The Energy-Momentum Tensor for the Gravitational Field

The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational field are derived by applying the variational principle. We...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Babak, S V, Grishchuk, L P
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.04.1999
Subjects
Equations of motion
Gravitation theory
Gravitational fields
Mathematical analysis
Momentum
Quantum theory
Relativity
Tensors
Online AccessGet full text

Cover

More Information
Summary:The field theoretical description of the general relativity (GR) is further developed. The action for the gravitational field and its sources is given explicitely. The equations of motion and the energy-momentum tensor for the gravitational field are derived by applying the variational principle. We have succeeded in constructing the unique gravitational energy-momentum tensor which is 1) symmetric, 2) conserved due to the field equations, and 3) contains not higher than the first order derivatives of the field variables. It is shown that the Landau-Lifshitz pseudotensor is an object most closely related to the derived energy-momentum tensor.
ISSN:2331-8422