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29 March 2024
 
  » arxiv » gr-qc/0612016

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An ASSF and the Teleparallelisim
Murat Korunur ; Mustafa Salti ; Oktay Aydogdu ;
Rating Visitors: 5/5 (1 visitor)
Date 2 Dec 2006
AbstractAn axially symmetric scalar field is considered in the teleparallel gravity. We calculate, respectively, the tensor, the vector and the axial-vector parts of torsion and energy, momentum and angular momentum in the ASSF. We find the vector parts are in the radial and $hat{e}_{ heta}$ directions, the axial-vector, momentum and angular momentum vanish identically, but the energy distribution is different from zero. The vanishing axial-vector part of torsion gives us that there occurs no deviation in the spherical symmetry of the spacetime. Consequently, there exists no inertia field with respect to Dirac particle and the spin vector of a Dirac particle becomes constant. The result for the energy is the same as obtained by Radinschi. Next, the work also (a) supports the viewpoint of Lessner that the M{o}ller energy-momentum complex is a powerful concept for the energy-momentum, (b) sustains the importance of the energy-momentum definitions in the evaluation of the energy distribution of a given space-time, and (c) supports the hypothesis by Cooperstock that the energy is confined to the region of non-vanishing energy-momentum tensor of matter and all non-gravitational fields.
Source arXiv, gr-qc/0612016
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