Cylindrical solutions in metric f (R) gravity

By A. Azadi, Davood Momeni, M. Nouri-Zonoz. 2008

133 citations recorded by the source corpus.

Abstract We study static cylindrically symmetric vacuum solutions in Weyl coordinates in the context of the metric f ( R ) theories of gravity. The set of the modified Einstein equations is reduced to a single equation and it is shown how one can construct exact solutions corresponding to different f ( R ) models. In particular the family of solutions with constant Ricci scalar ( R = R 0 ) is found explicitly which, as a special case ( R = 0 ), includes the exterior spacetime of a cosmic string. Another new solution with constant, non-zero Ricci scalar is obtained and its possible relation to the Linet–Tian solution in general relativity is discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9b92865f916cb7ae70ecbd348028ba8c8919f99d