Seminar is held on Tuesdays at 13:10 pm in the lecture room of the Institute
on the 10th floor of the department building at Trója, V Holešovičkách 2, Prague 8
The Kerr-NUT-(A)dS family of exactly integrable higher dimensional black hole solutions of Einstein's equations is characterized by the existence of a non-degenerate closed conformal Killing-Yano (cCYK) 2-form. Using an exhaustive search, we identify a family of 2nd order propagation identities for the cCYK equation on 2-forms in n>4 dimensions. These identities allow us to project the cCYK equations onto a spacelike surface and thus characterize the initial data for Einstein's equations whose development admits a cCYK, in analogy with the well-known Killing Initial Data that characterize developments admitting Killing vectors. This is joint work with Alfonso García-Parrado. [arXiv:1912.04752]
Generic extensions of General Relativity aiming to explain dark energy typically introduce fifth forces of gravitational origin. In this talk, I will explain how helioseismic observations can provide a powerful and novel tool towards precision constraints of fifth forces, as predicted by general theories for dark energy, and I will discuss the implications for cosmology.
I shall introduce the motion of extended objects with multipole moments occupying a finite size in space. I discuss their various interesting features along with highlighting their distinctive remarks from geodesic orbits. In particular, I shall focus on two particular events: first, orbital dynamics of spinning particles; and second, the multipole interactions between different moments, i.e., monopole, dipole or quadrupole, of the extended test particle and central object. Several other implications involving extended objects will also be mentioned in brief.
Jiří Bičák Oldřich Semerák