General Relativity Courses and Certifications

Centrum Fizyki Teoretycznej PAN

Gravitational Physics: From Frequency Shifts to Gravitational Waves - Lecture 12

Explore advanced concepts in gravitational physics, including linearized gravity, energy conservation, frequency shift, and gravitational waves. Gain insights into equations of motion and light deflection.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Christoffel Symbols, Linearized Gravity, and Newtonian Approximation - Lecture 11

Explore linearized gravity and Newtonian approximation in general relativity, with problem-solving sessions and corrections to previous material.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Riemann Tensor, Geodesic Deviation Equation, and Einstein Equations - Lecture 10

Explore advanced general relativity concepts: Riemann tensor, geodesic deviation equation, Einstein equations, cosmological constant, and linearized gravity in this graduate-level lecture.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Coordinate Transformations, Connection, and Pseudo-Riemannian Manifolds - Lecture 6

Explore advanced concepts in relativistic physics, including velocity addition, time dilation, coordinate transformations, and pseudo-Riemannian manifolds.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

General Relativistic Approaches to Modeling Large-Scale Structure Formation

Explore relativistic approaches to model large-scale structure formation, focusing on exact solutions and the relativistic Zeldovich approximation. Enhance understanding of curvature and relativistic corrections in cosmic structures.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes - Part 3

Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including mathematical foundations and applications in geometry and gravity theories.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes - Part 2

Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including mathematical foundations and applications in geometry and gravity theories.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Cartan-Karlhede Algorithm and Cartan Invariants for Spacetimes

Explore the Cartan-Karlhede algorithm for classifying spacetime solutions in General Relativity, including its mathematical foundations and applications in geometry and gravity theories.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Fields Institute

Trading Linearity for Ellipticity: A Nonsmooth Approach to Einstein's Theory of Gravity and the Lorentzian Splitting Theorems

Explore nonsmooth approaches to Einstein's gravity theory and Lorentzian splitting theorems, focusing on trading linearity for ellipticity in geometric analysis.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Harvard CMSA

Positive Mass Theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds

Delve into the positive mass theorem for toric 4-manifolds, exploring refinements to this fundamental conjecture in mathematical relativity and examining proofs that extend to higher dimensions with additional assumptions.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Galileo Galilei Institute (GGI)

Asymptotic Symmetries - Lecture 2

Delve into the second lecture on asymptotic symmetries with Simone Speziale, exploring advanced concepts in this mathematical physics topic.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

Galileo Galilei Institute (GGI)

Asymptotic Symmetries - Lecture 1

Explore the fundamental concepts of asymptotic symmetries in this comprehensive first lecture by Simone Speziale at the Galileo Galilei Institute.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Harvard CMSA

Hyperbolic Equations in a Double Null Gauge

Explore the hyperbolic nature of Einstein equations in a double null gauge, focusing on its advantages for quantitative analysis, including reducing equations to ODEs along null curves and Bianchi equations to first-order hyperbolic systems.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Null and Timelike Circular Orbits: Insights from Effective 2D Metrics

Explore how spacetime symmetries enable mapping 4D geodesics to lower dimensions, examining circular orbits around black holes and their stability in strong gravitational fields.

• YouTube
• 25 minutes
• On-Demand
• Free Video

IPhT-TV

Aspects of Black Holes Perturbation Theory - Lecture 4

Delve into advanced black hole perturbation theory through detailed mathematical analysis and theoretical frameworks, exploring gravitational dynamics and spacetime properties.

• YouTube
• 2 hours 2 minutes
• On-Demand
• Free Video