stress tensor

(redirected from Energy-momentum tensor)

stress tensor

[′stres ‚ten·sər]
(mechanics)
A second-rank tensor whose components are stresses exerted across surfaces perpendicular to the coordinate directions.
References in periodicals archive ?
However, he simultaneously emphasized the imperfectness of the energy-momentum tensor in the accepted form.
mu]v] is the energy-momentum tensor, which discribes the matter content of the universe.
Local Conservation Equations and the Energy-Momentum Tensor in Minkowski Space-Time
The method works as follows: a solution of the vacuum Einstein equations is taken, such that there is a discontinuity in the derivatives of the metric tensor on the plane of the disk, and the energy-momentum tensor is obtained from the Einstein equations.
As a result, the energy-momentum tensor can be identified with respect to both parts with no ambiguity [1] and it provides the study of EM energy-momentum relation as close to the source as desired up to quantum limits.
Its 4-curvature is determined from the various contributions to its total energy-momentum tensor density, namely in the form of matter energy density, radiation pressure and cosmological constant.
Eshelby [34-36] introduced an elastic field energy-momentum tensor for continuous media to deal with cases where defects (such as dislocations) lead to changes in configuration.
In the case when the energy-momentum tensor is present (supposing however that it describes the influence of matter weak enough in order to keep the basic solution unchanged), one must use the full Einstein's tensor on the right-hand side.
Ueno begins by describing Riemann spaces and stable curves, including compact Riemann surfaces and pointed curves, then moves to affine Lie algebras and integrable highest weight representations, with an explanation of the energy-momentum tensor, Uechi then moves to conformal blocks and correlation functions, the sheaf of conformal blocks associated with a family of pointed Reimann surfaces with coordinates, the sheaf's support of projectively flat connections, one of the most important facts of conformal field theory.
With account of the metric 1 the coefficients of the dust energy-momentum tensor 11 become
In general relativity the matter content of the spacetime is described by the energy-momentum tensor T which is to be determined from the physical considerations dealing with the distribution of matter and energy.
mu]v] is the energy-momentum tensor of matter, c is the light speed in free space, and G is the gravitational constant.

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