<p>Inhomogeneous Cosmologies III<p>

Session

Thursday Session 2

20 Sept 2018, 11:00

Conveners

Thursday Session 2

• Szymon Sikora (Astronomical Observatory, Jagiellonian University)

5. Expansion and topology dynamics in dust cosmology

Léo Brunswic (CRAL, ENSL, Université Lyon 1)

20/09/2018, 11:00

In 2+1 Buchert's dust framework, the Gauss-Bonnet Theorem allows us to identify the Euler characteristic with a mass of topological origin, with positive or negative sign. Even though this does not extend in a straightforward manner to the 3+1 setting, a Theorem of Mess extended by Bonsante and Barbot suggest the insight extend to higher dimension. We explain how the Euler characteristic may...

30. Black holes on cosmological background

Pavlina Jaluvkova (JINR Dubna, Russia;Silesian university in Opava, Czech Republic)

20/09/2018, 11:30

In this work, we propose the way to construct the model of the cosmological black hole in the dust-filled universe on the basis of the exact solution to the Einstein equations of the Lemaitre-Tolman-Bondi class. We have found such solution as a particular case of Tolman solution with the arbitrary functions chosen in a special way such that the solution includes both the Schwarzschild and...