Spherically symmetric solution of the Mikhail-Wanas theory

Abstract

A solution having spherical symmetry for the generalized field theory established recently by Mikhail and Wanas, based on the tetrad space, is obtained. The field equations of general relativity, in free space and written in terms of the tetrad elements, are solved also by using the same tetrad field. The solution obtained from the new theory is found to be identical with that obtained from general relativity. It is shown that the solution obtained represents a pure gravitational field outside a spherically symmetric body. It is found that the new theory, in the absence of electromagnetic field and when the gravitational field is not strong, gives the same results of general relativity in the case of spherical symmetry. This result supports the idea of classification of tetrad vector fields, presented in a recent paper.