TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Schwarzschild and Synge once again N2 - We complete the historical overview about the geometry of a Schwarzschild black hole at its horizon by emphasizing the contribution made by Synge in [6] to its clarification Y1 - 2005 UR - http://arXiv.org/abs/gr-qc/0408017 SN - 0001-7701 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Untitled Y1 - 2005 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - The square of the Weyl tensor can be negative N2 - We show that the square of the Weyl tensor can be negative by giving an example Y1 - 2003 UR - http://arXiv.org/abs/gr-qc/0302078 ER - TY - JOUR A1 - Canfora, Fabrizio A1 - Schmidt, Hans-Jürgen T1 - Vacuum solutions which cannot be written in diagonal form N2 - A vacuum solution of the Einstein gravitational field equation is shown to follow from a general ansatz but fails to follow from it if the symmetric matrix in it is assumed to be in diagonal form. Y1 - 2003 UR - http://arXiv.org/abs/gr-qc/0305107 ER - TY - JOUR A1 - Kleinert, Hagen A1 - Schmidt, Hans-Jürgen T1 - Cosmology with curvature-saturated gravitational lagrangian N2 - 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. Y1 - 2002 UR - http://arXiv.org/abs/gr-qc/0006074 ER - TY - JOUR A1 - Dzhunushaliev, Vladimir A1 - Rurenko, O. A1 - Schmidt, Hans-Jürgen T1 - Spherically symmetric solutions in multidimensional gravity with the SU(2) gauge group as the extra dimensions Y1 - 2002 ER - TY - JOUR A1 - Gorbatenko, M. V. A1 - Pushkin, A. V. A1 - Schmidt, Hans-Jürgen T1 - On a relation between the Bach equation and the equation of geometrodynamics N2 - 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. Y1 - 2002 ER - TY - JOUR A1 - Gurovich, Viktor A1 - Schmidt, Hans-Jürgen A1 - Tokareva, Ira T1 - Tunneling of the closed Friedmann Universe with generation of scalar waves N2 - The evolution of the closed Friedmann Universe with a packet of short scalar waves is considered with the help of the Wheeler-DeWitt equation. The packet ensures conservation of homogeneity and isotropy of the metric on average. It is shown that during tunneling the amplitudes of short waves of a scalar field can increase catastrophically promptly if their influence to the metric is not taken into account. This effect is similar to the Rubakov-effect of catastrophic particle creation calculated already in 1984. In our approach to the problem it is possible to consider a self- consistent dynamics of the expansion of the Universe and amplification of short waves. It results in a decrease of the barrier and interruption of amplification of waves, and we get an exit of the wave function from the quantum to the classically available region. Y1 - 2001 ER - TY - BOOK A1 - Hooft, Gerard A1 - Holstein, Barry A1 - Makri, Nancy A1 - Duru, Ismail A1 - Ruffini, Remo A1 - Janke, Wolfhard A1 - Pelster, Axel A1 - Schmidt, Hans-Jürgen A1 - Bachmann, Michael T1 - Fluctuating paths and fields : festschrift dedicated to Hagen Kleinert on the occasion of his 60the birthday Y1 - 2001 SN - 981-02-4648-X PB - World Scientific CY - River Edge, NJ ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Eichfeldtheorie Y1 - 2000 ER - TY - JOUR A1 - Bachmann, Michael A1 - Schmidt, Hans-Jürgen T1 - Period-doubling bifurcation in strongly anisotropic Bianchi I quantum cosmology Y1 - 2000 ER - TY - JOUR A1 - Capozziello, Salvatore A1 - Lambiase, G. A1 - Schmidt, Hans-Jürgen T1 - Nonminimal derivative couplings and inflation in generalized theories of gravity Y1 - 2000 ER - TY - JOUR A1 - Dzhunushaliev, Vladimir A1 - Schmidt, Hans-Jürgen T1 - New vacuum solutions of conformal Weyl gravity Y1 - 2000 ER - TY - JOUR A1 - Dzhunushaliev, Vladimir A1 - Schmidt, Hans-Jürgen T1 - Wormholes and Flux Tubes in the 7D Gravity on the Principal Bundle with SU(2) Gauge Group as the Extra Dimensions Y1 - 2000 ER - TY - JOUR A1 - Dzhunushaliev, Vladimir A1 - Schmidt, Hans-Jürgen T1 - Flux Tubes in Weyl Gravity Y1 - 2000 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Editor's note to A. Sakharov Y1 - 2000 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - On a new conformal duality of spherically symmetric space-times Y1 - 2000 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Topologische Aspekte in der Kosmologie Y1 - 2000 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Allgemeine Relativitätstheorie Y1 - 2000 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - On a new conformal duality of spherically symmetric space-times Y1 - 2000 ER - TY - JOUR A1 - Dzhunushaliev, Vladimir A1 - Schmidt, Hans-Jürgen T1 - 2+2-decomposable solutions of weyl gravity BT - Zwei plus zwei-decomposable solutions of wey gravity Y1 - 1999 ER - TY - JOUR A1 - Bachmann, Michael A1 - Schmidt, Hans-Jürgen T1 - Period-doubling bifurcation in strongly anisotropic Bianchi I quantum cosmology JF - General relativity and quantum cosmology : preprints gr-qc Y1 - 1999 VL - 9912068 ER - TY - JOUR A1 - Dzhunushaliev, Vladimir A1 - Schmidt, Hans-Jürgen T1 - 4D wormhole with signature change in the presence of extra dimensions BT - VierD wormhole with signature change in the presence of extra dimensions JF - General relativity and quantum cosmology : preprints