@article{SchmidtBaierBleyeretal.1994, author = {Schmidt, Hans-J{\"u}rgen and Baier, Frank W. and Bleyer, Ulrich and Hubrig, Swetlana and Meister, Claudia-Veronika and Schilbach, Elena and Tiersch, Heinz}, title = {Zum Wissenschaftler-Integrationsprogramm}, year = {1994}, language = {de} } @article{DzhunushalievSchmidt2000, author = {Dzhunushaliev, Vladimir and Schmidt, Hans-J{\"u}rgen}, title = {Wormholes and Flux Tubes in the 7D Gravity on the Principal Bundle with SU(2) Gauge Group as the Extra Dimensions}, year = {2000}, language = {en} } @article{Schmidt1994, author = {Schmidt, Hans-J{\"u}rgen}, title = {WIP-Projekt "Kosmologie"}, year = {1994}, language = {de} } @book{Schmidt1994, author = {Schmidt, Hans-J{\"u}rgen}, title = {Why do all the curvature invariants of a gravitational wave vanish?}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 03}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {7 Bl.}, year = {1994}, language = {en} } @article{Schmidt1996, author = {Schmidt, Hans-J{\"u}rgen}, title = {Why do all the curvature invariants of a gravitational wave vanish?}, year = {1996}, language = {en} } @article{CanforaSchmidt2003, author = {Canfora, Fabrizio and Schmidt, Hans-J{\"u}rgen}, title = {Vacuum solutions which cannot be written in diagonal form}, year = {2003}, abstract = {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.}, language = {en} } @article{Schmidt2005, author = {Schmidt, Hans-J{\"u}rgen}, title = {Untitled}, year = {2005}, language = {de} } @book{SchmidtMignemi1995, author = {Schmidt, Hans-J{\"u}rgen and Mignemi, Salvatore}, title = {Two-dimensional higher-derivative gravity and conformal transformations}, year = {1995}, language = {en} } @article{SchmidtMignemi1995, author = {Schmidt, Hans-J{\"u}rgen and Mignemi, Salvatore}, title = {Two-dimensional higher-derivative gravity and conformal transformations}, year = {1995}, language = {en} } @article{GurovichSchmidtTokareva2001, author = {Gurovich, Viktor and Schmidt, Hans-J{\"u}rgen and Tokareva, Ira}, title = {Tunneling of the closed Friedmann Universe with generation of scalar waves}, year = {2001}, abstract = {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.}, language = {en} } @book{SchmidtKluske1995, author = {Schmidt, Hans-J{\"u}rgen and Kluske, Sabine}, title = {Towards a no hair theorem for higher order gravit}, year = {1995}, language = {en} } @article{KluskeSchmidt1996, author = {Kluske, Sabine and Schmidt, Hans-J{\"u}rgen}, title = {Towards a cosmic no hair theorem for higher-order gravity}, year = {1996}, language = {en} } @article{Schmidt2000, author = {Schmidt, Hans-J{\"u}rgen}, title = {Topologische Aspekte in der Kosmologie}, year = {2000}, language = {de} } @article{Schmidt2013, author = {Schmidt, Hans-J{\"u}rgen}, title = {The tetralogy of Birkhoff theorems}, series = {General relativity and gravitation}, volume = {45}, journal = {General relativity and gravitation}, number = {2}, publisher = {Springer}, address = {New York}, issn = {0001-7701}, doi = {10.1007/s10714-012-1478-5}, pages = {395 -- 410}, year = {2013}, abstract = {We classify the existent Birkhoff-type theorems into four classes: first, in field theory, the theorem states the absence of helicity 0- and spin 0-parts of the gravitational field. Second, in relativistic astrophysics, it is the statement that the gravitational far-field of a spherically symmetric star carries, apart from its mass, no information about the star; therefore, a radially oscillating star has a static gravitational far-field. Third, in mathematical physics, Birkhoff's theorem reads: up to singular exceptions of measure zero, the spherically symmetric solutions of Einstein's vacuum field equation with can be expressed by the Schwarzschild metric; for , it is the Schwarzschild-de Sitter metric instead. Fourth, in differential geometry, any statement of the type: every member of a family of pseudo-Riemannian space-times has more isometries than expected from the original metric ansatz, carries the name Birkhoff-type theorem. Within the fourth of these classes we present some new results with further values of dimension and signature of the related spaces; including them are some counterexamples: families of space-times where no Birkhoff-type theorem is valid. These counterexamples further confirm the conjecture, that the Birkhoff-type theorems have their origin in the property, that the two eigenvalues of the Ricci tensor of 2-D pseudo-Riemannian spaces always coincide, a property not having an analogy in higher dimensions. Hence, Birkhoff-type theorems exist only for those physical situations which are reducible to 2-D.}, language = {en} } @article{Schmidt2013, author = {Schmidt, Hans-J{\"u}rgen}, title = {The tetralogy of Birkhoff theorems}, issn = {0001-7701}, year = {2013}, abstract = {We classify the existent Birkhoff-type theorems into four classes: First, in field theory, the theorem states the absence of helicity 0- and spin 0-parts of the gravitational field. Second, in relativistic astrophysics, it is the statement that the gravitational far-field of a spherically symmetric star carries, apart from its mass, no information about the star; therefore, a radially oscillating star has a static gravitational far-field. Third, in mathematical physics, Birkhoff's theorem reads: up to singular exceptions of measure zero, the spherically symmetric solutions of Einstein's vacuum field equation with Lambda = 0 can be expressed by the Schwarzschild metric; for Lambda unequal 0, it is the Schwarzschild-de Sitter metric instead. Fourth, in differential geometry, any statement of the type: every member of a family of pseudo-Riemannian space-times has more isometries than expected from the original metric ansatz, carries the name Birkhoff-type theorem. Within the fourth of these classes we present some new results with further values of dimension and signature of the related spaces; including them are some counterexamples: families of space-times where no Birkhoff-type theorem is valid. These counterexamples further confirm the conjecture, that the Birkhoff-type theorems have their origin in the property, that the two eigenvalues of the Ricci tensor of two- dimensional pseudo-Riemannian spaces always coincide, a property not having an analogy in higher dimensions. Hence, Birkhoff-type theorems exist only for those physical situations which are reducible to two dimensions.}, language = {en} } @article{Schmidt2003, author = {Schmidt, Hans-J{\"u}rgen}, title = {The square of the Weyl tensor can be negative}, year = {2003}, abstract = {We show that the square of the Weyl tensor can be negative by giving an example}, language = {en} } @article{SchmidtRainer1995, author = {Schmidt, Hans-J{\"u}rgen and Rainer, Martin}, title = {The natural classification of real lie algebras}, year = {1995}, language = {en} } @book{BattagliaMayerSchmidt1993, author = {Battaglia Mayer, Alexandra and Schmidt, Hans-J{\"u}rgen}, title = {The de Sitter space-time as attractor solution in eighth order gravity}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1993, 05}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {9 S.}, year = {1993}, language = {en} } @article{Schmidt1999, author = {Schmidt, Hans-J{\"u}rgen}, title = {The classical solutions of two-dimensional gravity}, year = {1999}, language = {en} } @article{SchmidtKasperKluskeetal.1995, author = {Schmidt, Hans-J{\"u}rgen and Kasper, Uwe and Kluske, Sabine and Rainer, Martin and Reuter, Stefan}, title = {Stability properties of the Starobinsky cosmological model}, year = {1995}, language = {en} }