KOPTĚVA, Olena, Pavlína JALŮVKOVÁ, Iryna BORMOTOVA and Zdeněk STUCHLÍK. Exact Solution for a Black Hole Embedded in a Nonstatic Dust-filled Universe. Astrophysical Journal. 2018, vol. 866, No 2, p. "98-1"-"98-14", 14 pp. ISSN 0004-637X. Available from: https://dx.doi.org/10.3847/1538-4357/aadcaf.
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Basic information
Original name Exact Solution for a Black Hole Embedded in a Nonstatic Dust-filled Universe
Authors KOPTĚVA, Olena (804 Ukraine, guarantor, belonging to the institution), Pavlína JALŮVKOVÁ (203 Czech Republic, belonging to the institution), Iryna BORMOTOVA (804 Ukraine, belonging to the institution) and Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution).
Edition Astrophysical Journal, 2018, 0004-637X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19240/18:A0000248
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.3847/1538-4357/aadcaf
UT WoS 000448150800012
Keywords in English black hole physics; cosmology: theory; gravitation
Tags International impact, Reviewed
Links GB14-37086G, research and development project.
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 4/4/2019 11:48.
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.
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