A special Kerr-solution in f(T) gravitational theories

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© 2014, Indian Association for the Cultivation of Science. A tetrad field with six unknown functions is applied to the field equation of teleparallel equivalent of general relativity and analytic solution is derived. The coordinate $$\phi $$ϕ to $$N(r,\theta ,\phi )$$N(r,θ,ϕ) is generalized and the new anstaz to the field equation of $$f(T)$$f(T) gravitational theories is applied. A special solution, with scalar torsion T=TαμνSαμν=constant, is derived with two constants of integration. The tetrad field of this solution is axially symmetric and its associated metric gives Kerr space-time.

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