Let's look at how we would go about defining the stress-energy tensor.

In Section 7.2 attention is focused on the stress-energy tensor and its properties.

The stress-energy tensor must also be expanded to sufficient order.

The most compact description of mass/energy is provided by the stress-energy tensor.

The dominant term in the stress-energy tensor is therefore the energy density Too.

It expresses the stress-energy tensor as a function of the matter density.

The stress-energy tensor should also satisfy an energy condition.

The rigorous form of this concept is the electromagnetic stress-energy tensor.

But another valid choice for writing the form of the stress-energy tensor is:

From this we can derive the stress-energy tensor of the scalar field.

The vertex operator for the stress-energy tensor at a point also doesn't exist.

Conservation laws for energy and momentum take particularly simple forms when expressed in terms of the stress-energy tensor.

This is the relationship between curvature of spacetime and the stress-energy tensor.

A vacuum solution is one in which the stress-energy tensor is zero.

So do the components of the stress-energy tensor.

The stress-energy tensor T gives the matter and energy content of the underlying spacetime.

He argued that the contribution of this matter to the stress-energy tensor should be:

Put into words they require that the divergences of the stress-energy tensor vanish everywhere.

The disturbance is generated by the stress-energy tensor .

In most of this article we work with the contravariant form, T of the stress-energy tensor.

See section 3.3 for the stress-energy tensor of a minimally coupled scalar field.

There is some ambiguity in regulating the stress-energy tensor, and this depends upon the curvature.

This stress-energy tensor can only be defined in general relativity with a dynamical metric.

See the article Belinfante-Rosenfeld stress-energy tensor for more details.

This allows us to rewrite our mass formula as a volume integral of the stress-energy tensor.