Seminář se koná v úterý ve 13:10 v posluchárně ÚTF MFF UK
v 10. patře katedrové budovy v Tróji, V Holešovičkách 2, Praha 8
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.
We comment on the recently introduced Gauss-Bonnet gravity in four dimensions. We argue that it does not make sense to consider this theory to be defined by a set of D→4 solutions of the higher-dimensional Gauss-Bonnet gravity. We show that a well-defined D→4 limit of Gauss-Bonnet Gravity is obtained generalizing a method employed by Mann and Ross to obtain a limit of the Einstein gravity in D=2 dimensions. This is a scalar-tensor theory of the Horndeski type obtained by dimensional reduction methods. By considering simple spacetimes beyond spherical symmetry (Taub-NUT spaces) we show that the naive limit of the higher-dimensional theory to four dimensions is not well defined and contrast the resultant metrics with the actual solutions of the new theory. Theory and solutions in lower dimensions will also be briefly discussed.
Distanční seminář na platformě Zoom. ID 969 3716 4466
Seminář bude promítán též v posluchárně ÚTF. Kapacita posluchárny však bude omezena na 15 lidí.
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]
Seminář bude přístupný také na platformě Zoom: ID 969 7176 0443
Jiří Bičák Oldřich Semerák