An axially symmetric scalar field and teleparallelism

Korunur M., Salti M., Aydogdu O.

EUROPEAN PHYSICAL JOURNAL C, vol.50, no.1, pp.101-107, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1140/epjc/s10052-006-0195-1
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.101-107


An axially symmetric scalar field is considered in 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 (e) over cap (theta) 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 the result that there occurs no deviation in the spherical symmetry of the spacetime. Consequently, there exists no inertia field with respect to a 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, this work also (a) supports the viewpoint of Lessner that the Moller energy-momentumcomplex 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 spacetime, and (c) supports the hypothesis by Cooperstock that the energy is confined to the region of non-vanishing energy-momentumtens or of the matter and all non-gravitational fields.