Gravitational Energy - General Relativity

General Relativity

In general relativity gravitational energy is extremely complex, and there is no single agreed upon definition of the concept. It is sometimes modeled via the Landau-Lifshitz pseudotensor which allows the energy-momentum conservation laws of classical mechanics to be retained. Addition of the matter stress-energy-momentum tensor to the Landau-Lifshitz pseudotensor results in a combined matter plus gravitational energy pseudotensor which has a vanishing 4-divergence in all frames; the vanishing divergence ensures the conservation law. Some people object to this derivation on the grounds that pseudotensors are inappropriate in general relativity, but the divergence of the combined matter plus gravitational energy pseudotensor is a tensor.

Read more about this topic:  Gravitational Energy

Other articles related to "general relativity, relativity, general":

Superstring Theory - Integrating General Relativity and Quantum Mechanics
... General relativity typically deals with situations involving large mass objects in fairly large regions of spacetime whereas quantum mechanics is generally reserved ... at Planck scale (a fundamental small unit of length) lengths, general relativity predicts a smooth, flowing surface, while quantum mechanics predicts a random, warped surface, neither of which are anywhere ...
Stanley Deser
... Stanley Deser is an American physicist known for his contributions to general relativity ... In the context of general relativity, he is best known for his development (with Richard Arnowitt and Charles Misner) of the ADM formalism, roughly speaking a way of describing spacetime as space evolving in time ... define globally quantities like energy or, equivalently, mass (so-called ADM mass/energy) which, in general relativity, is not trivial at all ...
General Relativity - Current Status
... General relativity has emerged as a highly successful model of gravitation and cosmology, which has so far passed many unambiguous observational and ... Even taken as is, general relativity is rich with possibilities for further exploration ... More than ninety years after its publication, general relativity remains a highly active area of research ...
Antigravity - Hypothetical Solutions - General-relativistic "warp Drives"
... There are solutions of the field equations of general relativity which describe "warp drives" (such as the Alcubierre metric) and stable, traversable wormholes ... stress–energy tensor field (see exact solutions in general relativity) ... General relativity does not constrain the geometry of spacetime unless outside constraints are placed on the stress–energy tensor ...
Special Relativity (alternative Formulations) - Curvilinear Coordinates and Non-inertial Frames
... This is "special relativity" as usually understood ... This is non-gravitational physics plus general covariance ... This is the sense in which "special relativity" can handle accelerated frames ...

Famous quotes containing the words relativity and/or general:

    By an application of the theory of relativity to the taste of readers, to-day in Germany I am called a German man of science, and in England I am represented as a Swiss Jew. If I come to be regarded as a bête noire the descriptions will be reversed, and I shall become a Swiss Jew for the Germans and a German man of science for the English!
    Albert Einstein (1879–1955)

    We have left undone those things which we ought to have done; and we have done those things which we ought not to have done.
    Morning Prayer, General Confession, Book of Common Prayer (1662)