Gravitational Wave Detection by Bounded Cold Electronic Plasma in a Long Pipe

Abstract

We intend to propose an experimental sketch to detect gravitational waves (GW) directly, using an cold electronic plasma in a long pipe. By considering an cold electronic plasma in a long pipe, the Maxwell equations in 3+1 formalism will be invoked to relate gravitational waves to the perturbations of plasma particles. It will be shown that the impact of GW on cold electronic plasma causes disturbances on the pathes of the electrons. Those electrons that absorb energy from GW will pass through the potential barrier at the end of the pipe. Therefore, crossing of some electrons over the barrier will imply the existence of the GW.

Experimental Structure of Gravitational Wave Detection by Bounded Cold Electronic Plasma in a Long Pipe

“…2 Steady state dynamics of the confined electrons within the pipe, without the GW The confined electrons within the pipe rotate with the two following frequency [1]:…”

“…3 The order of perturbative electrons energy due to GW As GW collide with our system, rotational motion of electron about longitudinal axis, will be perturbed and a special electromagnetic field will be created. In our previous paper [1], we consider such a special mode. We showed in that paper, the perturbed tangential electric field E φ , satisfying the following differential equation:…”

“…In the above expressions, k is the wave number along the z axis, k ′ is the wave number along the φ axis and σ is the amplitude of the shear tensor [4]. Having E φ (r), E r (r) component can be obtained from the following Equation [1]:…”

“…Perturbative velocity field can be obtained from the continuum equation and force balance equation as follow [1]:…”

“…

In the previous paper, we introduced a new method of gravitational waves (GW) detection [1]. In our proposal, we replaced usual Weber's metallic bar with a cold electronic plasma.

…”