2006/07/20 by M. Sharif, M. SHARIF, M Jamil Amir +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #gr-qc
paper · pdf · doi:10.1142/s0217732307021214
published as Mod.Phys.Lett.A22:425-434,2007; Addendum-ibid.A23:3431-3433,2009 · 13 pages, accepted for publication in Modern Physics Letters A
arxiv created 2006/07/20 · openalex publication_date 2007/02/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26
In this paper, we find the energy–momentum distribution of stationary axisymmetric spacetimes in the context of teleparallel theory by using Möller prescription. The metric under consideration is the generalization of the Weyl metrics called the Lewis–Papapetrou metric. The class of stationary axisymmetric solutions of the Einstein field equations has been studied by Galtsov to include the gravitational effect of an external source. Such spacetimes are also astrophysically important as they describe the exterior of a body in equilibrium. The energy density turns out to be nonvanishing and well-defined and the momentum becomes constant except along θ-direction. It is interesting to mention that the results reduce to the already available results for the Weyl metrics when we take ω = 0.