Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Seminar of Department of Theoretical Physics - Peter Mészáros (29.10.2024)

Tuesday 29.10.2024 at 14:00, Lecture room F1/125


16. 10. 2024 16.06 hod.
By: Peter Maták

Peter Mészáros:
Schwarzschild spacetime with extra compact dimensions

Abstract:
There are two branches of 1+(3+n)-dimensional spacetimes with (1+3)-di\-men\-si\-o\-nal part corresponding to spherically symmetric spacetime and with Euclidean symmetry in n extra dimensions which satisfy vacuum Einstein field equations. One branch is a trivial extension of the Schwarzschild spacetime, while the second branch is nontrivial. The extra dimensions may be compactified, so that, in principle, these solutions may be relevant in our (1+3)-dimensional Universe. We will discuss some unusual features of the nontrivial case, based on tests through Newtonian limit, Kretschmann scalar invariant, and conserved energy defined through Landau-Lifshitz stress-energy pseudotensor. These tests indicate nonphysical properties.