Abstract
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.
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Capozziello, S., Frusciante, N. & Vernieri, D. New spherically symmetric solutions in f (R)-gravity by Noether symmetries. Gen Relativ Gravit 44, 1881–1891 (2012). https://doi.org/10.1007/s10714-012-1367-y
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DOI: https://doi.org/10.1007/s10714-012-1367-y