This energy momentum tensor agrees with the symmetric and gauge{invariant electromagnetic energy{momentum tensor obtained by \improving" the canonical one. Note that it is traceless: g T = 0. Since a gas of photons is made up of electromagnetic eld, its energy-momentum tensor must be traceless too, which implies that w= 1=3, as stated above.

Gravitational Waves - USU called the transverse-traceless gauge. • What does using all the gauge freedom physically mean? In general relativity, gauge freedom is the freedom to choose coordinates. Here, by restricting the gauge in the wave µν may be expressed as an integral over the stress-energy tensor T Stress Tensors and Casimir Energies in the AdS/CFT Casimir energy of the CFT on a toroidal geometry. Finally, we present a discussion of our results in section 4. While this paper was in preparation, ref. [14] appeared which discusses calculating the CFT stress-energy using techniques similar to those in section 2.2. 2 Stress-Energy Tensor IDEALS @ Illinois: Improvement of Stress -Energy Tensor The improved stress-energy tensor defines the same field energy-momentum and angular momentum as the conventional tensor, and it is traceless for a non-interacting field theory when all coupling constants are physically dimensionless. Stress-Energy-Momentum Tensors in Lagrangian Field Theory

## The local behavior of the Maxwell tensor, or of the relativistic symmetrical stress-energy tensor, is extremely important because as shown by, for example, Deutsch and Candelas [9] with the help of Green functions techniques, as we approach the boundaries we find strong divergencies that cannot be simply removed by usual renormalization procedures.

The local behavior of the Maxwell tensor, or of the relativistic symmetrical stress-energy tensor, is extremely important because as shown by, for example, Deutsch and Candelas [9] with the help of Green functions techniques, as we approach the boundaries we find strong divergencies that cannot be simply removed by usual renormalization procedures.

### on the use of the traceless stress tensor (TST). It is shown that it naturally leads to the appearance of a modiﬁed viscosity given by C. =3/ tr.˝/ where is the shear-viscosity coefﬁcient, the relaxation time and tr(˝) the trace of the extra stress tensor. This modiﬁed …

The electromagnetic energy tensor The right-hand side of Eq. represents the rate per unit volume at which energy is transferred from the electromagnetic field to charged particlesIt is clear, therefore, that Eq. is an energy conservation equation for the electromagnetic field (see Sect. 8.2)The proper-3-scalar can be identified as the energy density of the electromagnetic field, whereas the proper-3-vector is the energy flux Regularization of the stress-energy tensor for vector and