Spherically symmetric, static solutions of the Brans-Dicke field equations in vacuum

Physics

Scientific paper

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Celestial Mechanics, Field Theory (Physics), Galactic Rotation, Cosmology, Stellar Motions

Scientific paper

We present approximate solutions for the Brans-Dicke field equations in vacuum, assuming spherical symmetry and static fields. Apart from the trivial solution phi = constant, there exist solutions with phi vanishing at r = 0 and approaching a constant value as r tends to infinity. Finally, we show that these solutions produce flat rotation curves in the region r in the range between r(sh) and sq rt omega/2r(sh).

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