Black Hole Criticality in the Brans-Dicke Model

TL;DR

This paper investigates black hole formation in the Brans-Dicke gravity model, revealing two types of critical solutions with different self-similarity properties depending on the coupling parameter.

Contribution

It identifies and characterizes two distinct critical solutions in the scalar field collapse within the Brans-Dicke model, highlighting their self-similarity features.

Findings

Discretely self-similar critical solution identified.

Continuously self-similar critical solution identified.

Critical behavior depends on the coupling parameter.

Abstract

We study the collapse of a free scalar field in the Brans-Dicke model of gravity. At the critical point of black hole formation, the model admits two distinctive solutions dependent on the value of the coupling parameter. We find one solution to be discretely self-similar and the other to exhibit continuous self-similarity.