Genericity aspects of black hole formation in the collapse of spherically symmetric slightly inhomogeneous perfect fluids

Seema Satin, Daniele Malafarina, Pankaj S. Joshi

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)

    Abstract

    We study the complete gravitational collapse of a class of spherically symmetric inhomogeneous perfect fluid models obtained by introducing small radial perturbations in an otherwise homogeneous matter cloud. Our aim here is to study the genericity and stability of the formation of black holes and locally naked singularities in collapse. While the occurrence of naked singularities is known for many models of collapse, the key issue now in focus is genericity and stability of these outcomes. Towards this purpose, we study how the introduction of a somewhat general class of small inhomogeneities in homogeneous collapse leading to a black hole can change the final outcome to a naked singularity. The key feature that we assume for the perturbation profile is that of a mass profile that is separable in radial and temporal coordinates. The known models of dust and homogeneous perfect fluid collapse can be obtained from this choice of the mass profile as special cases. This choice is very general and physically well motivated and we show that this class of collapse models leads to the formation of a naked singularity as the final state.

    Original languageEnglish
    Article number1650023
    JournalInternational Journal of Modern Physics D
    Volume25
    Issue number2
    DOIs
    Publication statusPublished - Feb 1 2016

    Keywords

    • Gravitational collapse
    • black holes
    • naked singularities

    ASJC Scopus subject areas

    • Mathematical Physics
    • Astronomy and Astrophysics
    • Space and Planetary Science

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