Ideal fluid with short-range scalar interactions in the field of a plane gravitational wave

An exact solution of the self-consistent equations of relativistic hydrodynamics and the scalar field equation is obtained. The solution describes motion of a fluid with short-range scalar interactions in the field of a plane gravitational wave.     

Collisional plasma relaxation in the field of a planar gravitational wave

The general relativistic kinetic theory is applied to calculate corrections to the distribution arising from Coulomb collisions of particles in the field of a planar gravitational wave. These corrections are used in corrections to the energy-momentum tensor and in deriving the collisional-damping decrements for gravitational waves for a Boltzmann plasma and for a plasma with degenerate electrons. The largest contribution to the damping decrement in a Boltzmann plasma comes from the ions colliding with the electrons; the decrement increases as T^–1/2. In a plasma with degenerate electrons, the decrement decreases linearly as the temperature falls and tends to zero at zero temperature.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 85–89, October, 1982.We wish to thank G. G. Ivanov for participation in discussion of the paper.     

Interaction of a gravitational wave with an elastic body

The problem concerning the interaction of a weak gravitational wave with an elastic body in the general theory of relativity is solved by the use of the theory of elasticity composed earlier by the author on the basis of a gravitoinertial system of reference (GISR).Translated from Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 67–73, July, 1976.In conclusion, we thank V. I. Rodichev and D. D. Ivanenko for interest in the project and for valuable critical comments.     

Interaction in scalar field theory with a fundamental length

A certain generalization is considered of the apparatus of quantum field theory in a momentum space of constant curvature. The passage to a configuration representation is accomplished by using a Fourier transformation in terms of plane waves of pseudo-Euclidean five-space. In momentum space de Sitter constructed a model of the interaction between complex and real scalar fields and the corresponding graphical technique.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 58–63, April, 1984.     

Attempt to construct a general covariant theory of a scalar gravitational field

An attempt is made in this paper to construct a scalar theory of gravitation which is based on the main postulates of the general theory of relativity (GTR), i.e., on the principle of the equivalence of inertial and gravitational mass and on the principle of general covariance of the theory.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 75–79, April, 1984.     

Interaction of a high-temperature plasma with electromagnetic radiation in a gravitational field

The linearized general-relativistic kinetic equation is used to study the interaction of highfrequency electromagnetic radiation with a fully ionized plasma in a gravitational field;, the pseudotensors of the complex conductivity, permittivity, and absorption of energy are constructed.     

Weak processes in the field of a gravitational wave

The influence of a gravitational wave on the cross section of a decay process is analyzed in this paper. The cross section for a decay in the presence of a strong gravitational wave is found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 25–30, December, 1984.     

Fabry-Perot cavity in the field of a gravitational wave

The structure of the electromagnetic field inside a laser cavity—a gravitational-wave detector—is studied. The properties of the spatial and temporal phases of the standing electromagnetic wave are discussed in detail and the corrections appearing in the electric field of the wave as a result of the action of gravitational radiation on the optical system are determined. Zh. éksp. Teor. Fiz. 113, 398–408 (February 1998)     

A natural scalar field in the einstein gravitational theory

In a Riemannian space-time, the difference between the third-order tensor potentialH of the Riemann tensor (presented in a precedent paper) and the Lanczos generating function of the Weyl tensor is here shown to be characterized by a vectorV , obtained by contractionH . The significant role of such a vector, in the context of general relativity, is then discussed. Particular attention is paid to the scalar potential which characterizes the irrotational part ofV : such a scalar field satisfies a space-time wave equation of the Poisson type. Weak fields are also considered: in the particular case of a static metric, the scalar is found to be proportional to the classic Newtonian potential.This work was done in the sphere of activity of the C.N.R. Groups for mathematical research.     

The electric field induced by a gravitational wave in a superconductor: a principle for a new gravitational wave antenna

In this paper we investigate the effect of gravitational waves (GW) on a superconductor. We find that the key properties of a superconductor, namely zero resistance and perfect diamagnetism, give rise to an important new effect, the presence of an induced electric fieldE(r, t) in the interior of the superconductor. TheE field reacts with the ions and superelectrons. We argue, that not only is the finding of the coupled interactions of gravitation, electromagnetism and superconductivity inherently interesting, but that the inducedE field might provide a significantly more sensitive means of detecting gravitational waves. It appears likely that existing resonant-mass superconducting antennas withL - 3m,Q - 10⁸ could be readily modified to detectE fields induced by GWs of dimensionless amplitudeh - 10^–24 This essay received the first award from the Gravity Research Foundation for the year 1989—Ed.     

Evaluation and preliminary measurement of the interaction of a dynamical gravitational near field with a cryogenic gravitational wave antenna

We present a detailed analysis of the effect of the gravitational field generated by a small rotating quadrupole on a graviational wave antenna and we report on the preliminary measurement of this effect on the Explorer 2270 kg cryogenic gravitational wave antenna of the Rome group. The induced signal had an amplitude twenty times larger than the detector noise when the antenna was equipped with an FET amplifier and was easily detected without requiring integration in time. We remark that with this method we were able to make an absolute calibration of a gravitational wave antenna.     

Experimental study of the dynamic Newtonian field with a cryogenic gravitational wave antenna

We present an experiment performed to study the behaviour of the dynamic gravitational interaction at laboratory scale. We used as field generator a mass quadrupole rotating in the range of 460 Hz and we detected the acceleration field with the cryogenic gravitational wave antenna Explorer of the Rome group. We report the measurements of this interaction as a function of the distance between the field source and the detector. An upper limit on the parameters of a Yukawa-like potential, modeling an hypotetic deviation from the Newtonian law of gravity, is derived. Received: 14 June 1998 / Published online: 16 September 1998