Energy Momentum Pseudotensor

In the theory of general relativity, a stress–energy–momentum pseudotensor, such as the Landau–Lifshitz pseudotensor, is an extension of the non-gravitational stress–energy tensor which incorporates the energy–momentum of gravity.

Right now, Landau-Lifshitz pseudotensor is a redirect to this article. But this article should be named Landau-Lifshitz pseudotensor (and expanded) since there are many others like Møller complex which probably need their own articles, since they have somewhat different motivations and uses.

In a curved spacetime there is, in general, no globally conserved energy-momentum. Aside from the case of scalars like electric charge, tensors defined in different tangent spaces cannot be added in nonflat spacetime.

The question of the uniqueness of energy-momentum tensors in the linearized general relativity and in the linear massive gravity is analyzed without using variational techniques. We start from a natural ansatz for the form of the tensor (for example, that it is a linear combination of the terms quadratic in the first derivatives), and require it to be conserved as a consequence of field equations.

A history of the problem of mathematical and physical definition for the energy-momentum of the gravity field is reviewed. As it was noted 90 years ago by Hilbert (1917), Einstein (1918), Schrodinger (1918) and Bauer (1918) within Geometrical Gravity approach (General Relativity) there is no tensor characteristics of the energy-momentum for the gravity field.

Starting with the Einstein-Hilbert Lagrangian $$ L_{EH} = -\frac{1}{2}(R + 2\Lambda)$$ one can formally calculate a gravitational energy-momentum tensor $$ T_{EH}^{\mu\nu} = -2 \frac{\delta L_...

General relativity includes a dynamical spacetime, so it is difficult to see how to identify the conserved energy and momentum

Sibusiso S. XuIu

The operational and canonical definitions of an energy-momentum tensor (EMT) are considered as well as the tensor and nontensor conservation laws. It is shown that the canonical EMT contradicts the ex

A history of the problem of mathematical and physical definition for the energy-momentum of the gravity field is reviewed. As it was noted 90 years ago by Hilbert (1917), Einstein (1918), Schrodinger (1918) and Bauer (1918) within Geometrical Gravity approach (General Relativity) there is no tensor characteristics of the energy-momentum for the gravity field.

Landau-Lifshitz pseudotensor expresses the energy-momentum conservation principle (ECMP) in the curved spacetime of general relativity

By using a suitable two-point scalar field, a covariant formulation of the Einstein pseudotensor is given. A unique choice of scalar field is made possible by examining the role of linear and angular

It is conjectured that Einstein's gravitational energy-momentum pseudotensor is physically significant under the de Donder condition. The validity of this conjecture is explicitly checked by some simple exact solutions to the Einstein equation.