Speaker: Péter Mészáros (Comenius University, Bratislava)
Title: Schwarzschild spacetime with extra compact dimensions
Date: Friday, January 17, 2025,14:00
Place: Building 3, Conference room
Abstract:
There are two branches of 1+(3+n)-dimensional spacetimes with (1+3)-dimensional 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 some unusual properties.