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Matching radiation-dominated and matter-dominated Einstein–de Sitter universes and an application for primordial black holes in evolving cosmological backgrounds

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Abstract

By matching across a surface of constant time, it is demonstrated that the spacetime for a radiation-dominated Einstein–de Sitter universe can be directly matched to the spacetime for a matter-dominated Einstein–de Sitter universe. Thus, this can serve as a model of a universe filled with radiation that suddenly is converted to matter and antimatter, or a universe filled with matter and antimatter that suddenly annihilates to leave radiation. This matching is shown to hold for asymptotically Einstein–de Sitter cosmological black hole spacetimes, yielding simplistic models of primordial black holes that evolve between being in radiation-dominated universes and matter-dominated universes.

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Authors and Affiliations

  1. Astronomy & Astrophysics, University of Toronto, 60 Saint George St, Toronto, ON, Canada, M5S 3H8

    M. L. McClure

  2. Mathematics & Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa

    M. L. McClure

  3. Astronomy & Astrophysics, University of Toronto at Scarborough, 1265 Military Trail, Toronto, ON, Canada, M1C 1A4

    C. C. Dyer

Authors
  1. M. L. McClure
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  2. C. C. Dyer
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Correspondence to M. L. McClure.

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McClure, M.L., Dyer, C.C. Matching radiation-dominated and matter-dominated Einstein–de Sitter universes and an application for primordial black holes in evolving cosmological backgrounds. Gen Relativ Gravit 38, 1347–1354 (2006). https://doi.org/10.1007/s10714-006-0321-2

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  • DOI: https://doi.org/10.1007/s10714-006-0321-2

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