Detection of gravitational waves by the method of light scattering by elastic oscillations

The scheme of gravitational wave detection which uses the phenomenon of light scattering by the elastic wave these waves cause is discussed when the presence of the gravitational waves can be judged by the presence of fine components of the scattered light spectrum. Estimates carried out show the possibility of an experimental realization of the proposed scheme.Translated from Izvestiya VUZ, Fizika, No. 3, pp. 23–27, March, 1973.     

Equations governing the oscillations of a self-gravitating elastic sphere under the influence of gravitational waves

We consider the influence of a plane gravitational wave on the following Newtonian system: a self-gravitating elastic sphere without rotation. We determine the equation governing the elastic oscillations within the framework of the general relativity. We include dissipative processes by using a simple relativistic model of viscoelasticity. If the wavelength is much larger than the dimension of the elastic sphere, we transform these equations into the form derived by Ashby and Dreitlein previously. We also determine the equations governing the elastic oscillations within the framework of the Brans-Dicke scalar-tensor theory of gravitation.     

Optical detection of gravitational waves

We present the fundamentals of gravitational wave antennas in the high frequency domain (ground based detectors) and in the low frequency domain (space antenna). We then discuss the main technological challenges, the fundamental limits and the present status. To cite this article: J.-Y. Vinet, C. R. Physique 8 (2007).     

Toward the detection of gravitational waves

Detection of the gravitational waves predicted by the theory of general relativity is still an open experimental venture. Several detectors designed for the frequency range between 10 Hz and 10 kHz are being built. Their expected sensitivity is near the required level for the detection of realistic astrophysical events. The expected signals and the main sources of noise are discussed together with perspectives in detector improvement.     

On the electromagnetic detection of gravitational waves

Braginsky and Mensky have described a novel gravitational wave detector based on a special gravitational-electromagnetic resonance in an annular waveguide. Their analysis is based on geometrical optics. If the configuration is analyzed as a perturbed boundary-value problem, however, no special resonance is evident. Nor does a more general cavity exhibit such a resonance. This paper concludes with a moral: When investigating the interaction of gravity and electromagnetism, one must be circumspect in applying the eikonal approximation.     

On the electromagnetic detection of gravitational waves

The general principles of the electromagnetic detection of gravitational waves are discussed. A critical comment on a previous paper by Baierlein [1] devoted to the same problem is given.     

Effect of the Earth's gravitational field on the detection of gravitational waves

We consider the laboratory detection of high-frequency gravitational waves in theories of gravitation based on a pseudo-Euclidean space-time. We analyze the effects due to the Earth's gravitational field on the propagation velocities of gravitational and electromagnetic waves in these theories. Experiments to test the predictions of this class of theories are discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, 93–98, November, 1987.Finally, the authors thank A. A. Logunov for interest in the work.     

引力、引力波和引力波的探测

简要地回顾了引力和引力波概念的由来,以及人们为探测引力波所作的各种努力．     

On relativistic deformable solids and the detection of gravitational waves

In this paper, the purpose of which is to complement a preceding work [1], it is shown, in agreement with the theory of relativistic deformable solids developed by A.C. Bringen and his coworkers, that the simplest conceivable dissipative constitutive equation — that of a socalled KelvinVoigt viscoelastic solid — yields a gravitational wave equation of propagation different from that of Weber: specifically, the following third order partial differential equation, $$\frac{{\partial ^2 \theta }}{{\partial t^2 }} - \left( {A + A'\frac{{\partial ^2 \theta }}{{\partial t}}} \right)\frac{{\partial ^2 \theta }}{{\partial x^2 }} = c^2 R_{1441'} $$ which can be solved by use of Fourier transform techniques, and where A and A′ are positive material coefficients.     

Prospects for detection of gravitational waves from intermediate-mass-ratio inspirals

We explore prospects for detecting gravitational waves from stellar-mass compact objects spiraling into intermediate mass black holes (BHs) M approximately 50M to 350M) with ground-based observatories. We estimate a rate for such intermediate-mass-ratio inspirals of 相似文献   

Linear gravitational waves

The equations for a weak gravitational field are investigated without the usual simplifications; attention is paid to the difference between gravitational and electromagnetic waves.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 98–101, February, 1982.     

Imploding-exploding gravitational waves

A solution of Einstein's vacuum field equations is constructed describing an imploding spherical impulsive gravitational wave followed by an exploding similar wave. The two waves propagate in Minkowskian spacetime and the history of the process is the past and future sheets of the null-cone of an event (taken as origin) in the spacetime. The solution is a superposition of two of Penrose's impulsive wave solutions and is described in a single coordinate system in which the metric tensor components are continuous across the histories of the wave fronts.     

The detection of gravitational waves and the new era of multi-messenger astronomy

正For the first time,gravitational waves(GWs),a major prediction of Einstein’s 1915 general theory of relativity(GR),has been detected directly by the two detectors of the Laser Interferometer Gravitational-Wave Observatory(LIGO)[1,     

Using gravitational lenses to detect gravitational waves

Gravitational lenses could be used to detect gravitational waves, because a gravitational wave affects the travel-time of a light ray. In a gravitational lens, this effect produces time-delays between the different images. Thus the bending of light, which was the first experimental confirmation of Einstein's theory, can be used to search for gravitational waves, which are the most poorly confirmed aspect of that same theory. Applying this method to the gravitational lens 0957+561 gives new upper bounds on the amplitude of low-frequency gravitational waves in the universe, and new limits on the energy-density during an early inflationary phase.This Essay received the First Award from the Gravity Research Foundation, 1990-Ed.     

On gravitational and electromagnetic waves

The characteristic manifolds of the systems of equations for the free gravitational and electromagnetic fields are considered. It is shown that these equations are compatible with the existence of wave fronts whose velocity may differ from c.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 46–49, February, 1981.