Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

1 Issue per year


IMPACT FACTOR 2016 (Open Physics): 0.745
IMPACT FACTOR 2016 (Central European Journal of Physics): 0.765

CiteScore 2017: 0.83

SCImago Journal Rank (SJR) 2017: 0.241
Source Normalized Impact per Paper (SNIP) 2017: 0.537

Open Access
Online
ISSN
2391-5471
See all formats and pricing
More options …
Volume 8, Issue 6

Issues

Volume 13 (2015)

Magnetohydrodynamic flows as Newtonian-type gravitational motions

Nikolaos Spyrou / Christos Tsagas
Published Online: 2010-09-05 | DOI: https://doi.org/10.2478/s11534-010-0004-1

Abstract

We study the motion of a magnetised, highly conductive fluid within the framework of Newtonian gravity. Our analysis examines whether and under what conditions magnetohydrodynamic flows can be represented as hydrodynamic ones and then as Newtonian-type gravitational motions. In the latter case we define a generalised effective density and an effective Poisson-type potential, which include the magnetic input and determine the dynamics of the magnetised system. Introducing the dynamical equivalence of the aforementioned two representations, we use it to test mass measurements based on purely gravitational motions. We also provide the generalised Raychaudhuri equation corresponding to the aforementioned effective potential and discuss its implications for the kinematics of the fluid.

Keywords: mathematical physics; magnetohydrodynamics

  • [1] U. Klein, R. Wielebinski, H. W. Morsi, Astron. Astrophys. 190, 41 (1988) Google Scholar

  • [2] P. P. Kronberg, Rep. Prog. Phys. 57, 325 (1994) http://dx.doi.org/10.1088/0034-4885/57/4/001CrossrefGoogle Scholar

  • [3] J.-L. Han, R. Wielebinski, Chinese J. Astron. Ast. 2, 293 (2002) http://dx.doi.org/10.1088/1009-9271/2/4/293CrossrefGoogle Scholar

  • [4] N. I. Shakura, R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973) Google Scholar

  • [5] S. A. Balbus, J. F. Hawley, Astrophys. J. 376, 214 (1991) http://dx.doi.org/10.1086/170270CrossrefGoogle Scholar

  • [6] D. Biskamp, Magnetohydrodynamic Turbulense (Cambridge University Press, Cambridge, 2003) http://dx.doi.org/10.1017/CBO9780511535222CrossrefGoogle Scholar

  • [7] T. V. Ruzmaikina, A. A. Ruzmaikin, Sov. Astron. 14, 963 (1971) Google Scholar

  • [8] D. Papadopoulos, P. Esposito, Astrophys. J. 257, 10 (1982) http://dx.doi.org/10.1086/159956CrossrefGoogle Scholar

  • [9] K. Subramanian, J. D. Barrow, Phys. Rev. D 58, 083502 (1998) http://dx.doi.org/10.1103/PhysRevD.58.083502CrossrefGoogle Scholar

  • [10] M. Giovannini, Int. J. Mod. Phys. D 13, 391 (2004) http://dx.doi.org/10.1142/S0218271804004530CrossrefGoogle Scholar

  • [11] K. Kleidis, N. K. Spyrou, Classical Quant. Grav. 17, 2965 (2000) http://dx.doi.org/10.1088/0264-9381/17/15/308CrossrefGoogle Scholar

  • [12] N. K. Spyrou, C. G. Tsagas, Classical Quant. Grav. 21, 2435 (2004) http://dx.doi.org/10.1088/0264-9381/21/9/017CrossrefGoogle Scholar

  • [13] E. N. Parker, Cosmical Magnetic Fields (Oxford University Press, Oxford, 1979) Google Scholar

  • [14] Y. B. Zeldovich, A. A. Ruzmaikin, D. D. Sokoloff, Magnetic Fields in Astrophysics (McGraw-Hill, New York, 1983) Google Scholar

  • [15] L. Mestel, Stellar Magnetism (Oxford University Press, Oxford, 1999) Google Scholar

  • [16] S. Chandrasekhar, Astrophys. J 158, 45 (1969) http://dx.doi.org/10.1086/150170CrossrefGoogle Scholar

  • [17] N. K. Spyrou, In: P. G. Laskarides (Ed.), Proceedings of the 6th Hellenic Astronomical Conference (2004) 229, http://www.astro.auth.gr/elaset/helasmtg/2003/ Google Scholar

  • [18] N. K. Spyrou, In: N. K. Spyrou, N. Stergioulas, C. Tsagas (Eds.), Cosmology and Gravitational Physics (2006) 57, http://www.astro.auth.gr/Cosmology05/ Google Scholar

  • [19] N. K. Spyrou, In: M. Plionis, S. Cotsakis (Eds.), Modern Theoretical and Observational Cosmology (Kluwer Academic Publishers, Netherlands, 2002) 35 Google Scholar

About the article

Published Online: 2010-09-05

Published in Print: 2010-12-01


Citation Information: Open Physics, Volume 8, Issue 6, Pages 989–994, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-010-0004-1.

Export Citation

© 2010 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
K. Kleidis and N. K. Spyrou
Astronomy & Astrophysics, 2011, Volume 529, Page A26

Comments (0)

Please log in or register to comment.
Log in