Abstract
The evolution and collapse of a gaseous, self-gravitating sphere in the presence of an internal massive toroidal vortex analogous to the vortex created by the toroidal magnetic field of the Sun is considered. When thermal pressure is taken into account, for sufficiently high masses, the instability is preserved even for a polytropic index γ < 4/3. In the case of a degenerate gas, the evolution of the electrons and neutrons differs appreciably. In the ultrarelativistic limit, an interval of stablemasses arises in a neutron gas, between a minimum mass that depends on the circulation velocity in the vortex and the critical mass for the formation of a black hole. This suggests toroidal vortex fields as a possible physical origin for the observed narrow spectrum of neutron-star masses.
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References
A. S.Monin, Sov. Phys. Usp. 23, 594 (1980).
E. R. Priest, SolarMagnetohydrodynamics (Reidel, London, 1982; Mir, Moscow, 1985).
H. Lamb, Hydrodynamics (Cambridge Univ., Cambridge, 1993).
P. G. Saffman, Vortex Dynamics, CambridgeMonographs onMechanics (Cambridge Univ. Press, Cambridge, 1993).
K. Yu. Bliokh and V. M. Kontorovich, Astron. Lett. 29, 724 (2003).
Ya. B. Zeldovich and I.D. Novikov, Gravitation Theory and Stellar Evolution (Moscow, Nauka, 1971) [in Russian].
S. Shapiro and S. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Mir, Moscow, 1985; Wiley, New York, 1983).
E. Yu. Bannikova and V. M. Kontorovich, in Proceedings of the 2nd Gravitational Conference on Gravitation, Cosmology, and Relativistic Astrophysics (Khar’kov, 2003), p. 70.
E. Yu. Bannikova, K. Yu. Bliokh, and V. M. Kontorovich, in JENAM 2003: New Deal in European Astronomy: Trends and Perspectives (Budapest, 2003), p. 12.
E. Yu. Bannikova, K. Yu. Bliokh, and V. M. Kontorovich, Visn. Astron. Shkoli 3, 100 (2004).
A. M. Cherepashchuk, Phys. Usp. 45, 896 (2002).
A. M. Cherepashchuk, Phys. Usp. 57, 359 (2014).
K. Yu. Bliokh and V. M. Kontorovich, J. Exp. Theor. Phys. 96, 985 (2003).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1995; Pergamon, Oxford, 1980).
V. M. Lipunov, Astrophysics of Neutron Stars (Nauka, Moscow, 1987; Springer, Heidelberg, 1992).
G. S. Bisnovatyi-Kogan, Relativistic Astrophysics and Physical Cosmology (KrASAND URSS, Moscow, 2011) [in Russian].
L. L. Kitchatinov, Phys. Usp. 48, 449 (2005).
G. S. Golitsyn, Statistics and Dynamics of Natural Processes and Phenomena: Methods, Instrumentation, and Results (KrASAND URSS, Moscow, 2013) [in Russian].
V. Bjerknes, Astrophys. J. 64, 93 (1926).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).
K. Makishima, T. Enoto, S. Hiraga, T. Nakano, K. Nakazawa, S. Sakurai, M. Sasano, and H. Murakami, Phys. Rev. Lett. 112, id.171102 (2014).
E. N. Lorentz, The Nature and Theory of the General Circulation of the Atmosphere (World Meteorological Organization, Geneva, Switzerland, 1967).
V. P. Ruban, J. Exp. Theor. Phys. 119, 83 (2014).
E. Yu. Bannikova, K. Yu. Bliokh, and V. M. Kontorovich, in Nonlinear Waves, Collection of Articles (Inst. Prikl. Fiz. RAN, Nizh. Novgorod, 2005), p. 243 [in Russian].
N. A. Featherstone and M. S. Miesch, Astrophys. J. 804, id. 67 (2015).
R. D. Simitev and F. H. Busse, Astrophys. J. 749, id. 9 (2012).
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Original Russian Text © V.M. Kontorovich, 2016, published in Astronomicheskii Zhurnal, 2016, Vol. 93, No. 3, pp. 285–294.
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Kontorovich, V.M. A toroidal vortex field as an origin of the narrow mass spectrum of neutron stars. Astron. Rep. 60, 322–331 (2016). https://doi.org/10.1134/S1063772916030094
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DOI: https://doi.org/10.1134/S1063772916030094