Gravitational stress-energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical...

electromagnetic stress–energy tensor is the contribution to the stress–energy tensor due to the electromagnetic field. The stress–energy tensor describes the...

The Maxwell stress tensor (named after James Clerk Maxwell) is a symmetric second-order tensor in three dimensions that is used in classical electromagnetism...

of a tensor equation which related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within...

Belinfante–Rosenfeld tensor is a modification of the stress–energy tensor that is constructed from the canonical stress–energy tensor and the spin current...

stress scalar. The unit vector is dimensionless. The Cauchy stress tensor obeys the tensor transformation law under a change in the system of coordinates...

relativity (stress–energy tensor, curvature tensor, ...). In applications, it is common to study situations in which a different tensor can occur at...

} The Einstein tensor is symmetric G μ ν = G ν μ {\displaystyle G_{\mu \nu }=G_{\nu \mu }} and, like the on shell stress–energy tensor, has zero divergence:...

electromagnetic stress–energy tensor can be interpreted as the flux density of the momentum four-vector, and is a contravariant symmetric tensor that is the...

continuum mechanics Viscous stress tensor, in continuum mechanics Stress–energy tensor, in relativistic theories Maxwell stress tensor, in electromagnetism Electromagnetic...

although Kaluza originally provided a stress–energy tensor for his theory, and Thiry included a stress–energy tensor in his thesis. But as described by Gonner...

electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a...

Lamé's stress ellipsoid Reinforced solid Residual stress Shear strength Shot peening Strain Strain tensor Strain rate tensor Stress–energy tensor Stress–strain...

spin-2 boson because the source of gravitation is the stress–energy tensor, a second-order tensor (compared with electromagnetism's spin-1 photon, the...

tensor, g is the metric tensor and R is the scalar curvature. It is used in the Einstein field equations. The stress–energy tensor (sometimes stress–energy–momentum...

tensor to the stress–energy tensor, which represents the distribution of energy, momentum and stress in the spacetime manifold. The Einstein tensor is...

constitutive models (for example, the Cauchy Stress tensor is variant to a pure rotation, while the deformation strain tensor is invariant; thus creating problems...

relativity, a stress–energy–momentum pseudotensor, such as the Landau–Lifshitz pseudotensor, is an extension of the non-gravitational stress–energy tensor that...

\alpha }-T^{\alpha \beta }\neq 0} and therefore, the stress–energy tensor is not a symmetric tensor. The quantity S is the density of spin angular momentum...

may differ from the symmetric tensor used as the source term in general relativity; see Canonical stress–energy tensor.) I. The electric charge The conservation...

for the conservation of energy and linear momentum, the electromagnetic stress–energy tensor is best represented as a mixed tensor density T μ ν = T μ γ...

is considered to be the stress–energy tensor or matter tensor. However, the way in which the immediate presence of mass-energy in some region affects the...

expansion of the universe. In space-positive metric signature tensor notation, the stress–energy tensor of a perfect fluid can be written in the form T μ ν =...

This definition makes sense purely geometrically, but if we place a stress–energy tensor on our spacetime of the form T a b = Φ k a k b {\displaystyle T^{ab}=\Phi...

between the geometry of spacetime and the energy–momentum tensor (also referred to as the stress–energy tensor). The measured value of the constant is known...

of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor theory...

in mathematical physics, these tensor fields should also give rise to specific contributions to the stress–energy tensor T α β {\displaystyle T^{\alpha...

manifold whose Einstein tensor vanishes identically. According to the Einstein field equation, this means that the stress–energy tensor also vanishes identically...

metric (and the associated curvature tensors) to the stress–energy tensor T μ ν {\displaystyle T_{\mu \nu }} . This tensor equation is a complicated set of...

motivation for the Einstein field equation is provided in the section Stress–energy tensor. For definiteness consider a circular Earth orbit (helical world...