New framework for studying spherically symmetric static solutions inf(R)gravity

Anne Marie Nzioki, Sante Carloni, Rituparno Goswami, Peter K. S. Dunsby
2010 Physical Review D  
We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general f(R)-gravity. These equations are used to determine the conditions for which the Schwarzschild metric is the only vacuum solution with vanishing Ricci scalar. We also show that our general framework provides a clear way of showing that the Schwarzschild solution is not a
more » ... unique static spherically symmetric solution, providing some incite on how the current form of Birkhoff's theorem breaks down for these theories.
doi:10.1103/physrevd.81.084028 fatcat:vrp5wslppvff3ijtrac7k24eza