As @Holographer has mentioned in a comment, the correct formula for the stress-tensor that enters the EFE is Tμν=2−g−−−√δSmatterδgμνTμν=2−gδSmatterδgμν whereas what you are computing is the canonical stress energy tensor. However, there is a subtle relation...
Consider the stress-energy tensor operator introduced in Eq. (1.15) of Chapter 1. As pointed out therein, this object is obtained via second-quantization of a classical formula for the stress-energy tensor [18, 30, 33, 115], which we review in the present appendix for completeness…...
Strain tensor Stress-energy tensor Stress-strain curve Stress concentration Von Mises stress Yield stress Yield surface Books Dieter, G. E. (3 ed.). (1989). Mechanical Metallurgy. New York: McGraw-Hill. ISBN 0-07-100406-8. Love, A. E. H. (4 ed.). (1944). Treatise on...
Senu2019s recent formula for the change in the stress tensor and show that, when correctly interpreted, it is coordinate-invariant. We give the corresponding superconformal perturbation for superfield backgrounds and explain why it has no direct analog for spin-field backgrounds....
Sardanashvily, Stress-energy-momentum tensors in Lagrangian field theory. Part 1. Superpotentials, arXiv: gr-qc/ 9510061.Giachetta, G., and Sardanashvily, G., "Stress-Energy-Momentum Tensors in Lagrangian Field Theory. Part 2. Gravitational Superpotential", (1995). URL (cited on 29 ...
Thestress-energy tensorfieldis a symmetric 2 by 2 complex matrix valued field defined indirectly through the formal variation of the (inverse of the) metric at a pointin the correlation function (1.1) (the precise definition can be found in Sect.3.2): ...
This tensor satisfies the typical properties of a stress-energy-momentum tensor: Diff(X)-covariance, Hilbert formula, conservation law, etc. Furthermore, it plays the expected role in the theory of minimal gravitational interactions. 展开
We deduce relations between different stress-energy tensors, discuss growth formulae and harmonic maps between spheres. 关键词: Theoretical or Mathematical/ geometry tensors variational techniques/ stress-energy tensors Lichnerowicz Laplacian variational problem divergence-free symmetric 2-tensor Ricci ...
stress tensortangential pressure deficitplanar liquid-vapour interfaceforce-force correlation functionsdirect correlation functionFowler's formulasurface tension/ A6810C Fluid surface energy (surface tension, interface tension, angle of contact, etc.)
A work-around I tried was to simply make my own strain rate tensor, E, using a symmetric tensor field function. The formula is E = 1/2 (∇V + ∇V^T), where ∇V is the divergent of the velocity vector and ∇V^T is its transpose. The problem I then ran into is that I...