On the Equivalence of Brans-Dicke and Einstein Theories with Static Black Holes

Details On the Equivalence of Brans-Dicke and Einstein Theories with Static Black Holes On the Equivalence of Brans-Dicke and Einstein Theories with Static Black Holes

1996-06-28

arxiv.org/abs/gr-qc/9606082v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, RevTeX, e-mail: eloy@cidet.icmf.edu.cu

Scientific paper

A `no-hair' theorem for the Brans-Dicke field, in the domain of outer
communications of a static black hole, is established, when the trace of the
energy-momentum tensor, T, is a definite-sign scalar. This implies that
Brans-Dicke theory of gravitation, for matter with T of definite sign, is
equivalent to Einstein gravity with the constraint T=0.

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