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Plasma Waves Around Massive Stars in (3+1)-General Relativistic Magnetohydrodynamics

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Abstract

In this article, the propagation of plasma waves around rotating and non-rotating stars is studied in a TPM (Thorne-Price-Macdonald) (3+1)-general relativistic magnetohydrodynamics (GRMHD) formalism. For more simplicity, the plasma around the atmosphere of the stars is considered to be stationary. Using WKB approximation, we derive the local longitudinal and transverse dispersion relations and compare them to the special relativistic congener.

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References

  1. J.D. Bekenstein, G. Betchart, Phys. Rev. D 74, 083009 (2006)

  2. J.A. Petterson, Phys. Rev. D 10, 3166 (1974)

    Article  ADS  Google Scholar 

  3. R. Arnowitt, S. Deser, C.W. Misner, Gravitation: An Introduction to Current Research (Wiley, New York, 1962)

    MATH  Google Scholar 

  4. S.W. Hawking, Nature 248, 30 (1974); Commun. Math. Phys. 43, 199 (1975); Phys. Rev. D 13, 191 (1976)

  5. J.B. Hartle, Phys. Rev. D 8, 1010 (1973); ibid D 9 (1974) 2749

  6. R.S. Hanni, R. Ruffini, Phys. Rev. D 8, 3259 (1973)

    Article  ADS  Google Scholar 

  7. P. Hajicek, Commun. Math. Phys. 36, 305 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  8. R.L. Znajek, Ph.D. Thesis. (University of Cambridge, 1976); Mon. Not. R. Astron. Soc. 185, 833 (1978)

  9. T. Damour, Phys. Rev. D 18, 3598 (1978); Procs. of Second Marcel Grossman Meeting on General Relativity ed. by R. Ruffini (North Holland, Amsterdam 1982), p. 587; Ph.D. Thesis. (University of Paris VI, 1979)

  10. K.S. Thorne, D.A. Macdonald, Mon. Not. R. Astron. Soc. 198, 339 (1982)

    Article  ADS  Google Scholar 

  11. K.S. Thorne, D.A. Macdonald, Mon. Not. R. Astron. Soc. 198, 345 (1982)

    Article  ADS  Google Scholar 

  12. K.S. Thorne, R.H. Price, D.A. Macdonald, Black Holes: The Membrane Paradigm (Yale University Press, New Haven, 1986)

    MATH  Google Scholar 

  13. R. Khanna, Mon. Not. R. Astron. Soc. 294, 673 (1998)

    Article  ADS  Google Scholar 

  14. L. Antón, O. Zantti, J.A. Miralles, J.A. Martí, J. MA Ibánez, J.A. Font, J.A. Pons, Astrophys. J. 637, (2006)

  15. X.-H. Zhang, Phys. Rev. D 39, 2933 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  16. X.-H. Zhang, Phys. Rev. D 40, 3858 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  17. J. Sakai, T. Kawata, J. Phys. Soc. Jpn. 49, 747 (1980)

    Article  ADS  Google Scholar 

  18. V. Buzzi, K.C. Hines, R.A. Treumann, Phys. Rev. D 51, 6663 (1995), ibid 51, 6677 (1995)

  19. H. Shokrgozar-Arani, S. Abarghouei Nejad, R. Ramezani-Arami, Waves Random Complex Media 27, 4 (2017)

    Article  Google Scholar 

  20. M. Atiqur Rahman, Astrophys. Space Sci. 341, 477 (2012)

  21. I.D. Novikov, V.P. Forlov, Physics of Black Holes. (1989)

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Acknowledgements

SAN thanks Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brazil, for a research grant (Grant No. 166099/2020-1).

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Authors and Affiliations

  1. Department of Physics, University of Kashan, Kashan, Iran

    Hassan Shokrgozar Arani, Mahtab Talaei Faghloo & Reza Ramezani Arani

  2. Instituto de Física Teórica, Universidade Estadual Paulista (IFT-UNESP), São Paulo, Brazil

    Salman Abarghouei Nejad

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  1. Hassan Shokrgozar Arani
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  2. Salman Abarghouei Nejad
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  3. Mahtab Talaei Faghloo
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  4. Reza Ramezani Arani
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Correspondence to Salman Abarghouei Nejad.

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Shokrgozar Arani, H., Abarghouei Nejad, S., Talaei Faghloo, M. et al. Plasma Waves Around Massive Stars in (3+1)-General Relativistic Magnetohydrodynamics. Braz J Phys 52, 68 (2022). https://doi.org/10.1007/s13538-022-01051-5

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