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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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The vector potential of a metric

asked 3 days ago in Mathematics by Antoine Balan (280 points)

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1 answer 85 views

The Einstein-Ricci flow

asked Nov 4 in Mathematics by Antoine Balan (280 points)

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The Riemann-Ricci flow

asked Jun 6 in Mathematics by Antoine Balan (280 points)

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About a Ricci flow

asked Apr 19 in Mathematics by Antoine Balan (280 points)

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1 answer 425 views

Ricci scalar in perturbation theory

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

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3 answers 54 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 (545 points)

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2 answers 452 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 343 views

Norm of Dilatation operator

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

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0 answers 118 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 1242 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 954 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 3477 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 532 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 240 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 74 views

Using Polyakov-Alvarez Anomaly Formula

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

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0 answers 403 views

How to test that a flat metric represents a global three-torus geometry

asked Aug 12, 2014 in Theoretical Physics by Victor Vahidi Motti (20 points)

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0 answers 1014 views

Radial Null Geodesics in Static Maximally Symmetric DeSitter Space

asked Aug 9, 2014 in Theoretical Physics by TylerHG (10 points)

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1 answer 182 views

CFT Entanglement Entropy - relation between translations and the stress-energy tensor

asked Jul 31, 2014 in Theoretical Physics by john mangual (310 points)

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2 answers 631 views

Sign convention with the $AdS$ metric

asked Jun 27, 2014 in Theoretical Physics by user6818 (960 points)

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Recent questions tagged metric-tensor