Articles containing proofs | Geodesic (mathematics)

Geodesics in general relativity

In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from all external, non-gravitational forces is a particular type of geodesic. In other words, a freely moving or falling particle always moves along a geodesic. In general relativity, gravity can be regarded as not a force but a consequence of a curved spacetime geometry where the source of curvature is the stress–energy tensor (representing matter, for instance). Thus, for example, the path of a planet orbiting a star is the projection of a geodesic of the curved four-dimensional (4-D) spacetime geometry around the star onto three-dimensional (3-D) space. (Wikipedia).

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The Maths of General Relativity (3/8) - Geodesics

In this series, we build together the theory of general relativity. This third video focuses on the notions of geodesics, Christoffel symbols, and the geodesic equation. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video,

From playlist The Maths of General Relativity

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What is General Relativity? Lesson 18: The Geodesic Equation Part 1

Lesson 18: The Geodesic Equation Part 1 We derive the geodesic equation from a mathematical point of view beginning with a manifold, a curve, a connection, and a parameterization of the curve. Check out the forums at http://xylyxylyx.freeforums.net/ and the Patreon page at https://www.

From playlist What is General Relativity?

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What is general relativity?

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From playlist Science Unplugged: General Relativity

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What is General Relativity? Lesson 3: Geodesics and the Equivalence Principle

Geodesics and the Equivalence Principle It is important to note that I forgot to square most of the usages "d\tau". Take note that usually I should be writing "d\tau^2" instead of "d\tau". Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discus

From playlist What is General Relativity?

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What is General Relativity? Lesson 20: Geodesic Equation Part 3

What is General Relativity? Lesson 20: Geodesic Equation Part 3 In this lesson we examine the development of the geodesic equation from a variational principle using the Euler-Lagrange equation. Our exposition mimics that of DInverno "Introduction to Einstein's Relativity" page 99. Errat

From playlist What is General Relativity?

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General Relativity to Quantum gravity (Intro for dummies?)

Support me on Patreon: https://www.patreon.com/quahntasy A brief introduction to Newtonian Gravity(or Gravity for dummies) ,General Relativity and Quantum gravity (Loop Quantum gravity). The whole idea of general relativity is that matter influence spacetime curvature. Incorporating this i

From playlist Gravity

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The Maths of General Relativity (1/8) - Spacetime and Worldlines

In this series, we build together the theory of general relativity. This first video focuses on the notions of worldline, proper time, and coordinate systems. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video, you can sha

From playlist The Maths of General Relativity

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What is General Relativity? The Geodesics of Schwarzschild spacetime Part 3

What is General Relativity? Lesson 24: The Geodesics of Schwarzschild spacetime Part 3 In this lesson we continue to manipulate the differential equations for the trajectory of a freely falling particle in the Schwarzschild spacetime. Check out the forums at http://xylyxylyx.freeforums.n

From playlist What is General Relativity?

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How Einstein Uncovered the Path a Particle Traces Through Spacetime!

In Einstein's theory of gravity, general relativity, massive objects like stars warp the geometry of spacetime. Then a particle travels along the straightest and shortest path that it can through spacetime, called a geodesic. Get the notes for free here: https://courses.physicswithelliot.c

From playlist Lagrangian Mechanics Sequence

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What is General Relativity? Lesson 44: Geodesic Deviation Part I

What is General Relativity? Lesson 44: Geodesic Deviation Part I A second way to understand the curvature tensor is by examining how nearby geodesics accelerate away from or towards each other. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and

From playlist What is General Relativity?

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What is General Relativity? Lesson 17: The Torsion Ansatz

We superficially explore the significance of the zero torsion ansatz.

From playlist What is General Relativity?

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What is General Relativity? Lesson 0 and Lesson 75: Invitation and Recap

What is General Relativity? Lesson 0 and Lesson 75: Invitation and Recap This lesson is for those considering watching some or all of "What is General Relativity?" and for those who have finished some or all of the lesson. It is an invitation to the subject and also a recap of the subject

From playlist What is General Relativity?

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Why Do Things REALLY Fall? (with General Relativity)

In classical physics, gravity is a force that pulls objects toward the center of the Earth. In general relativity, gravity is the result of curved spacetime and geodesics, but what exactly does that mean? ________________________________ VIDEO ANNOTATIONS/CARDS Relativity & Gravity - The

From playlist Gravity as Spacetime Curvature

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Sometimes The Shortest Distance Between Two Points is NOT a Straight Line: GEODESICS by Parth G

What happens when the shortest distance between two points is NOT a straight line, and exactly what is a geodesic? Hey everyone, in this video we'll be looking at how the surface we happen to be studying impacts the definition of the "shortest" distance between two points on that surface.

From playlist Relativity by Parth G

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Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L5) by Sunil Mukhi

Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh

From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023

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Physics - Mechanics: Gravity (15 of 20) What is Geosynchronous Orbit?

Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to calculate the height for a satellite at geosynchronous orbit.

From playlist PHYSICS 18 GRAVITY

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The Surprisingly Subtle Limits of General Relativity

Discover how Einstein's general theory of relativity spans the cosmic spectrum from planetary orbits to black holes! Sponsored by Babbel 🎉: Start speaking a new language in 3 weeks. Get up to 65% OFF your subscription ▶️ HERE: https://go.babbel.com/12m65-youtube-physicswithelliot-may-2022/

From playlist Gravity Sequence

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Beauty of Geodesics

Straight Lines in Curved Space explained and visualized. Useful for the four dimensional space-time of Einstein’s General Relativity. My Patreon page is at https://www.patreon.com/EugeneK

From playlist Physics

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What is General Relativity? Lesson 22: The geodesics of the Schwarzschild spacetime

What is General Relativity? Lesson 22: The geodesics of the Schwarzschild spacetime. In this first lesson of a series we discover the geodesic equations of a spherically symmetric spacetime. I catch a factor of two error in the first geodesic equation when I work on the third geodesic eq

From playlist What is General Relativity?

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Einstein's General Theory of Relativity | Lecture 6

Lecture 6 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded October 27, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phys

From playlist Lecture Collection | Modern Physics: Einstein's Theory

Related pages

Action (physics) | Gravitational singularity | Euler–Lagrange equation | Chain rule | Albert Einstein | Hamilton's principle | Tensor contraction | Calculus of variations | Schwarzschild geodesics | Triple bar | Levi-Civita connection | Geodesics as Hamiltonian flows | Minkowski space | Christoffel symbols | Geodesic | Stationary-action principle | Stress–energy tensor | Metric tensor | Ricci curvature | Parallel transport | Einstein notation | Line element | Lorentz force | Affine connection | Invertible matrix