@article{DzhunushalievRurenkoSchmidt2002, author = {Dzhunushaliev, Vladimir and Rurenko, O. and Schmidt, Hans-J{\"u}rgen}, title = {Spherically symmetric solutions in multidimensional gravity with the SU(2) gauge group as the extra dimensions}, year = {2002}, language = {en} } @article{GorbatenkoPushkinSchmidt2002, author = {Gorbatenko, M. V. and Pushkin, A. V. and Schmidt, Hans-J{\"u}rgen}, title = {On a relation between the Bach equation and the equation of geometrodynamics}, year = {2002}, abstract = {The Bach equation and the equation of geometrodynamics are based on two quite different physical motivations, but in both approaches, the conformal properties of gravitation plays the key role. In this paper we present an analysis of the relation between these two equations and show that the solutions of the equation of geometrodynamics are of a more general nature. We show the following non-trivial result: there exists a conformally invariant Lagrangian, whose field equation generalizes the Bach equation and has as solutions those Ricci tensors which are solutions to the equation of geometrodynamics.}, language = {en} } @article{KleinertSchmidt2002, author = {Kleinert, Hagen and Schmidt, Hans-J{\"u}rgen}, title = {Cosmology with curvature-saturated gravitational lagrangian}, year = {2002}, abstract = {We argue that the Lagrangian L(R) for gravity should remain bounded at large curvature, and interpolate between the weak-field tested Einstein-Hilbert Lagrangian and a pure cosmological constant for large R with the curvature- saturated ansatz. The curvature-dependent effective gravitational constant tends to infinity for large R, in contrast to most other approaches where it tends to 0. The theory possesses neither ghosts nor tachyons, but it fails to be linearization stable. On the technical side we show that two different conformal transformations make L asymptotically equivalent to the Gurovich-ansatz on the one hand, and to Einstein's theory with a minimally coupled scalar field with self-interaction on the other.}, language = {en} }