Curvature tutorials, questions, and resources

The Sun as a gravitational lens

August 1st, 2022

gravity general-relativity curvature sun visible-light

In the static spacetime, the extrinsic curvature of hypersurface $t=constant$ is zero

August 1st, 2022

curvature differential-geometry general-relativity homework-and-exercises

Why is Minkowski spacetime in polar coordinates treated in texts as flat spacetime?

June 27th, 2020

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Does time dilation cause gravity as explained in this video?

August 13th, 2022

general-relativity spacetime gravity curvature

What is the qualitative difference in the information contained by Gaussian curvature and Riemann curvature tensor in General Relativity?

August 1st, 2022

general-relativity curvature differential-geometry

Curved space-time VS change of coordinates in Minkowski space

November 23rd, 2020

differential-geometry coordinate-systems curvature equivalence-principle general-relativity

Derivation of expression for Berry curvature

July 17th, 2020

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How can I vizualize and understand curved spaces in general relativity?

February 27th, 2020

general-relativity visualization curvature spacetime

Hodge star operator on curvature?

April 17th, 2022

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Difference between $\partial$ and $\nabla$ in general relativity

June 6th, 2020

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Earth curvature refraction for dummies

August 1st, 2022

refraction curvature

Gravitons and general relativity

August 1st, 2022

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Can anyone explain me how time can bend according to Einstein in simple way?

July 3rd, 2020

gravity general-relativity curvature spacetime

Riemann tensor in 2d and 3d

September 21st, 2020

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Why does the FLRW metric assume constant curvature?

March 10th, 2020

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Is the scalar curvature of the Schwarzschild solution 0?

June 11th, 2020

general-relativity black-holes differential-geometry curvature

How warped spacetime bends trajectories of light and moving objects?

January 16th, 2020

geodesics spacetime gravity general-relativity curvature

Surely space-time Curvature does not explain gravity, it just describe its effects?

August 1st, 2022

spacetime equivalence-principle general-relativity gravity curvature

Exterior (covariant) derivatives and electromagnetism

August 1st, 2022

curvature maxwell-equations differential-geometry general-relativity electromagnetism

Ricci tensor given through the metric

August 1st, 2022

general-relativity differential-geometry resource-recommendations curvature tensor-calculus

Visualizing gravity in 3D

December 30th, 2020

visualization curvature spacetime gravity

What does it mean for objects to follow the curvature of space?

January 22nd, 2020

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Triple-right triangle experiment: what's the minimum distance?

December 27th, 2020

geometry earth differential-geometry curvature

Why doesn't planet Earth expand if I accelerate upwards when standing on its surface?

January 2nd, 2021

curvature general-relativity spacetime planets

Why doesn't Einstein's general theory of relativity seem to work on Earth?

August 9th, 2022

gravity spacetime curvature earth general-relativity

Is the deformation of spacetime, elastic deformation or plastic deformation?

August 16th, 2022

curvature general-relativity spacetime

Why Can We Observe Space Curvature / Warping At All?

May 12th, 2020

warp-drives curvature space general-relativity

How to prove that a flat spacetime admits Minkowski coordinates?

March 5th, 2020

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What is the variation of Gauss-Bonnet term a total derivative of?

August 1st, 2022

curvature general-relativity

General Relativity: is Tangent Space Always Flat?

August 1st, 2022

general-relativity spacetime metric-tensor curvature

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