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Differentiating a function of a variable with respect to the variable's derivative

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#calculus #differential-geometry #calculus-of-variations #general-relativity
49
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Inverse metric in the perturbative approach of General Relativity

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#general-relativity
319
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What is the time derivative of the relativistic kinetic energy?

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#general-relativity #electromagnetism
387
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How can we prove that no single chart can cover the Moebius strip but that two suffice?

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#general-relativity
589
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Exercise 15, chapter 9 of O'Neill's "Semi-Riemannian geometry"

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#differential-geometry #general-relativity
40
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what does this derivative notation mean in General Relativity?

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#notation #general-relativity
92
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Three dimensional curved space-time

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#geometry #general-relativity
305
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Flat s-t 4d Killing vectors via solving Killing equation

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#ordinary-differential-equations #special-functions #symmetry #general-relativity
202
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Schwarzschild in 5d

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#tensor-products #tensors #mathematical-modeling #symmetry #general-relativity
123
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crumbled paper is Eucleadian or non Euclidean?

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#differential-geometry #euclidean-geometry #riemannian-geometry #hyperbolic-geometry #general-relativity
2k
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What does it mean intuitively for a metric and connection to be compatible?

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#differential-geometry #riemannian-geometry #intuition #general-relativity #connections
248
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Inertial frames: from General Relativity to Special Relativity

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#smooth-manifolds #general-relativity #semi-riemannian-geometry
575
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Metric tensor vs metric space.

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#differential-geometry #riemannian-geometry #tensors #general-relativity #special-relativity
3.2k
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Covariant derivative of a $(1,1)$ tensor field

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#differential-geometry #tensors #general-relativity #connections
85
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How to develop Einstein field equations for spherical symmetry space time?

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#riemannian-geometry #general-relativity #special-relativity

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