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Motion of two gravitating spherical stellar shells around a massive central body is considered. Each shell consists of point particles with the same specific angular momenta and energies. In the case when one can neglect the influence of…

Chaotic Dynamics · Physics 2009-11-10 M. V. Barkov , G. S. Bisnovatyi-Kogan , A. I. Neishtadt , V. A. Belinski

We introduce discrete multivortex solitons in a ring of nonlinear oscillators coupled to a central site. Regular clusters of discrete vortices appear as a result of mode collisions and we show that their stability is determined by global…

Optics · Physics 2011-12-19 Daniel Leykam , Anton S. Desyatnikov

We investigate the oscillation spectrum of rotating Newtonian neutron stars endowed with purely toroidal magnetic fields, using a time evolution code to evolve linear perturbations in the Cowling approximation. The background star is…

Solar and Stellar Astrophysics · Physics 2012-02-10 S. K. Lander , D. I. Jones , A. Passamonti

We study the secular evolution and gravitational wave signature of a newly-formed, rapidly rotating neutron star. The neutron star may arise from core collapse in a massive star or from the accretion-induced collapse of a white dwarf. After…

Astrophysics · Physics 2009-10-22 Dong Lai , Stu Shapiro

We study small-amplitude, nonlinear pulsations of uniformly and differentially rotating neutron stars employing a two-dimensional evolution code for general-relativistic hydrodynamics. Using Fourier transforms at several points inside the…

Astrophysics · Physics 2009-11-10 Nikolaos Stergioulas , Theocharis A. Apostolatos , Jose A. Font

A highly accurate, multi-domain spectral code is used in order to construct sequences of general relativistic, differentially rotating neutron stars in axisymmetry and stationarity. For bodies with a spheroidal topology and a homogeneous or…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Marcus Ansorg , Dorota Gondek-Rosińska , Loïc Villain

Continuous wave gravitational radiation from isolated rotating neutron stars is discussed. The general waveform and orders of magnitude for the amplitude are presented for various known pulsars. The specific case of gravitational radiation…

Astrophysics · Physics 2007-05-23 E. Gourgoulhon , S. Bonazzola

We study nonaxisymmetric perturbations of rotating relativistic stars. modeled as perfect-fluid equilibria. Instability to a mode with angular dependence $\exp(im\phi)$ sets in when the frequency of the mode vanishes. The locations of these…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nikolaos Stergioulas , John L. Friedman

We investigate the nonlinear behaviour of the dynamically unstable rotating star for the bar mode by three-dimensional hydrodynamics in Newtonian gravity. We find that an oscillation along the rotation axis is induced throughout the growth…

Astrophysics · Physics 2008-03-13 Motoyuki Saijo , Yasufumi Kojima

Since the external regions of the envelopes of rapidly rotating early-type stars are unstable to convection, a coupling may exist between the convection and the internal rotation. We explore what can be learned from spectroscopic and…

Solar and Stellar Astrophysics · Physics 2015-05-20 J. Zorec , Y. Fremat , A. Domiciano de Souza , O. Delaa , P. Stee , D. Mourard , L. Cidale , C. Martayan , C. Georgy , S. Ekstrom

The dynamical stability of differentially rotating neutron stars, including hypermassive neutron stars, is of paramount importance in understanding the fate of the post-merger remnant of binary neutron stars mergers and the formation of a…

High Energy Astrophysical Phenomena · Physics 2025-07-09 Paweł Szewczyk , Dorota Gondek-Rosińska , Pablo Cerdá-Durán

We investigate the dynamical instability of the one-armed spiral m=1 mode in differentially rotating stars by means of 3+1 hydrodynamical simulations in Newtonian gravitation. We find that both a soft equation of state and a high degree of…

Astrophysics · Physics 2016-11-02 Motoyuki Saijo , Thomas W. Baumgarte , Stuart L. Shapiro

In order to identify the exact criteria for the formation of two-ring structures in galaxies, we studied the issue of gravitational instability of the corresponding structural vibration modes against the background of a composite disk model…

Astrophysics of Galaxies · Physics 2021-09-29 K. T. Mirtadjieva , K. A. Mannapova

For the first time nonradial oscillations of superfluid nonrotating stars are self-consistently studied at finite stellar temperatures. We apply a realistic equation of state and realistic density dependent model of critical temperature of…

Solar and Stellar Astrophysics · Physics 2015-05-28 A. I. Chugunov , M. E. Gusakov

Highly magnetized neutron stars are promising candidates to explain some of the most peculiar astronomical phenomena, for instance, fast radio bursts, gamma-ray bursts, and superluminous supernovae. Pulsations of these highly magnetized…

High Energy Astrophysical Phenomena · Physics 2023-03-13 Man Yin Leung , Anson Ka Long Yip , Patrick Chi-Kit Cheong , Tjonnie Guang Feng Li

The equations describing nonradial adiabatic oscillations of differentially rotating relativistic stars are derived in relativistic slow rotation approximation. The differentially rotating configuration is described by a perturbative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adamantios Stavridis , Andrea Passamonti , Kostas Kokkotas

We study $r$-modes of a rotating magnetized neutron star, assuming a magnetic dipole field whose axis is aligned with the axis of rotation. We approach the problem by applying a singular perturbation theory to the oscillations of rotating…

Astrophysics · Physics 2009-11-10 Umin Lee

The secular instability and nonlinear evolution of the m=2 f-mode (bar-mode) driven by gravitational radiation reaction in a rapidly rotating, newly formed neutron star are reviewed. There are two types of rotating bars which generate quite…

Astrophysics · Physics 2009-11-06 Dong Lai

Neutron stars such as pulsars and magnetars lose angular momentum primarily through electromagnetic dipole radiation, gravitational waves, $r$-mode oscillation, and also affected by fallback accretion processes. However, anomalous spin…

High Energy Astrophysical Phenomena · Physics 2025-12-29 Indra Kumar Banerjee , Sandeep Chatterjee , Biswarup Das , Ujjal Kumar Dey

Normal mode oscillations in Saturn excite density and bending waves in the C Ring, providing a valuable window into the planet's interior. Saturn's fundamental modes (f modes) excite the majority of the observed waves, while…

Earth and Planetary Astrophysics · Physics 2021-12-20 Janosz W. Dewberry , Christopher R. Mankovich , Jim Fuller , Dong Lai , Wenrui Xu
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