Computer Science
Scientific paper
Jul 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981zhetf..81....3i&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, vol. 81, July 1981, p. 3-12. In Russian.
Computer Science
14
Collisionless Plasmas, Gravity Waves, Plane Waves, Relativity, Space Plasmas, Gas Dynamics, Kinetic Equations, Maxwell Equation, Vlasov Equations
Scientific paper
The general relativity collisionless kinetic equation, describing a gas in the field of a plane gravitational wave (GW) having an arbitrary amplitude and polarization, is solved. The gas is initially in equilibrium. All macroscopic properties of the collisionless gas in the GW field are calculated for a Boltzmann gas, a gas of massless particles, a completely degenerated Fermi gas, and a nonrelativistic gas of relict neutrinos. It is shown that the background tails of sufficiently intense GWs with amplitudes greater than 6 x 10 to the -11th omega exp -1/2 (where omega is the GW frequency in kHz) can be readily detected by anomalies in the relict radiation spectrum. Moreover, the plane GWs induce a longitudinal electrical field in the plasma. The induced field is described by a set of general relativity Vlasov equations, which can be reduced to a single nonlinear differential equation of the second order. The solution to this equation for a nonrelativistic plasma is described by field oscillations with a plasma frequency modulated by the square of the GW amplitude. The amplitude of the GW-induced current in a metal block with a cross section of 10,000 sq cm, reaches a value of 10 to the -9 A for a GW amplitude of 10 to the -12.
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