New spherically symmetric solutions in f (R)-gravity by Noether symmetries

2012/04/20 by Salvatore Capozzıello, S. Capozziello, Salvatore Capozziello +4 · 94 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #A priori and a posteriori #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Cosmology and Gravitation Theories #Differential geometry #Geometry #Geophysics and Gravity Measurements #Homogeneous space #Lagrangian #Mathematical physics #Mathematics #Noether's theorem #Physics #Pure mathematics #Symmetry (geometry) #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1007/s10714-012-1367-y

published in General Relativity and Gravitation 44(8), 1881-1891 (Springer Science+Business Media) · 9 pages, accepted for publication in General Relativity and Gravitation

arxiv created 2012/04/20 · openalex publication_date 2012/05/02 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Extended theories of gravity and their cosmological and astrophysical applications
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

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