Thursday, October 25, 2012

1210.6619 (Antonio C. Gutiérrez-Piñeres)

Exact solutions in metric $f(R)$-gravity for static axisymmetric
spacetime
   [PDF]

Antonio C. Gutiérrez-Piñeres
Axially symmetric static vacuum exact solution (ASSVES) in Weyl coordinates are studied in $f(R)$ theories of gravity. In particular, we obtain a general explicit expression for the dependence between $df(R)/dR$ and the $r$ and $z$ coordinates and then the corresponding explicit form of $f(R)$ is obtained. Next, we present in detail the explicit solution of the modified field equations corresponding to the Newtonian potential due to a punctual mass placed at the origin of coordinates and also the Schwarzschild solution to the modified field equations.
View original: http://arxiv.org/abs/1210.6619

No comments:

Post a Comment