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Critical Behavior in the Brans-Dicke Theory of Gravitation

Takeshi Chiba·Jiro Soda
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Abstract

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 $ω> -3/2$ that a continuous self-similarity continues and that the critical exponent does depend on $ω$. By conformally transforming the Choptuik's solution into the Brans-Dicke frame, we find for $ω> -3/2$ that at the critical solution shows discrete self-similarity, however, the critical exponent depends strongly on $ω$ while the echoing parameter weakly on it.

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Takeshi Chiba, Jiro Soda. 1996-03-28. Critical Behavior in the Brans-Dicke Theory of Gravitation. https://doi.org/10.1143/ptp.96.567

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