An exact solution of the Lemaitre-Tolman-Bondi class for the Schwarzschild-like black hole embedded in the nonstatic spherically symmetric dust-filled universe
Seminars
Seminar “MODERN MATHEMATICAL PHYSICS”
Date and Time: Thursday, 26 April 2018, at 2:30 PM
Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «An exact solution of the Lemaitre-Tolman-Bondi class for the Schwarzschild-like black hole embedded in the nonstatic spherically symmetric dust-filled universe»
Speaker: Pavlina Jaluvkova (BLTP JINR and Opava Univ.)
Abstract:
An exact solution of the Lemaitre-Tolman-Bondi class for the Schwarzschild-like black hole embedded in the nonstatic spherically symmetric dust-filled universe.
An exact solution of the Lemaitre-Tolman-Bondi class is investigated as a possible model of the Schwarzschild-like black hole embedded in a non-static dust-filled universe for three types of spatial curvature. The solution is obtained in comoving coordinates by using the mass-function method. It is shown that the central part of space contains a Schwarzschild-like black hole. The R-T-regions of the resulting spacetime are built. The geodesic equations and observable velocities for test particles are found.