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Recent questions tagged metric-tensor

The metric tensor is a second rank (specifically, it is a (2,0) tensor) tensor $g_{\mu\nu}$ such that $g_{\mu\nu}=\hat e_\mu\cdot\hat e_\nu$. It therefore describes the angles between vectors. Curvature tensors can be derived from it.

This tensor is commonly used in general-relativity, where the curvature of spacetime describes the strength of gravity, in a sense. A solution to the Einstein Field Equation is a solution for the metric tensor.

The metric tensor formulation is of course, a second-order formulation. The first-order formulation uses the vielbin.

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A Kaehler-Ricci flow on functions

asked Feb 19 in Mathematics by Antoine Balan (405 points)

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0 answers 60 views

The second Kaehler-Ricci flow

asked Feb 14 in Mathematics by Antoine Balan (405 points)

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The flow of curvature

asked Feb 12 in Mathematics by Antoine Balan (405 points)

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The vector potential of a metric

asked Nov 26, 2020 in Mathematics by Antoine Balan (405 points)

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1 answer 235 views

The Einstein-Ricci flow

asked Nov 4, 2020 in Mathematics by Antoine Balan (405 points)

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1 answer 82 views

Lorentz spinor in Lorentz $\rm Spin(3,1)$ signature and the real structure?

asked Aug 3, 2020 in Theoretical Physics by annie marie heart (1,205 points)

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0 answers 100 views

The Riemann-Ricci flow

asked Jun 6, 2020 in Mathematics by Antoine Balan (405 points)

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0 answers 186 views

About a Ricci flow

asked Apr 19, 2020 in Mathematics by Antoine Balan (405 points)

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1 answer 656 views

Ricci scalar in perturbation theory

asked Jul 16, 2019 in Theoretical Physics by fermionic_tushar (40 points)

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3 answers 178 views

Why is electric field $E^i = E_i$ instead of $E^i = - E_i$?

asked May 20, 2019 in Theoretical Physics by annie marie heart (1,205 points)

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2 answers 569 views

Can I use a higher rank tensor field as the metric field?

asked Nov 28, 2016 in Theoretical Physics by Dvij D.C. (40 points)

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1 answer 395 views

Norm of Dilatation operator

asked Oct 3, 2015 in Theoretical Physics by Partha Paul (10 points)

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0 answers 146 views

How many Killing spinors exist on $S^5$?

asked Mar 8, 2015 in Theoretical Physics by leastaction (425 points)

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2 answers 1331 views

Is the metric-induced topology relevant at all in a (psuedo) Riemannian manifold?

asked Dec 5, 2014 in Mathematics by bechira (80 points)

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Symmetries of AdS$_3$, $SO(2,2)$ and $SL(2,\mathbb{R})\times SL(2,\mathbb{R})$

asked Oct 27, 2014 in Theoretical Physics by physicus (105 points)

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0 answers 1012 views

How to derive the cigar soliton solution to the Ricci flow equation?

asked Oct 8, 2014 in Mathematics by Juan Ospina (20 points)

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5 answers 4597 views

Calculating the Riemann tensor for a 3-Sphere

asked Oct 4, 2014 in Theoretical Physics by Kevin Murray (35 points)

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0 answers 611 views

Question about derivation of tensor in Di Francesco's CFT

asked Sep 12, 2014 in Theoretical Physics by CAF (100 points)

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0 answers 282 views

Why does product of Moduli and Diff x Weyl Variation vanish?

asked Aug 27, 2014 in Theoretical Physics by sol0invictus (45 points)

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0 answers 110 views

Using Polyakov-Alvarez Anomaly Formula

asked Aug 15, 2014 in Theoretical Physics by AndyCee (10 points)

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Recent questions tagged metric-tensor