We obtain the complete analytic extension of the background spacetime of a static spherically symmetric solution of the Einstein–Straus–Klotz unified field theory by embedding it in a six-dimensional pseudo-Euclidean space. This throws some light on the nature of the background spacetime.
It is shown that it is possible to construct an analogue of the Kruskal–Szekercs coordinate system for the background spacetime of a static solution of the Einstein–Straus–Klotz unified field theory. This results in the maximal analytic extension of the metric under consideration.
We present a new self-dual solution to Euclidean gravity which is of the Kantowski–Sachs group type and may be considered as a gravitational instanton.
We investigate Euclidean solutions of the vacuum Einstein equations for diagonal Bianchi types I–IX. Explicit solutions are given for all types which in some cases may be considered as gravitational instanton solutions.
The model of geometrical scaling is used to predict the evolution of the diffractive dip-peak structure of pp and \(\overline {\rm p}\)p differential cross sections with increasing energy. Previous calculation for pp scattering made by Dias de Deus and Kroll is carried out with new data and their predictions are confirmed. Recent data on \(\overline {\rm p}\)p scattering are used to make an analogous analysis for this process as well. It turns out that the \(\overline {\rm p}\)p differential cross section behaves analogously, main difference being that, in the \(\overline {\rm p}\)p case, the dip-peak structure should not completely disappear with increasing energy.
Kaluza–Klein reduction scheme is generalized to a supermanifold which is a product of some basic supermanifold and a classical simple Lie supergroup with nondegenerate Killing form. The resulting theory and its invariances are discussed in detail.
Classical mechanics of colored particles in external, classical Yang–Mills fields is discussed from quantum-mechanical point of view. Theory of classical Yang–Mills fields in the presence of external sources is presented.
The excitation functions for the production of \(^{84}\)Rb, \(^{86}\)Rb, \(^{95}\)Zr (cumulative), \(^{95}\)Nb, \(^{103}\)Ru (cumulative) and \(^{110}\)Ag by \(^{197}\)Au (\(\alpha ,f\)) have been measured in the energy range 65 MeV \(\leqq E_{\alpha } \leqq 155\) MeV using the stacked-foil technique. The data for \(A = 95\) represent almost the total yield for this mass chain; adopting the charge-distribution width parameter value \(c = 0.95\) from the literature the energy dependence of the most probable nuclear charge was derived.
