Critical Behavior in the Brans-Dicke Theory of Gravitation

Details Critical Behavior in the Brans-Dicke Theory of Gravitation Critical Behavior in the Brans-Dicke Theory of Gravitation

1996-03-28

arxiv.org/abs/gr-qc/9603056v1

Prog.Theor.Phys. 96 (1996) 567-574

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1143/PTP.96.567

The collapse of a massless scalar field in the Brans-Dicke theory of gravitation is studied in the analysis of both analytical solution and numerical one. By conformally transforming the Roberts's solution into the Brans-Dicke frame, we find for $\omega > -3/2$ that a continuous self-similarity continues and that the critical exponent does depend on $\omega$. By conformally transforming the Choptuik's solution into the Brans-Dicke frame, we find for $\omega > -3/2$ that at the critical solution shows discrete self-similarity, however, the critical exponent depends strongly on $\omega$ while the echoing parameter weakly on it.

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