THE SEMINAR

THEORY OF DUALITY

DEPARTMENT OF MATHEMATICAL METHODS IN PHYSICS



On the 27th of November 2014, at 10:15 a.m.

Jacek Jezierski (KMMF WFUW)

will give a talk on

"Hidden symmetries in General Relativity"

Abstract
Conformal Yano–Killing (CYK) tensors are natural generalizations of conformal covector fields to the case of higher-rank differential forms. They are often responsible for hidden symmetries. Several spacetimes possess CYK tensors: Minkowski (the components are quadratic polynomials), (anti)de Sitter (a natural construction), Kerr (type-D spacetime), Taub-NUT (they lead to new symmetric conformal Killing tensors). CYK tensors are useful in several situations:
– Geometric definition of the asymptotic flat spacetime: strong asymptotic flatness which guarantees well-defined total angular momentum;
– Conserved quantities: asymptotic gravitational charges;
– Quasi-local mass and "rotational energy" for the Kerr black hole;
– Symmetries of the Dirac operator;
– Symmetries of Maxwell equations.
Thus, these nice geometrical objects are well worth studying in detail.

The seminar takes place on Thursdays from 10:15 a.m. to 12:00 in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5, Warszawa.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.