Gravitational wave generation by interaction of high power lasers with matter using shock waves

Abstract

We analyze theoretical models of gravitational waves generation in the interaction of high intensity laser with matter. We analyse the generated gravitational waves in linear approximation of gravitational theory. We derive the analytical formulas and estimates for the metric perturbations and the radiated power of generated gravitational waves. Furthermore we investigate the characteristics of polarization and the behaviour of test particles in the presence of gravitational wave which will be important for the detection.The values for integration of the density (6) in Eq. (11) in [5] are x ∈< 0, a), y ∈< 0, b) and z ∈< 0, z L > which splits into < 0, z r ) and (z r , z L >. In other words, we integrate over the box in the Fig. 3 in [5]. We denoteand when z = 0 the function m(0, t) = 1 for every t.The mass moment Eq. (11) in [5] is listed in Appendix (B1) and (B2) where we used (8), then the diagonal com-

Gravitational influence of high power laser pulses

“…Ribeyre and Tikhonchuk [5] position in this paper such a detection device at 10 m from the source, a huge distance compared to those considered for the study of the direct generation of a gravitational deformation by intense light. The results of Kadlecová et al [7] confirm this evaluation by finding for the studied experiment:…”

“…In section 4, we will apply this calculation method to a simple model of a light pulse: the cylinder of light, of constant energy density and moving at the speed of light in vacuum c. In section 5, we will analyze the results obtained by keeping in mind the characteristics of the laser sources that could be used in a laboratory experiment. In section 6, we will summarize our results and compare them with those obtained by Ribeyre and Tikhonchuk [5], Gelfer et al [6] and Kadlecová et al [7] in the case of a massive source. We will also mention the future developments of this paper.…”

“…The first is the explosive acceleration of a quantity of mass, which would generate a deformation of space-time through the quadrupolar acceleration of mass. This deformation can be conceived by the means of a laser striking a target ( [5], [6], [7]) or in a more extreme manner by the explosion of a thermonuclear bomb [8]. The second is the generation of a gravitational deformation by an electromagnetic wave, whose coherence is an advantage in the generation of an important deformation [9].…”

Atom interferometers and a small-scale test of general relativity

“…In general, x l (t) and x u (t) take rather complicated forms and cannot be given analytically for all but the simplest gravitational potentials. Furthermore, they often depend on the specific experimental setup, and therefore we feel that the most appropriate approach is to derive the phaseshift in terms of (25). For a particular experiment, the trajectories x l (t) and x u (t) are just the paths of the assemblies in the presence of non-rotating cylinders and can be obtained using previousely developed techniques (e.g.…”

“…planets or binary systems) rather than human-scale generators. The most promising route toward simultaneous generation and detection of the relativistic effects of gravitation seems to be generation of high-frequency gravitational waves using a strong electromagnetic field [22][23][24][25][26][27]. Nevertheless, the relatively low amplitude h ≈ 10 −31 of waves generated in this way poses a challenge for modern gravitational wave detectors [28,29].…”