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Energy and momentum of general spherically symmetric frames on the regularizing teleparallelism
Authors:Gamal G L Nashed
Institution:Centre for Theoretical Physics, The British University in Egypt, El-Sherouk City 11837, Egypt; Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
Abstract:In the context of the covariant teleparallel framework, we use the 2-form translational momentum to compute the total energy of two general spherically symmetric frames. The first one is characterized by an arbitrary function H(r), which preserves the spherical symmetry and reproduces all the previous solutions, while the other one is characterized by a parameter ξ which ensures the vanishing of the axial of trace of the torsion. We calculate the total energy by using two procedures, i.e., when the Weitzenböck connection Γαβ is trivial, and show how H(r) and ξ play the role of an inertia that leads the total energy to be unphysical. Therefore, we take into account Γαβ and show that although the space×we use contain an arbitrary function and one parameter, they have no effect on the form of the total energy and momentum as it should be.
Keywords:gravitation  teleparallel gravity  energy-momentum  conserved currents
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