Schwarzschild Metric & Black Holes(5 videos)

Relativity 108a: Schwarzschild Metric — Derivation

Schwarzschild

Relativity 108b: Schwarzschild Metric — Gravitational Time Dilation, Event Horizon

Event Horizon

Relativity 108c: Schwarzschild Geodesics — Mercury Perihelion, Photon Sphere

Geodesics

Relativity 108d: Schwarzschild — Eddington-Finkelstein, Kruskal-Szekeres

Coordinates

Relativity 108e: Schwarzschild — Gravitational Redshift/Blueshift

Redshift

15Relativity by eigenchris — Gravitational Waves(5 videos)

Relativity 109a: Gravitational Waves — Introduction (LIGO, Wave Equation)

GW Introduction

Relativity 109b: Gravitational Waves — Linearized / Weak Gravity

Linearized Gravity

Relativity 109c: Gravitational Waves — Wave Derivation (Lorenz Gauge)

Wave Derivation

Relativity 109d: Gravitational Waves — TT Gauge (Plus & Cross Polarizations)

Polarizations

Relativity 109e: Gravitational Waves — How GWs Affect Particles (Geodesic Deviation)

Geodesic Deviation

16Relativity by eigenchris — Cosmology(6 videos)

Relativity 110a: Cosmology — Introduction to Modern Cosmology

Introduction

Relativity 110b: Cosmology — FLRW Metric Derivation (3 Geometries)

FLRW Metric

Relativity 110c: Cosmology — FLRW Tensor/Coefficient Derivations

FLRW Tensors

Relativity 110d: Cosmology — FLRW Geodesics, Redshift, Horizons, Comoving

Cosmological Redshift

Relativity 110e: Cosmology — Perfect Fluids, Equation of State

Perfect Fluids

Relativity 110f: Cosmology — Friedmann Equations & Universe Evolution (FINALE)

Friedmann Equations

17En français(7 videos)

Pourquoi la gravité n’est pas une force

Gravité

Calcul tensoriel pour la relativité générale

Calcul tensoriel

Introduction à la relativité générale

Introduction

Théorie de la relativité générale — Cours 1

Cours

Théorie de la relativité générale — Cours 2

Cours

Explication de l’action d’Einstein-Hilbert

Action EH

Explication des trous noirs — Relativité générale

Trous noirs