Constant curvature solutions in cylindrically symmetric
metric $f(R)$ Gravity
Davood Momeni- Karaj Islamic Azad Univ.
abstract
In the previous work [Phys. Lett.
B., 670 (2008)] we introduced a new static
cylindrically symmetric vacuum solutions in in
Weyl coordinates in the context of the metric
f(R) theories of gravity.Now we obtain a
2-parameter family of exact solutions which
contains cosmological constant and a new
parameter as [UTF-8?]β. This solution
corresponds to a constant Ricci scalar. We
proved that in f(R) gravity ,the constant
curvature solution in cylindrically symmetric
cases is only one member of the most generalized
Tian family in GR. We show that our constant
curvature exact solution is applicable to the
exterior of a string. Sensibility of stability
under initial conditions is discussed (Baesd on
:arXiv:0903.0067).
Wednesday / 15-July-2009
/ 24-Tir-1388/ 2:00 PM
IPM Larak Building, School of Astronomy and
Astrophysics
