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Generalized permittivity tensor for the description of waves in general relativistic plasma around a Schwarzschild black hole

Published online by Cambridge University Press:  09 April 2014

R. Ramezani-Arani ,
A. Abdoli-Arani  and
H. Shokrgozar-Arani
R. Ramezani-Arani*
Affiliation:
Department of Elementary Particles, Faculty of Physics, University of Kashan, Kashan, Islamic Republic of Iran
A. Abdoli-Arani
Affiliation:
Department of Laser and Photonics, Faculty of Physics, University of Kashan, Kashan, Islamic Republic of Iran
H. Shokrgozar-Arani
Affiliation:
Department of Elementary Particles, Faculty of Physics, University of Kashan, Kashan, Islamic Republic of Iran
*
†Email address for correspondence: ramarani@kashanu.ac.ir
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Abstract

The effects of gravitation on the permittivity tensor in the relativistic electron--positron or ions plasma in a frame of reformulated relativistic two-fluid equations by gravitational effects due to the event horizon using the 3 + 1 formalism of general relativity are investigated. The plasma is assumed to be freefalling in the radial direction toward the event horizon due to the strong gravitational field of a Schwarzschild black hole. The elements of the generalized permittivity tensor in this configuration are obtained. It is shown that the permittivity tensor could be written as a summation of two parts: Hermitian and non-Hermitian parts. Furthermore, the generalized dispersion relations are investigated for transverse and longitudinal modes. In the absence of gravitation effects, correctness of the obtained results is confirmed.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 4 , August 2014 , pp. 619 - 628
Copyright
Copyright © Cambridge University Press 2014 

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References

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