gr-qc Y1 - 1999 UR - http://xxx.soton.ac.uk/form/gr-qc? VL - 9908076 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Cercignani, C., Scaling limits and models in physical process; Basel, Birkhäuser, 1998 BT - Scaling limits and models in physical process Y1 - 1999 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Editorïs note Y1 - 1999 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - The classical solutions of two-dimensional gravity Y1 - 1999 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Exact cosmological solutions of nonlinear F(R)-gravity JF - General relativity and quantum cosmology : preprints gr-qc Y1 - 1998 UR - http://xxx.soton.ac.uk/form/gr-qc? VL - 9808060 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen ED - Rainer, Martin T1 - Current topics in mathematical cosmology : proceedings of the International Seminar ; Potsdam, Germany 30 March 4 April 1998 Y1 - 1998 SN - 981-023627-1 PB - World Scientific CY - Singapore [u.a.] ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Exact cosmological solutions of nonlinear F(R)-gravity Y1 - 1998 SN - 981-023627-1 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Gravitation in 1+1 Dimensionen : exacte Lösungen, Konformrelationen und Beziehungen zum 3+1 -dimensionalen Fall Y1 - 1998 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - A two-dimensional representation of four-dimensional graviational waves Y1 - 1998 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Consequences of the noncompactness of the Lorentz group Y1 - 1998 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Karsinski, A., Inhomogeneous cosmological models; Cambridge, Univ. Press, 1997 BT - Inhomogeneous cosmological models Y1 - 1998 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - 2-dimensional representations of 4-dimensional gravitational waves Y1 - 1998 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - A new duality transformation for fouth-order gravity Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Memorial notice to J. Huang Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Klassiker der Kosmologie Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - A new proof of Birkhoffïs theorem Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Conformal relations and Hamiltonian formlation of fourth-order gravity Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Pictorial examples that distinguish covariant and contravariant vectors Y1 - 1997 ER - TY - JOUR A1 - Meister, Claudia-Veronika A1 - Schmidt, Hans-Jürgen T1 - Jahresberichte 1996 Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Janyska, Josef [u.a.](Ed.) Differential geometry and applications : proceedings of the 6th international conference Brno, August 28 - September 1, 1995; Brno, Masaryk Univ., 1996 BT - Differential geometry and applications : proceedings of the 6th international conference Brno, August 28 - September 1, 1995 Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - New steps towards a proof of the cosmological "no hair" theorem Y1 - 1997 SN - 981-023499-6 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - New conformal relations in fourth-order gravity Y1 - 1997 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Classical mechanics with lapse Y1 - 1996 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Editorial Y1 - 1996 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - How should we measure spatial distances? Y1 - 1996 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Why do all the curvature invariants of a gravitational wave vanish? Y1 - 1996 ER - TY - JOUR A1 - Kluske, Sabine A1 - Schmidt, Hans-Jürgen T1 - Towards a cosmic no hair theorem for higher-order gravity Y1 - 1996 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - An alternate Hamiltonian formulation of fourth-order theories Y1 - 1995 CY - Potsdam ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Comment on conformal transformations single out a unique measure of distance Y1 - 1995 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - How to measure spatial distances? T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1995 VL - 1995, 10 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Kasper, Uwe A1 - Kluske, Sabine A1 - Rainer, Martin A1 - Reuter, Stefan T1 - Stability properties of the Starobinsky cosmological model Y1 - 1995 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen A1 - Mignemi, Salvatore T1 - Two-dimensional higher-derivative gravity and conformal transformations Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Kasper, Uwe T1 - Differentialgeometrische Grundlagen der Kosmologie Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Editorial Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Gedenkkolloquien anläßlich des 100. Todestages von Hermann von Helmholtz, Kolloquium an der Universität Potsdam Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Rainer, Martin T1 - Inhomogeneous cosmological models with homogeneous inner hypersurface geometry Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Kurzautobiographie Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Rainer, Martin T1 - The natural classification of real lie