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Simplified gravitational collapse with an interacting vacuum energy density

Curvature effects

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Abstract

The gravitational collapse of a spherical core, in which the fluid component interact with a growing vacuum energy density, filling an homogeneous and isotropic geometry with an arbitrary curvature parameter, is investigated. The complete set of exact solutions for all values of the free parameters are obtained, and the influence of the curvature term on the collapsing time, black hole mass and other physical quantities are also discussed in detail. We show that for the same initial conditions the total black hole mass depends only on the effective matter density parameter (including the vacuum component). It is also shown that the analytical condition to form a black hole, i.e. the formation of an apparent horizon, is not altered by the contribution of the curvature terms, however, the remaining physical quantities are quantitatively modified.

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Acknowledgments

This paper is dedicated to the late Professor Mario José Delgado Assad (UFPB-Brazil). His earlier contribution to the unified approach for FRW type cosmologies motivated the present work. The author E.L.D.P. is partially supported by a grant from CAPES, and J.A.S.L. is partially supported by CNPq and FAPESP (No. 04/13668-0).

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Author notes

  1. E. L. D. Perico

    Present address: Departamento de Astronomia, Universidade de São Paulo, São Paulo, SP, 05508-900, Brazil

  2. M. Campos

    Present address: Departamento de Física, Universidade de Federal do Espírito Santo, Vitória, ES, 29075-910, Brazil

Authors and Affiliations

  1. Instituto de Física, Universidade de São Paulo, São Paulo, SP, 05508-090, Brazil

    E. L. D. Perico

  2. Departamento de Astronomia, Universidade de São Paulo, São Paulo, SP, 05508-900, Brazil

    J. A. S. Lima

  3. Departamento de Física, Universidade Federal de Roraima, Boa Vista, RR, 69304-000, Brazil

    M. Campos

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  1. E. L. D. Perico
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Correspondence to M. Campos.

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Perico, E.L.D., Lima, J.A.S. & Campos, M. Simplified gravitational collapse with an interacting vacuum energy density. Gen Relativ Gravit 48, 8 (2016). https://doi.org/10.1007/s10714-015-2005-2

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