Rotating Stars in Relativity

  title={Rotating Stars in Relativity},
  author={N. Stergioulas},
  journal={Living Reviews in Relativity},
  • N. Stergioulas
  • Published 2003
  • Physics, Medicine
  • Living Reviews in Relativity
Rotating relativistic stars have been studied extensively in recent years, both theoretically and observationally, because of the information they might yield about the equation of state of matter at extremely high densities and because they are considered to be promising sources of gravitational waves. The latest theoretical understanding of rotating stars in relativity is reviewed in this updated article. The sections on the equilibrium properties and on the nonaxisymmetric instabilities in f… Expand

Paper Mentions

Oscillations and instabilities of fast rotating neutron stars
We present our results of our study of the oscillations and instabilities of rapidly rotating relativistic stars in the Cowling approximation. This is the first study of its kind and providesExpand
Instabilities of Relativistic Stars
Stable relativistic stars in uniform rotation form a two-parameter family, parametrized by mass and angular velocity. Limits on each of these quantities are associated with relativisticExpand
Rotating stars in relativity
The latest theoretical understanding of rotating stars in relativity is reviewed and several new sections have been added on equilibria in modified theories of gravity, approximate universal relationships, the one-arm spiral instability, and on analytic solutions for the exterior spacetime. Expand
Adopting the equation of states (EOSs) from the relativistic mean field (RMF) theory, the relationships among the keplerian frequency fK, gravitational mass M and radius R for the rapidly rotatingExpand
Non-rotating and slowly rotating stars in classical physics
Equations are given for the calculation of the equilibrium configurations of slowly rotating stars in the framework of classical physics. In particular, prescriptions have been given to find theExpand
Oscillations of rapidly rotating relativistic stars
Nonaxisymmetric oscillations of rapidly rotating relativistic stars are studied using the Cowling approximation. The oscillation spectra have been estimated by Fourier transforming the evolutionExpand
Perturbative approach to the structure of rapidly rotating neutron stars
We construct models of rotating stars using the perturbative approach introduced by J. Hartle in 1967, and a set of equations of state proposed to model hadronic interactions in the inner core ofExpand
Gravitational wave asteroseismology with fast rotating neutron stars
During the birth of a proto-neutron star or the merging of two older compact stars, violent non-radial oscillations may be excited, resulting in the emission of significant amounts of gravitationalExpand
Evolutions of Magnetized and Rotating Neutron Stars
We study the evolution of magnetized and rigidly rotating neutron stars within a fully general relativistic implementation of ideal magnetohydrodynamics with no assumed symmetries in three spatialExpand
Numerical Simulations of Black Hole Formation
Using recent advance in numerical relativity, three-dimensional simula- tions of the formation of black holes through gravitational collapse of rotating stars have been performed with unprecedentedExpand


Rapidly rotating relativistic stars
  • J. Friedman, J. Ipser
  • Physics
  • Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences
  • 1992
Within the last decade, significant progress has been made in modelling rotating stars in general relativity and in relating observable properties to the equation of state of matter at high density.Expand
Structure of rapidly rotating neutron stars
We extend the powerful numerical code for rotating general relativistic polytropes to realistic neutron stars. We compute the fully general relativistic structure of rapidly rotating neutron starsExpand
Axial instability of rotating relativistic stars
Perturbations of rotating relativistic stars can be classified by their behavior under parity. For axial perturbations (r-modes), initial data with negative canonical energy is found with angularExpand
Several recent surprises appear dramatically to have improved the likelihood that the spin of rapidly rotating, newly formed neutron stars (and, possibly, of old stars spun up by accretion) isExpand
Pulsating relativistic stars
In this paper we review the recent developments in the relativistic theory of stellar pulsations with special emphasis on the spacetime or w-modes. We discuss also the excitation of these modes andExpand
Structure and stability of rotating relativistic neutron stars
The aim of this work is twofold : (1) We investigate the influence of rotation on the bulk properties of neutron stars. (2) The limiting angular velocities at which instability against gravitationalExpand
The w-mode instability of ultracompact relativistic stars
In this article we show that the, mainly spacetime, w-modes may become unstable in a rotating ultracompact ($R<3M$) relativistic star. We provide results for the axial modes of a rotating star in theExpand
On the pulsations of relativistic accretion disks and rotating stars : the Cowling approximation
It is shown that the hydrodynamic degrees of the adiabatic pulsations of relativistic fluids (e.g., accretion disks or rotating stars) can be described by a single scalar potential. When theExpand
Slowly rotating relativistic stars
Equations are given which determine the moment of inertia of a rotating relativistic fluid star to second order in the angular velocity with no other approximation being made. The equations alsoExpand
A study of accretion discs around rapidly rotating neutron stars in general relativity and its applications to four low mass x-ray binaries
We calculate the accretion disc temperature profiles, disc luminosities and boundary layer luminosities for rapidly rotating neutron stars considering the full effect of general relativity. WeExpand