algebras Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - On space-times which cannot be distinguished by curvature invariants Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - On the space of 3-dimensional homogeneous Riemannian manifolds Y1 - 1995 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen A1 - Kluske, Sabine T1 - Towards a no hair theorem for higher order gravit Y1 - 1995 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Mignemi, Salvatore T1 - Two-dimensional higher-derivative gravity and conformal transformations Y1 - 1995 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Consequences of the noncompactness of the Lorentz group Y1 - 1995 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen A1 - Mohazzab, Masoud A1 - Rainer, Martin T1 - Deformations between Bianchi geometries in classical and quantum cosmology T3 - Report IPM Y1 - 1995 VL - 1995, 91 PB - IPM CY - Teheran ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Consequences of the noncompactness of the Lorentz group T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1995 VL - 1995, 09 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Why do all the curvature invariants of a gravitational wave vanish? T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1994 VL - 1994, 03 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Stability and Hamiltonian formulation of higher derivative theories T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1994 VL - 1994, 04 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Reuter, Stefan A1 - Schmidt, Hans-Jürgen T1 - Klassisch konformäquivalente Gravitationstheorien und deren korrespondierende Wheeler-de-Witt-Gleichungen T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1994 VL - 1994, 05 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Baier, Frank W. A1 - Bleyer, Ulrich A1 - Hubrig, Swetlana A1 - Meister, Claudia-Veronika A1 - Schilbach, Elena A1 - Tiersch, Heinz T1 - Zum Wissenschaftler-Integrationsprogramm Y1 - 1994 ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - An alternate Hamiltonian formulation of fourth-order theories T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1994 VL - 1994, 12 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Physikalische Konsequenzen von Gravitationsfeldgleichungen vierter Ordnung bei der Beschreibung des frühen Universums und isolierter Gravitationsfelder Y1 - 1994 PB - Tectum CY - Marburg ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Aufgaben zur Kosmologie Y1 - 1994 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Comment on stability of the semiclassical Einstein equation Y1 - 1994 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Jahresbericht 1993 Y1 - 1994 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen A1 - Reuter, Stefan T1 - Klassisch konformäquivalente Gravitationstheorien und deren korrespondierende Wheeler-de Witt-Gleichungen Y1 - 1994 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Personengenau und sehr prononciert : Leserbrief Y1 - 1994 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - Stability and Hamiltonian formulation of higher derivative theories Y1 - 1994 ER - TY - JOUR A1 - Schmidt, Hans-Jürgen T1 - WIP-Projekt "Kosmologie" Y1 - 1994 ER - TY - BOOK A1 - Battaglia Mayer, Alexandra A1 - Schmidt, Hans-Jürgen T1 - The de Sitter space-time as attractor solution in eighth order gravity T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1993 VL - 1993, 05 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Comment to a paper by J. Simon in Phys. Rev. D 45 (1992) 1953 T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1993 VL - 1993, 06 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen A1 - Wang, Anzhong T1 - Plane domain walls when coupled with the Brans-Dicke scalar field T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 06 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - On inflation within closed Fiedmann universe models T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 02 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - Scale-invariant gravity in two dimensions II T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 03 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Amendola, Luca A1 - Battaglia Mayer, Alexandra A1 - Capozziello, Salvatore A1 - Gottlöber, Stefan A1 - Müller, Volker A1 - Occhionero, Franco A1 - Schmidt, Hans-Jürgen T1 - Generalized sixth-order gravity and inflation JF - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 04 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Gottlöber, Stefan A1 - Schmidt, Hans-Jürgen A1 - Starobinsky, A. A. A1 - Müller, Volker T1 - Models of chaotic inflation JF - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 08 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Schmidt, Hans-Jürgen T1 - On the de Sitter space-time : the geometric foundation of infaltionary cosmology T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 10 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Reuter, Stefan A1 - Schmidt, Hans-Jürgen T1 - On the Wheeler-de Witt equation for homogeneous cosmological models T3 - Preprint / Universität Potsdam, Fachbereich Mathematik Y1 - 1992 VL - 1992, 11 PB - Univ. CY - Potsdam ER -