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Committee for collaboration of Czech Republic

with Joint Institute for Nuclear Research in Dubna Login
Exact Solution for a Black Hole Embedded in a Nonstatic Dust-filled Universe

Author
Kopteva E. Silesian University in Opava, Czech Republic
Jalůvková Pavlína, Mgr. Faculty of Philosophy and Science SU in Opava
Bormotova Iryna, Mgr. Faculty of Philosophy and Science SU in Opava, JINR Dubna
Stuchlik Z. Silesian University in Opava, Czech Republic

Year
2018

Scientific journal
Astrophysical Journal, 866 (2), 98

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Abstract
An exact solution of the Lemaitre-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.

Cite article as:
E. Kopteva, P. Jalůvková, I. Bormotova, Z. Stuchlik, "Exact Solution for a Black Hole Embedded in a Nonstatic Dust-filled Universe", Astrophysical Journal, 866 (2), 98 (2018)