Spherical symmetry in f(R)-gravity

By Salvatore Capozziello, A. Stabile, Antonio Troisi. 2007

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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).

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cce08b9e58c02f802fda7a7e4a5ea4e9ebe96968

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

f(R) Theories Of Gravity (2008, background): “(240) This can be solved in terms of Bessel functions; plots of these wave amplitudes are reported in (Capozziello et al., 2008) for various values of the parameter δ, but the limit 0 ≤ δ < 7.2 · 10−19 obtained by (Barrow and Clifton, 2006; Clifton and Barrow, 2005a, 2006) leaves little hope of…”