Schwarzschild solution in extended teleparallel gravity
Centre for Theoretical Physics, The British University in Egypt - El Sherouk City 11837, P.O. Box 43, Egypt and Mathematics Department, Faculty of Science, Ain Shams University - Cairo, 11566, Egypt
Received: 13 December 2013
Accepted: 7 January 2014
A tetrad field with two unknown functions of the radial coordinate and an angle Φ (the polar angle ϕ times a function of the radial coordinate), is applied to the field equation of the modified theory of gravity. An exact vacuum solution is derived; its scalar torsion, , is constant. When the angle Φ coincides with the polar angle ϕ, the derived solution will be a solution only for the linear form of the f(T) gravitational theory.
PACS: 04.50.Kd – Modified theories of gravity
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