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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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2 answers 277 views

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

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

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1 answer 237 views

Norm of Dilatation operator

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

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0 answers 52 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 605 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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0 answers 331 views

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 881 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 577 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 400 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 177 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 18 views

Using Polyakov-Alvarez Anomaly Formula

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

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0 answers 167 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 976 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 102 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 557 views

Sign convention with the $AdS$ metric

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

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1 answer 2124 views

Why is the Taub-NUT instanton singular at $\theta=\pi$?

asked Jun 25, 2014 in Theoretical Physics by Dmitry hand me the Kalashnikov (730 points)

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1 answer 175 views

Metric $f(R)$ Instability

asked Apr 13, 2014 in Theoretical Physics by user38032 (10 points)

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4 answers 750 views

The Lagrangian as a metric

asked Mar 30, 2014 in Theoretical Physics by Nathaniel (495 points)

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0 answers 29 views

Some hints for special case of metric tensor in GR

asked Nov 22, 2013 in Theoretical Physics by Andrew McAddams (340 points)

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0 answers 6097 views

How to prove that Weyl tensor is invariant under conformal transformations?

asked Nov 21, 2013 in Theoretical Physics by Andrew McAddams (340 points)

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2 answers 336 views

Infinitesimal Lorentz transformation is antisymmetric

asked Nov 21, 2013 in Theoretical Physics by user82235 (35 points)

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Recent questions tagged metric-tensor