Central density cusps in the Lemaître-Tolman solutions

Abstract

The character of the central density profile in the Lemaître-Tolman (LT) solutions plays a fundamental role in their application as cosmological models. This same character is studied here for these solutions used to model complete gravitational collapse. A necessary condition for the development of a black hole (not even locally naked singularities) is developed. This condition allows central density cusps, the central feature of the LT solutions when used to match cosmological observations without invoking the cosmological constant.

4 pages 1 figure revtex 4-1 updated final form to appear in Phys Rev D

References in corpus (1)

• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points

Cited by in corpus (1)

• Cosmic censorship conjecture in some matching spherical collapsing metrics