Tachyon field collapse - I: Inverse triad corrections
Year: 2011
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W100963947