1204.4650 (S. Capozziello et al.)

New Spherically Symmetric Solutions in f(R)-gravity by Noether
Symmetries    [PDF]

S. Capozziello, N. Frusciante, D. Vernieri

Spherical symmetry for f(R)-gravity is discussed by searching for Noether symmetries. The method consists in selecting conserved quantities in form of currents that reduce dynamics of f(R)-models compatible with symmetries. In this way we get a general method to obtain constants of motion without setting a priori the form of f(R). In this sense, the Noether symmetry results a physical criterium. Relevant cases are discussed.

View original: http://arxiv.org/abs/1204.4650