On The Transport Theory of Classical Gases in Rindler Space

Soma Mitra; Somenath Chakrabarty

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arXiv · 1701.02667

On The Transport Theory of Classical Gases in Rindler Space

Soma Mitra·Somenath Chakrabarty

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Abstract

We have obtained the Vlasov equation and Boltzmann kinetic equation using Poisson bracket (classical Hamilton equation) and Rindler Hamiltonian. Further, we treat the whole Universe as a statistical system with galaxies as the point particle constituents in large scale structure. Since the collisions of galaxies are very rare phenomena, we assume that the gas with the constituents as point galaxies satisfy Vlasov equation. Considering the astrophysical catastrophic event, e.g., the creation of gravity waves by the collisions of black holes, and further assuming that when such a wave passes through the gas causes a kind of polarization of mass distribution. This polarization of mass distribution will further gives rise to gravitational permittivity or dielectric constant. We have shown that the low frequency gravity waves will be absorbed, whereas the high frequency part will pass through the gas of point galaxies. It is further noticed that the region in space with extremely high gravitational field is transparent to gravity waves. In the other part of this work, using the Boltzmann equation and replacing the collision term by the relaxation time approximation and further assuming a small deviation from the equilibrium configuration of the stellar / galactic plasma in Rindler space, we have obtained the kinetic coefficients. For the first time we have derived an expression for the coefficient of gravitational flow. It has further been shown that in presence of strong gravitational field all the kinetic coefficients become vanishingly small.

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Soma Mitra, Somenath Chakrabarty. 2016-12-30. On The Transport Theory of Classical Gases in Rindler Space. https://arxiv.org/abs/1701.02667

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