| Revision as of 03:20, 29 May 2005 editHillman (talk | contribs)11,881 editsm Oops, now I see that categories are case sensitive! Fixed.← Previous edit |
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#REDIRECT ] |
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In ], the '''ADM energy''' is a special way to define the ] in ] which is only applicable to some special geometries of ] that asymptotically approach a well-defined ] at infinity - for example the asymptotically ]. The ADM energy in these cases is defined as a function of the deviation of the metric tensor from its prescribed asymptotic form. In other words, the ADM energy is computed as the strength of the gravitational field at infinity. |
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{{Redirect category shell|1= |
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If the required asymptotic form is time-independent (such as the Minkowski space itself), then it respects the time-translational ]. ] then implies that the ADM energy is conserved. According to general relativity, the conservation law for the total energy does not hold in more general, time-dependent backgrounds - for example, it is completely violated in ]. ] in particular is able to produce energy (and mass) from "nothing" because the ] density is roughly constant, but the volume of the Universe ]. |
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