Gravitational collapse of massless scalar field and radiation fluid

Abstract

Several classes of conformally-flat and spherically symmetric exact solutions to the Einstein field equations coupled with either a massless scalar field or a radiation fluid are given, and their main properties are studied. It is found that some represent the formation of black holes due to the gravitational collapse of the matter fields. When the spacetimes have continuous self-similarity (CSS), the masses of black holes take a scaling form $M_{BH}\propto (P-P^{\ast }{)}^{\gamma }$, where $\gamma =0.5$ for massless scalar field and $\gamma =1$ for radiation fluid. The reasons for the difference between the values of $\gamma$ obtained here and those obtained previously are discussed. When the spacetimes have neither CSS nor DSS (Discrete self-similarity), the masses of black holes always turn on with finite non-zero values.

Two figures have been removed, and the text has been re-written. To appear in Phys. Rev. D

References in corpus (16)

• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Understanding critical collapse of a scalar field
• The spherically symmetric collapse of a massless scalar field
• Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse
• The Choptuik spacetime as an eigenvalue problem
• Self-Similar Scalar Field Collapse: Naked Singularities and Critical Behaviour
• Exact solution for scalar field collapse
• Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field
• Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field
• S-Duality at the Black Hole Threshold in Gravitational Collapse
• Critical phenomena of collapsing massless scalar wave packets
• Critical Behavior in the Brans-Dicke Theory of Gravitation
• Self-Similar Collapse of Conformally Coupled Scalar Fields
• An Analytic Model with Critical Behavior in Black Hole Formation
• Self-Similar Collapse in Brans-Dicke Theory and Critical Behavior

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• Critical phenomena in gravitational collapse of Husain-Martinez-Nunez scalar field