Mathematics – Logic
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ragt.meet..193p&link_type=abstract
Proceedings of RAGtime 8/9: Workshops on black holes and neutron stars, 15-19/19-21 September, 2006/2007, Hradec nad Moravicí, O
Mathematics
Logic
Scientific paper
We focus on main differences between stationary frames in the Kerr geometry and the Kerr-de Sitter geometry. This comparison leads to new solutions on the symmetry axis and in the equatorial plane. This solution can clearly be described and physically interpreted. The most interesting is the case of freely falling stationary observers on the symmetry axis. We found a solution which can show that rotating supermassive black holes (not necessary fast rotating) could differ in a certain way from the same bodies for which the present value of the cosmological constant is not included. We show that an interesting family of "freely falling stationary observers" can be found. We found stationary observers in the equatorial plane, which can become (at a particular radius) counter rotating if they previously co rotated and vice versa. We also describe and compare stationary observers in the equatorial plane between themselves, showing how depends their angular velocity ω at the radius with chosen cosmological parameter y = Λ / 3 and rotational parameter a.
Hledik Stanislav
Petrásek Martin
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