期刊
CLASSICAL AND QUANTUM GRAVITY
卷 25, 期 8, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/25/8/085004
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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).
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