A singular lagrangian model for N-body relativistic interactions
A space-time theorem in the de Sitter-world. (Ein Raum-Zeit-Satz für die de Sitter-Welt.)
Chandrasekhar ansatz and the generalized total angular momentum operator for the Dirac equation in the Kerr-Newman metric.
De Sitter-invariant field equations
Dynamics of relative motion of test particles in general relativity
Fractional flux and non-normal diffusion.
Groupes conformes en relativité générale
Infinitesimal holonomy group structure and geometrization
Kinematics of relative motion of test particles in general relativity
Null geodesic congruences, asymptotically-flat spacetimes and their physical interpretation.
On space-time, reference frames and the structure of relativity groups
On the topology of spherically symmetric space-times
Spherically symmetric space-times have attained considerable attention ever since the early beginnings of the theory of general relativity. In fact, they have appeared already in the papers of K. Schwarzschild [12] and W. De Sitter [5] which were published in 1916 and 1917 respectively soon after Einstein's epoch-making work [7] in 1915. The present survey is concerned mainly with recent results pertainig to the toplogy of spherically symmetric space-times. Definition. By space-time a connected...
Ordered Manifolds, Invariant Cone Fields, and Semigroups.
Quasi-local energy-momentum and angular momentum in general relativity.
Quasi-local energy-momentum and the Sen geometry of two-surfaces
We review the main ideas of the two dimensional Sen geometry and apply these concepts i. in finding the `most natural' quasi-local energy-momentum, ii. in characterizing the zero energy-momentum and zero mass configurations and iii. in finding the quasi-local radiative modes of general relativity.
Second-order approximate symmetries of the geodesic equations for the Reissner-Nordström metric and re-scaling of energy of a test particle.
Shock waves and general relativity
Some structural considerations on the theory of gravitational field.
Weakly regular -symmetric spacetimes. The global geometry of future Cauchy developments
We provide a geometric well-posedness theory for the Einstein equations within the class of weakly regular vacuum spacetimes with -symmetry, as defined in the present paper, and we investigate their global causal structure. Our assumptions allow us to give a meaning to the Einstein equations under weak regularity as well as to solve the initial value problem under the assumed symmetry. First, introducing a frame adapted to the symmetry and identifying certain cancellation properties taking place...
Максимально подвижные поля тяготения относительно почти проективных движений, сохраняющих квадратичный комплекс геодезических