Critical Behavior in the Brans-Dicke Theory of Gravitation

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 $\omega >-3/2$ 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.

6 pages

Cited by in corpus (21)

• Black holes in the Brans-Dicke-Maxwell theory
• Is the firewall consistent?: Gedanken experiments on black hole complementarity and firewall proposal
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Responses of the Brans-Dicke field due to gravitational collapses
• Extended phase space thermodynamics and $P-V$ criticality of charged black holes in Brans-Dicke theory
• Critical phenomena of collapsing massless scalar wave packets
• Dynamical formation and evolution of (2+1)-dimensional charged black holes
• Non-singular Brans-Dicke collapse in deformed phase space
• Naked Singularity Formation In Brans-Dicke Theory
• Charged black holes in string-inspired gravity: I. Causal structures and responses of the Brans-Dicke field
• Gravitational collapse of massless scalar field in $f(R)$ gravity
• Higher Dimensional Self-similar Spherical Symmetric Scalar Field Collapse and Critical Phenomena in Black Hole Formation
• Charged black holes in string-inspired gravity: II. Mass inflation and dependence on parameters and potentials
• Three dimensional dilatonic gravity's rainbow: exact solutions
• Inside and outside stories of black-branes in anti de Sitter space
• Gravitational collapse of massless scalar field and radiation fluid
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• Cusp singularities in f(R) gravity: pros and cons
• Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids
• Homothetic Self-Similar Solutions of the Three-Dimensional Brans-Dicke Gravity
• Self-similar collapse of a scalar field in dilaton gravity and critical behaviour