9.1 The energy{momentum tensor
Extra information related to Chapter 15 Sec. 15.3: The Sec. 15.3: The traceless energy-momentum tensor It is sometimes claimed that special conformal transformations are a consequence of dilata-tions in eld theory. This is argued by saying that both depend on the tracelessness of the energy-momentum tensor. However, dilatation invariance does not imply a traceless energy{momentum tensor. A traceless stress tensor formulation for viscoelastic Dec 15, 2000 The electromagnetic energy tensor
Electromagnetic field correlators, Maxwell stress tensor
The Stress Tensor of the Electromagnetic Field The following double sum generates all the terms of the stress tensor: The first line generates the energy density W, and part of the +0.5 delta(a, b)(E^2 + B^2) term of the Maxwell stress tensor. The rest of that tensor is generated by the second line. The third line creates the Poynting vector. Traceless - definition - English But the field energy of an electromagnetic field contributes a term to the stress–energy tensor which is traceless, so in Nordström's theory, electromagnetic field energy does not gravitate! OpenSubtitles2018.v3. I'll leave, trip the door fuse remotely, Place will go kaboom, and the phantom remains traceless.
The prescription, however, is not a unique one, since the conventionally renormalized stress-energy tensor contains an undetermined multiple of a term, which can be formally reinterpreted as arising from an addition to the gravitational action which is quadratic in the Weyl curvature tensor.
the stress-energy tensor. T =0 (14) That is, the stress-energy tensor is traceless in this case. Notice that this result doesn’t depend on the form of the Lagrangian or the stress-energy tensor; it is derived purely from the requirement that the action be invariant under the given transformations.