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    Exact Solution for a Black Hole Embedded in a Nonstatic Dust-filled Universe

    Zdeněk Stuchlík · Říjen 01, 2018 · Fyzika · 0 comments
    0

    Publication date: Oct 2018

    Abstract:
    An exact solution of the Lemaître-Tolman-Bondi class is investigated as
    a possible model of the Schwarzschild-like black hole embedded in a
    nonstatic dust-filled universe for the three types of spatial curvature.
    The solution is obtained in comoving coordinates by means of the mass
    function method. It is shown that the central part of space contains a
    Schwarzschild-like black hole. The R-T structure of the resulting
    spacetime is built. It is shown that the solution includes both the
    Schwarzschild and Friedmann solutions as its natural limits. The
    geodesic equations for test particles are analyzed. The particle
    observable velocities are found. The trajectories of the test particles
    are built from the point of view of both comoving and distant observers.
    For the distant observer, the results coincide with the Schwarzschild
    picture within a second-order accuracy near the symmetry center.

    Authors:
    Kopteva, E.; Jalůvková, P.; Bormotova, I.; Stuchlík, Z.;

    https://ui.adsabs.harvard.edu/abs/2018ApJ…866…98K

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