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Energy and momentum of a spherically symmetric dilaton frame as regularized by teleparallel gravity | | Gamal G.L. Nashed
; | | Date: |
28 Apr 2011 | | Abstract: | We calculate energy and momentum of a spherically symmetric dilaton frame
using the gravitational energy-momentum 3-form within the tetrad formulation of
general relativity (GR). The frame we use is characterized by an arbitrary
function $Upsilon$ with the help of which all the previously found solutions
can be reproduced. We show how the effect of inertia {it (which is mainly
reproduced from $Upsilon$)} makes the total energy and momentum always
different from the well known result when we use the Riemannian connection
${{widetilde Gamma}_alpha}^eta$. On the other hand, when use is made of
the covariant formulation of teleparallel gravity, which implies to take into
account the pure gauge connection, teleparallel gravity always yields the
physically relevant result for the energy and momentum. | | Source: | arXiv, 1105.0328 | | Services: | Forum | Review | PDF | Favorites | |
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