Skip to main content
SpringerLink
Log in

Bifurcation points of rotating magnetized Newtonian polytropes with an index close to unity

  • Physics of Solid State and Condensed Matter
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

The existence of bifurcation points of Newtonian rotating polytropes in the interval of polytropic index 0.9989 < n ≤ 1.0795, in which asymmetric with respect to the axis of rotation solutions describing the density distribution are branched, is proved for the first time. It is shown that, in this interval of values of n, the parameter of the rotation rate at critical points ɛ k takes values 0.0442 > ɛ k ≥ 0.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. E. Appell, Equilibrium Figures of Rotating Homogeneous Fluids (Leningrad, 1936) [in Russian].

  2. S. Chandrasekar, Ellipsoidal Figures of Equilibrium (Mir, Moscow, 1982; Yale Univ., New Haven, 1969).

    Google Scholar 

  3. J. L. Tassoul, Theory of Rotating Stars (Mir, Moscow, 1982; Princeton Univ., 1978).

    Google Scholar 

  4. V. P. Tsvetkov, “Gravitational Radiation of Rapidly Rotating Drop of Homogeneous Magnetized Gravitating Liquid Near Bifurcation Point,” Phys. Lett. A 105, 34–35 (1984).

    Article  ADS  Google Scholar 

  5. J. H. Jeans, Problems of Cosmogony and Stellar Dynamics (Univ. Press, Cambridge, 1919).

    MATH  Google Scholar 

  6. R. A. James, “The Structure and Stability of Rotating Gas Masses,” Astrophys. J. 140, 552 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  7. P. R. Brady et al., “Searching for Periodic Sources with LIGO,” Phys. Rev. D: Part. Fields 57, 2101–2116 (1998).

    ADS  Google Scholar 

  8. E. V. Bespalko et al., “A Gravitating Rapidly Rotating Superdense Configuration with Realistic Equations of State,” Mat. Model. 118(3), 103–119 (2006).

    MathSciNet  Google Scholar 

  9. V. A. Fock, Theory of Space, Time, and Gravity (Gos. Izd-vo fiz.-mat. lit, Moscow, 1961) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tver State University, Tver, Russia

    S. A. Mikheev & V. P. Tsvetkov

Authors
  1. S. A. Mikheev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. P. Tsvetkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © S.A. Mikheev, V.P. Tsvetkov, 2008, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2008, No. 4 (146), pp. 681–693.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mikheev, S.A., Tsvetkov, V.P. Bifurcation points of rotating magnetized Newtonian polytropes with an index close to unity. Phys. Part. Nuclei Lett. 5, 405–412 (2008). https://doi.org/10.1134/S1547477108040122

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477108040122

PACS numbers

Search

Navigation