DOI10.1063/1.531819zbMath0892.46081arXivgr-qc/9606059OpenAlexW3106529158MaRDI QIDQ4339576
Roland Steinbauer
Publication date: 20 July 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/9606059
Nonlinear generalized sections of vector bundles,
Geodesics and geodesic deviation for impulsive gravitational waves,
Unifying order structures for Colombeau algebras,
The methods of gluing manifolds in general relativity,
Interpolating between asymptotic and near horizon symmetries,
The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data,
Modelling and Products of Singularities in Colombeau's Algebra,
Limits of regularizations for generalized function solutions to the Schrödinger equation with `square root of delta' initial value,
Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data,
A nonlinear theory of distributional geometry,
Distributional metrics and the action principle of Einstein–Hilbert gravity,
Generalized regularly discontinuous solutions of the Einstein equations,
Weak second Bianchi identity for static, spherically symmetric spacetimes with timelike singularities,
Generalized solutions of the multidimensional stochastic Burgers equation,
A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves,
Inversion of a ‘discontinuous coordinate transformation’ in general relativity,
Distributional geometry in general relativity,
Ultrarelativistic limits of boosted dilaton black holes,
The classical point electron in Colombeau’s theory of nonlinear generalized functions,
Generalized pseudo-Riemannian geometry
