Tachyon field collapse - I: Inverse triad corrections

Details Tachyon field collapse - I: Inverse triad corrections Tachyon field collapse - I: Inverse triad corrections

2011-05-02

arxiv.org/abs/1105.0445v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 15 figures

Scientific paper

A marginal Lemaitre-Tolman-Bondi setting with a tachyon field, is considered herein, as a model for gravitational collapse. The tachyon potential is assumed to be of inverse square form. In the classical regime, employing a dynamical system analysis complemented by a numerical study, we find asymptotic solutions approaching an homogeneous dust-like collapse; The corresponding final state points to a black hole formation. We then investigate whether modifications imported from loop quantum gravity can modify the outcome of the collapsing scenario. Restricting ourselves to inverse triad corrections, we obtain, within a semiclassical regime, several classes of analytical as well as numerical solutions. A qualitative analysis provides an attractor solution for the collapsing system. Our results indicate that this specific loop quantum effect induces an outward energy flux with neither a black hole nor a naked singularity emerging. The conclusions in this paper are supported by an analysis involving scaling solutions and a Hamilton-Jacobi description, where a broader potential of inverse form is employed.

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