What is General Relativity? Lesson 68: The Einstein Tensor
What is General Relativity? Lesson 68: The Einstein Tensor The Einstein tensor defined! Using the Ricci tensor and the curvature scalar we can calculate the curvature scalar of a slice of a manifold using the Einstein tensor. Please consider supporting this channel via Patreon: https:/
From playlist What is General Relativity?
What is General Relativity? Lesson 52: Scalar Curvature Part I
What is General Relativity? Lesson 52: Scalar Curvature Part I This is the first of a few lectures about the Scalar Curvature and its interpretation. The goal is to get us to a point where we can have an interpretation of the Einstein Tensor and therefore an interpretation of the Einstein
From playlist What is General Relativity?
What is General Relativity? Lesson 54 - Scalar Curvature Part 3: Riemann Normal Coordinates
What is General Relativity? Lesson 54 -Scalar Curvature Part 3 Riemann Normal Coordinates This is the second of a few lectures about the Scalar Curvature and its interpretation. The goal is to get us to a point where we can have an interpretation of the Einstein Tensor and therefore an i
From playlist What is General Relativity?
What is General Relativity? Lesson 39: The curvature - formal introduction
What is General Relativity? Lesson 39: The curvature - formal introduction The Riemann Curvature Tensor is presented as a strictly formal object. Take note of an error captured by viewer "Endevor" in the comments. I may redo this video soon to fix it! Please consider supporting this chan
From playlist What is General Relativity?
The Maths of General Relativity (5/8) - Curvature
In this series, we build together the theory of general relativity. This fifth video focuses on the notion of curvature, and the different tensors that are used to characterize it. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked t
From playlist The Maths of General Relativity
Curvature of a Riemannian Manifold | Riemannian Geometry
In this lecture, we define the exponential mapping, the Riemannian curvature tensor, Ricci curvature tensor, and scalar curvature. The focus is on an intuitive explanation of the curvature tensors. The curvature tensor of a Riemannian metric is a very large stumbling block for many student
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Relativity 8 - the yardstick of spacetime
The final piece of the puzzle falls in place. Herman Minkowski showed that Special Relativity defines a spacetime invariant - the "proper time" - between two events. Einstein's insight into the equivalence between falling and floating allowed him to realize that this also applied to Genera
From playlist Relativity
What is General Relativity? Lesson 69: The Einstein Equation
What is General Relativity? Lesson 69: The Einstein Equation Having done so much work with the Einstein tensor, the interpretation of the Einstein equation is almost anti-climatic! The hard part is finding the Newtonian limit in order to understand the constant of proportionality between
From playlist What is General Relativity?
What is General Relativity? Lesson 66: Scalar Curvature Part 15
What is General Relativity? Lesson 66: Scalar Curvature Part 15 We FINISH our examination of Section 4.4.6 of "A Simple Introduction to Particle Physics Part II - Geometric Foundations of Relativity." Here we finally learn how the scalar curvature can be interpreted as a correction to the
From playlist What is General Relativity?
16/11/2015 - Jean-Pierre Bourguignon - General Relativity and Geometry
https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-jpbourguignon.pdf Abstract. Physics and Geometry have a long history in common, but the Theory of General Relativity, and theories it triggered, have been a great source of challenges and inspiration for geometers. It started eve
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
Generalized Geometry for String Theory - B. Zwiebach - 12/10/2013
A conference celebrating the 50th anniversary of quarks honoring Murray Gell-Mann was held at Caltech on December 9-10, 2013. For more information, visit: http://hep.caltech.edu/gm/
From playlist String Theory - Prof. Zwiebach & Susskind
Tensor Calculus Lecture 8e: The Riemann Christoffel Tensor & Gauss's Remarkable Theorem
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
The Ruelle invariant and convexity in higher dimensions - Julian Chaidez
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: The Ruelle invariant and convexity in higher dimensions Speaker: Julian Chaidez Affiliation: Member, School of Mathematics Date: June 24, 2022 I will explain how to construct the Ruelle invariant of a symplec
From playlist Mathematics
Tensor Calculus Lecture 14d: Non-hypersurfaces - Relationship Among Curvature Tensors 1
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Guoliang Yu: Higher invariants in noncommutative geometry
Talk by Guoliang Yu in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 30, 2020
From playlist Global Noncommutative Geometry Seminar (Europe)
Tensor Calculus Lecture 8c: The Curvature Tensor On The Sphere Of Radius R
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Helvi Witek - The adventures of black holes: the case of quadratic gravity - IPAM at UCLA
Recorded 7 October 2021. Helvi Witek of the University of Illinois presents "The adventures of black holes: the case of quadratic gravity" at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Abstract: With the advent of gravitational wave astronomy we are now in
From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics
Lec 22. Einstein's General Relativity and Gravitation: Student Presentations. Group 2
UCI Physics 255 Einstein's General Relativity and Gravitation (Spring 2014) Lec 22. Einstein's General Relativity and Gravitation -- Student Presentation -- Group 2 View the complete course: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html Instructor: Herbert W.
From playlist Einstein's General Relativity and Gravitation
Tensor Calculus Lecture 13b: Integration - The Divergence Theorem
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
What is General Relativity? Lesson 56 - Scalar curvature Part 5: More Riemann Normal Coordinates
What is General Relativity? Lesson 56 - Scalar curvature Part 5: More Riemann Normal Coordinates In this lecture we re-work the Riemann Normal Coordinate formalism from the point of view of a coordinate transformation and leaning on the Einstein Equivalence Principle. We also point out wh
From playlist What is General Relativity?