Spherical symmetry in f ( R )-gravity

2007/09/30 by S. Capozziello, S Capozziello, A. Stabile +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/8/085004

published as Class.Quant.Grav.25:085004,2008 · 13 pages

arxiv created 2008/03/04 · openalex publication_date 2008/03/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Spherical symmetry in f ( R )-gravity is discussed in detail considering also the relations to the weak field limit. Exact solutions are obtained for constant Ricci curvature scalar and for Ricci scalar depending on the radial coordinate. In particular, we discuss how to obtain results which can be consistently compared with general relativity giving the well known post-Newtonian and post-Minkowskian limits. Furthermore, we implement a perturbation approach to obtain solutions up to the first order starting from spherically symmetric backgrounds. Exact solutions are given for several classes of f ( R )-theories in both R = constant and R = R ( r ).

Citations

• Newtonian limit off(R)gravity
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Low surface brightness galaxy rotation curves in the low energy limit of Rn gravity: no need for dark matter?
• Cosmological Constant - the Weight of the Vacuum
• Newton law corrections and instabilities in f(R) gravity with the effective cosmological constant epoch
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Observational signatures off(R)dark energy models that satisfy cosmological and local gravity constraints
• Beyond the perfect fluid hypothesis for the dark energy equation of state
• The Gravity Lagrangian According to Solar System Experiments
• Spherically symmetric spacetimes inf(R)gravity theories
• Stability of modified gravity models
• The cosmological constant and dark energy
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Gravitational waves and lensing of the metric theory proposed by Sobouti
• Dynamics of dark energy
• Is cosmic speed-up due to new gravitational physics?
• Cosmological consequences of a rolling homogeneous scalar field
• Three‐YearWilkinson Microwave Anisotropy Probe(WMAP) Observations: Implications for Cosmology
• Dynamics of linear perturbations inf(R)gravity
• Curvature Quintessence