Spherically symmetric solutions of modified field equations in f(R) theories of gravity

Journal Article · Fri Sep 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.064022· OSTI ID:20871224

Multamaeki, T; Vilja, I ^[1]

---

1. Department of Physics, University of Turku, FIN-20014 Turku (Finland)

Spherically symmetric static empty space solutions are studied in f(R) theories of gravity. We reduce the set of modified Einstein's equations to a single equation and show how one can construct exact solutions in different f(R) models. In particular, we show that for a large class models, including e.g. the f(R)=R-{mu}{sup 4}/R model, the Schwarzschild-de Sitter metric is an exact solution of the field equations. The significance of these solutions is discussed in light of solar system constraints on f(R) theories of gravity.

• OSTI ID: 20871224
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevD.74.064022; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
DE SITTER GROUP
EINSTEIN FIELD EQUATIONS
EXACT SOLUTIONS
GRAVITATION
SCHWARZSCHILD METRIC
SOLAR SYSTEM