Charged axially symmetric solution and energy in teleparallel theory equivalent to general relativity
Author: Nashed, G.G.L.
Source: The European Physical Journal C - Particles and Fields, Volume 49, Number 3, February 2007 , pp. 851-857(7)
Abstract:An exact charged solution with axial symmetry is obtained in the teleparallel equivalent of general relativity. The associated metric has the structure function G()=1-2-2mA3-q2A24. The fourth order nature of the structure function can make calculations cumbersome. Using a coordinate transformation we get a tetrad whose metric has the structure function in a factorizable form (1-2)(1+r+A)(1+r-A) with r± as the horizons of Reissner–Nordström space-time. This new form has the advantage that its roots are now trivial to write down. Then, we study the singularities of this space-time. Using another coordinate transformation, we obtain a tetrad field. Its associated metric yields the Reissner–Nordström black hole. In calculating the energy content of this tetrad field using the gravitational energy-momentum, we find that the resulting form depends on the radial coordinate! Using the regularized expression of the gravitational energy-momentum in the teleparallel equivalent of general relativity we get a consistent value for the energy.
Document Type: Research Article
Affiliations: Email: email@example.com
Publication date: February 1, 2007