Energy Momentum

Stress–energy–momentum Pseudotensor - Landau–Lifshitz Pseudotensor
... Landau–Lifshitz combined matter+gravitational stress–energy–momentum pseudotensor allows the energy–momentum conservation laws to be extended into general relativity ... Subtraction of the matter stress–energy–momentum tensor from the combined pseudotensor results in the gravitational stress–energy–momentum pseudotensor ...

Mass In General Relativity - Questions, Answers, and Simple Examples of Mass in General Relativity
... While the density of energy momentum, the stress-energy tensor is always Lorentz covariant, the same cannot be said for the total energy-momentum ... Non-covariance of the energy-momentum four-vector implies non-invariance of its length, the invariant mass ... system is constantly exchanging energy-momentum with its surroundings ...

Stress–energy–momentum Pseudotensor
... theory of general relativity, a stress–energy–momentum pseudotensor, such as the Landau–Lifshitz pseudotensor, is an extension of the non-gravitational stress ... It allows the energy–momentum of a system of gravitating matter to be defined ... In particular it allows the total of matter plus the gravitating energy–momentum to form a conserved current within the framework of general relativity, so ...

Mass In General Relativity - Types of Mass in General Relativity - ADM and Bondi Masses in Asymptotically Flat Space-times
... For systems in which space-time is asymptotically flat, the ADM and Bondi energy, momentum, and mass can be defined ... In terms of Noether's theorem, the ADM energy, momentum, and mass are defined by the asymptotic symmetries at spatial infinity, and the Bondi energy, momentum, and mass are ... Note that mass is computed as the length of the energy-momentum four vector, which can be thought of as the energy and momentum of the system "at infinity" ...

Bimetric Theory - Explanation
... to calculate the form of the metric based on the distribution of energy and momentum ... of the space metric into the framework of general relativity not only enables one to get the energy momentum density tensor of the gravitational field, but also enables one to obtain this tensor from a ... of BR derived from the variational principle are where or and is the energy-momentum tensor ...