Regular Series


Vol. 9 (1978), No. 7, pp. 553 – 656


Photons as a Detector of Gravitational Waves

abstract

Physical and technical problems associated with the application of the photon-graviton resonance for detection of gravitational waves are discussed. An estimation of experimental possibilities in the meter range is given.


Static Solutions of Einstein’s Field Equations for Charged Spheres of Fluid

abstract

Exact interior solutions to Einstein’s field equations for charged static spheres of fluid are obtained in terms of two parameters. For various values of the parameters we generate both previously known solutions and a number of new ones. It is hoped that the investigation may be of some help in connection with studies of stellar structure.


On the Non-Symmetric Unified Held Theory

abstract

It is shown that the common presentation of Einstein’s non-symmetric unified field theory involves a misconception. The theory implies a different approach to physics than General Relativity. The revised interpretation of its structure raises the problem of determination of the metric tensor. A solution of this problem is proposed and it is shown that for a spherically symmetric field it restricts significantly the class of possible solutions of the field equations.


Conservation Laws and Identities in the Non-Symmetric Unified Field Theory

abstract

The conservation laws and Bianchi-type identities are derived for the generalised, non-symmetric unified field theory. Also four identities reducing to the equation of geodesic deviation in the symmetrised case are derived.


Cosmological Implications of the Unified Field Theory

abstract

It is shown that the non-symmetric unified field theory of Einstein leads to a unique cosmological model which accounts well for the observed expansion of the universe. It is suggested that the theory may be empirically tested on the basis of its associated cosmology.


The Relationship Between the Einstein–Strauss and the Einstein–Kaufman Unified Field Theories

abstract

The results of Klotz and Russell on the equivalence of the Einstein–Strauss and the Einstein–Kaufman unified field theories are extended to include general Einstein–Kaufman theories.


Dynamics of a Thin Shell in Reissner–Nordstrøm Geometry

abstract

The radial motion of a thin spherical shell of dust approximated by a singular surface layer in Schwarzschild and Reissner–Nordstrøm geometries is discussed in terms of an effective potential and a development of an event horizon, during collapse of a shell, is investigated.


Padé Approximants and an Electromagnetic Formfactor in \({\mit \Phi }^4\) Model

abstract

In the paper an analytic structure of the electromagnetic formfactor of pseudoscalar particles, interacting via \({\mit \Phi }^4\) hamiltonian, in the coupling constant complex plane is studied and a possibility of applying Padé Approximants (PA) to its perturbation series is considered. The study is based (in the elastic approximation) on the Omnes equation. Serious difficulties are anticipated when trying to apply PA to the series. This conclusion is supported by negative numerical results obtained up to fourth order. For illustration, a simplified model is considered wherein one can study analytic structure of the formfactor in more detail and also the perturbation expansion up to eighth order can be found without excessive difficulties.


Hadronic Pair Production of New Quantum Numbers

abstract

Associated production of strangeness and baryon number is discussed in typical hadronic multiparticle production models. Estimates of charm production are presented.


On the Polarization of the Final Nucleus in the (N, \(\alpha \)) Knock-On Reaction

abstract

In this paper the polarization of the final nucleus in the (N, \(\alpha \)) knock-on reaction is studied. Starting from the density matrix formalism the polarization transfer coefficients are computed. These coefficients describe the transfer of density matrix of the nucleon scattered on \(\alpha \) particles. The capture of a polarized nucleon by the final nucleus gives the polarization vector of that nucleus.


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