Geodesic
A gravitating rapidly rotating superdense configuration with realistic state equations
Matematičeskoe modelirovanie, Tome 18 (2006) no. 3, pp. 103-119 
E. V. Bespalko; S. A. Miheev; I. V. Puzynin; V. P. Tsvetkov. A gravitating rapidly rotating superdense configuration with realistic state equations. Matematičeskoe modelirovanie, Tome 18 (2006) no. 3, pp. 103-119. http://geodesic.mathdoc.fr/item/MM_2006_18_3_a8/
@article{MM_2006_18_3_a8,
     author = {E. V. Bespalko and S. A. Miheev and I. V. Puzynin and V. P. Tsvetkov},
     title = {A gravitating rapidly rotating superdense configuration with realistic state equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--119},
     year = {2006},
     volume = {18},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A mathematical model of a gravitating, rapidly rotating, superdense configuration has been constructed using Bethe–Johnson's, Oppenheimer–Volkov's and Raid's equations for a nuclear matter state. An existence of critical solutions of the equation for hydrostatic equilibrium of the stationary rotating, gravitating, superdense configuration is demonstrated by analytical and numerical calculations. In the bifurcation points with respect to the $\epsilon$ and $e$ model parameters, a derivation of the solutions for dense distribution takes place which are asymmetric with respect to rotation axis. The investigation of these solutions has been performed.

[1] P. R. Brady et al., “Searching for periodic sources with LIGO”, Phys. Rev. D, 57 (1998), 2101–2116 | DOI

[2] A. M. Lyapunov, Sobranie sochinenii, 5, Nauka, M., 1965

[3] Zh. L. Tassul, Teoriya vraschayuschikhsya zvezd, Mir, M., 1982

[4] Ya. B. Zeldovich, I. D. Novikov, Teoriya tyagoteniya i evolyutsiya zvezd, Nauka, M., 1971

[5] G. S. Saakyan, Ravnovesnye konfiguratsii vyrozhdennykh gazovykh mass, Nauka, M., 1972

[6] S. Chendrasekar, Ellipsoidalnye figury ravnovesiya, Mir, M., 1982

[7] S. Veinberg, Gravitatsiya i kosmologiya, Mir, M., 1975

[8] S. Shapiro, S. Tyukolskii, Chernye dyry, belye karliki i neitronnye zvezdy, Ch.1–2, Mir, M., 1985

[9] V. A. Krat, Figury ravnovesiya nebesnykh tel, Izd. AN SSSR, M.-L., 1950 | MR

[10] L. D. Landau, E. M. Lifshits, Teoriya polya, Nauka, M., 1973

[11] L. Likhtenshtein, Figura ravnovesiya vraschayuscheisya zhidkosti, Nauka, M., 1965

[12] A. N. Tsirulev, V. P. Tsvetkov, “Vraschayuschiesya postnyutonovskie konfiguratsii odnorodnoi namagnichennoi zhidkosti, blizkie k ellipsoidam. I,II”, Astronom. zhurnal, 59 (1982), 476–482 ; 666–675 | Zbl | Zbl

[13] V. P. Tsvetkov, V. V. Masyukov, “Metod ryadov Burmana-Lagranzha v zadache ob analiticheskom predstavlenii nyutonovskogo potentsiala vozmuschennykh ellipsoidalnykh konfiguratsii”, DAN SSSR, 313:5 (1990), 1099–1102 | MR

[14] V. V. Masjukov, V. P. Tsvetkov, “Nonlinear Effects in Theory of Equilibrium Gravitating, Rapidly Rotating, Magnetized Barotropic Configurations and the Gravitational Radiation from Pulsars”, Transactions, 4 (1993), 41–42

[15] E. R. Uitteker, Dzh. N. Vatson, Kurs sovremennogo analiza, t.I,II, Fizmatgiz, M., 1962

[16] V. V. Ermakov, N. N. Kalitkin, “Optimalnyi shag i regulyarizatsiya metoda Nyutona”, Zh. vychisl. matem. i mat. fiz., 21:2 (1981), 419–497 | MR

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

[18] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Ch.1, Nauka, M., 1976 | MR