#### Title

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

#### Document Type

Article

#### Publication Date

7-4-2015

#### Abstract

© 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=T^{α}μν^{Sαμν}=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.

#### Recommended Citation

Nashed, G. G.L., "A special Kerr-solution in f(T) gravitational theories" (2015). *Centre for Theoretical Physics*. 87.

https://buescholar.bue.edu.eg/centre_theoretical_physics/87