München 2006 – wissenschaftliches Programm
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GR: Gravitation und Relativitätstheorie
GR 102: Mathematische Methoden
GR 102.4: Vortrag
Montag, 20. März 2006, 17:30–17:50, K
Puzzles of isotropic and anisotropic conformal cosmologies. — •Tomasz Denkiewicz1, David Blaschke2, and Mariusz Dabrowski3 — 1Institut für Physik, Universitätsplatz 3, D-18051 Rostock, Germany — 2Gesellschaft für Schwerionenforschung (GSI) mbH, Planckstrasse 1,D-64291 Darmstadt, Germany — 3Instytut fizyki, 70-451 Szczecin, ul. Wielkopolska 15, Poland
Conformal relativity is the theory which allows the invariance with respect to conformal transformations of the metric. It is shown that in the vacuum conformal relativity there are no isotropic Friedmann solutions of non-zero spatial curvature. Only flat isotropic models are consistent with the field equations. On the other hand, it is shown explicitly that the anisotropic non-zero spatial curvature models of Kantowski-Sachs type are admissible in vacuum conformal relativity. It then seems that an additional scale factor which appears in anisotropic models gives an extra deegre of freedom to the theory and makes it less restrictive than in an isotropic Friedmann case.
Acknowledgement: Thanks to DFG-Graduiertenkolleg 567 at University of Rostock.