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Recent questions tagged metric-tensor

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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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+ 0 like - 0 dislike
0 answers 1215 views
The scalar curvature flow
asked May 20, 2022 in Mathematics by Antoine Balan (-80 points)
+ 0 like - 1 dislike
0 answers 1019 views
Coupled Ricci flow
asked Feb 13, 2022 in Mathematics by Antoine Balan (-80 points)
+ 0 like - 1 dislike
2 answers 2778 views
Potential function of a metric
asked Nov 21, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1234 views
A Ricci flow with a vector field
asked Nov 11, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1161 views
A scalar Ricci flow
asked Oct 15, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1143 views
The positiv Ricci flow
asked Oct 12, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1208 views
Diffeomorphisms and Ricci flow
asked Oct 2, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1318 views
The LCK-Ricci flow
asked Jun 29, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1659 views
The Yamabe flow
asked Jun 28, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1094 views
A Kaehler-Ricci flow on functions
asked Feb 19, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1344 views
The second Kaehler-Ricci flow
asked Feb 14, 2021 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
0 answers 1437 views
The flow of curvature
asked Feb 12, 2021 in Mathematics by Antoine Balan (-80 points)
+ 2 like - 1 dislike
0 answers 1417 views
The vector potential of a metric
asked Nov 26, 2020 in Mathematics by Antoine Balan (-80 points)
+ 1 like - 1 dislike
1 answer 3221 views
The Einstein-Ricci flow
asked Nov 4, 2020 in Mathematics by Antoine Balan (-80 points)
+ 7 like - 0 dislike
2 answers 11531 views
Dimensional analysis of metric tensor
asked Jun 19, 2017 in Theoretical Physics by XXDD (35 points)
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