A hypercontinuous hypersmooth Schwarzschild line element transformation.
A space-time theorem in the de Sitter-world. (Ein Raum-Zeit-Satz für die de Sitter-Welt.)
Accelerated Lyra's cosmology driven by electromagnetic field in inhomogeneous universe.
An application of the special Reissner-Nordström space-time to description of the universe in the neighbourhood of the Planck era
The description of the special Reissner-Nordström space-time in the Planck era is presented and its comparison with the Robertson-Walker space-time is given.
An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens' principle
Black holes in higher dimensions.
By Magri's theorem, self-dual gravity is completely integrable.
Classification of cylindrically symmetric static space-times according to their proper homothetic vector fields.
Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector in pseudo-Riemannian...
Elliptic functions in spherically symmetric solutions of Einstein's equations
theories.
New Vacuum Solutions for Quadratic Metric-Affine Gravity - a Metric Affine Model for the Massless Neutrino?
AMS Subj. Classification: 83C15, 83C35In this paper we present an overview of our research that was presented at theMASSEE International Congress on Mathematics MICOM 2009 in Ohrid, Macedonia. We deal with quadratic metric–affine gravity, which is an alternative theory of gravity. We present new vacuum solutions for this theory and an attempt to give their physical interpretation on the basis of comparison with existing classical models. These new explicit vacuum solutions of quadratic metric–affine...
On certain Einstein space-time
Proper homothetic vector fields in Bianchi type-I space-time.
Pseudo-Riemannian and Hessian geometry related to Monge-Ampère structures
We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four dimensional . We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker embedding equation. We also focus on pullbacks of the pseudo-metrics on two dimensional , and describe the corresponding Hessian structures.
Recursions of symmetry orbits and reduction without reduction.
Spectral methods for numerical relativity.
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
The stability of tachyonic field system by factorization method.
Théorie de la diffusion pour l’équation de Dirac sans masse dans la métrique de Kerr
Pour l’équation de Dirac sans masse à l’extérieur d’un trou noir de Kerr lent nous démontrons la complétude asymptotique. Nous introduisons une nouvelle tétrade de Newman-Penrose pour laquelle l’expression de l’équation ne contient pas de termes à longue portée artificiels. La technique principale utilisée est une estimation de Mourre. La géométrie proche de l’horizon exige d’appliquer une transformation unitaire avant de se retrouver dans une situation dans laquelle le générateur de dilatations...