All black holes in Lemaître-Tolman-Bondi inhomogeneous dust collapse

Pankaj S. Joshi, Daniele Malafarina

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Within the Lemaître-Tolman-Bondi formalism for the gravitational collapse of inhomogeneous dust, we analyze the parameter space that leads to the formation of a globally covered singularity (i.e. a black hole) when some physically reasonable requirements are imposed (namely, a positive, radially decreasing and quadratic profile for the energy density and the avoidance of shell crossing singularities). It turns out that a black hole can occur as the endstate of collapse only if the singularity is simultaneous, as in the standard Oppenheimer-Snyder scenario. Given a fixed density profile, there is one velocity profile for the infalling particles that will produce a black hole. All other allowed velocity profiles will terminate the collapse in a locally naked singularity.

    Original languageEnglish
    Article number145004
    JournalClassical and Quantum Gravity
    Volume32
    Issue number14
    DOIs
    Publication statusPublished - Jul 23 2015

    Fingerprint

    dust
    velocity distribution
    naked singularities
    gravitational collapse
    avoidance
    profiles
    flux density
    formalism
    requirements

    Keywords

    • black holes
    • gravitational collapse
    • naked singularities

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    All black holes in Lemaître-Tolman-Bondi inhomogeneous dust collapse. / Joshi, Pankaj S.; Malafarina, Daniele.

    In: Classical and Quantum Gravity, Vol. 32, No. 14, 145004, 23.07.2015.

    Research output: Contribution to journalArticle

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