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. The collapsing scalar field is surrounded by an exterior retarded (outgoing) generalized Vaidya spacetime. 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 a 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 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 ultra high density region globally visible.
 Publication:

Physical Review D
 Pub Date:
 March 2022
 DOI:
 10.1103/PhysRevD.105.064048
 arXiv:
 arXiv:2110.07343
 Bibcode:
 2022PhRvD.105f4048M
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 12 pages, 5 figures