Singularity resolution in gravitational collapse
Abstract
We investigate the unhindered gravitational collapse of a homogeneous scalar field with nonzero potential, a twodimensional analog of the Mexican hatshaped Higgs field potential. We prove that the density dependence on the scale factor cannot be expressed as an algebraic function in such a scenario. For a certain transcendental expression of the density of such field as a function of scale factor, we then show that the collapse evolves to a singularity at an infinite comoving time, which is equivalent to saying that the singularity is avoided altogether. An ultra high density region (UHDR) of the order of Planck length can, however, be reached in a finite comoving time. The absence of the formation of trapped surfaces makes this UHDR globally visible.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.07343
 Bibcode:
 2021arXiv211007343M
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 7 pages, 2 figures