New spherically symmetric solutions in <Emphasis Type="Italic">f</Emphasis> (<Emphasis Type="Italic">R</Emphasis>)-gravity by Noether symmetries |
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| Authors: | Salvatore Capozziello Noemi Frusciante Daniele Vernieri |
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| Institution: | 1.Dipartimento di Scienze Fisiche,Università di Napoli “Federico II”,Napoli,Italy;2.INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G,Napoli,Italy;3.SISSA-International School for Advanced Studies,Trieste,Italy;4.INFN, Sez. di Trieste,Trieste,Italy |
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| 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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