On static spherically symmetric solutions of the vacuum Brans-Dicke theory

Details On static spherically symmetric solutions of the vacuum Brans-Dicke theory On static spherically symmetric solutions of the vacuum Brans-Dicke theory

2005-05-30

arxiv.org/abs/gr-qc/0505141v2

Gen.Rel.Grav.37:2189-2199,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, To be published in Gen. Rel. and Grav, typos in references corrected

Scientific paper

10.1007/s10714-005-0181-1

It is shown that among the four classes of the static spherically symmetric solution of the vacuum Brans-Dicke theory of gravity only two are really independent. Further by matching exterior and interior (due to physically reasonable spherically symmetric matter source) scalar fields it is found that only Brans class I solution with certain restriction on solution parameters may represent exterior metric for a nonsingular massive object. The physical viability of the black hole nature of the solution is investigated. It is concluded that no physical black hole solution different from the Schwarzschild black hole is available in the Brans-Dicke theory.

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