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Rotating relativistic stars / John L. Friedman, University of Wisconsin, Milwaukee and Nikolaos Stergioulas, Aristotle University of Thessaloniki.

By: Contributor(s): Series: Cambridge monographs on mathematical physicsPublisher: Cambridge : Cambridge University Press, 2013Description: 1 online resource (xxiv, 409 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511977596 (ebook)
Subject(s): Genre/Form: Additional physical formats: Print version: : No titleDDC classification:
  • 523.8/874 23
LOC classification:
  • QB843.N4 F75 2013
Online resources:
Contents:
1. Stationary, axisymmetric equilibria -- 2. 3+1 split, action, Lagrangian and Hamiltonian formalisms -- 3. Asymptotics, virial identities and nonaxisymmetric equilibria -- 4. Numerical schemes -- 5. Equilibrium models -- 6. Approximation methods for equilibria -- 7. Perturbation theory of relativistic fluids -- 8. Quasinormal modes -- 9. Stellar stability -- 10. Nonlinear dynamics of rotating relativistic stars -- Appendix A: Lie derivatives, forms, densities, and integration -- Appendix B: The Newtonian limit of the two-potential.
Summary: The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results and applications is accessible to readers who do not need the detailed derivations.
Item type: eBooks
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Stationary, axisymmetric equilibria -- 2. 3+1 split, action, Lagrangian and Hamiltonian formalisms -- 3. Asymptotics, virial identities and nonaxisymmetric equilibria -- 4. Numerical schemes -- 5. Equilibrium models -- 6. Approximation methods for equilibria -- 7. Perturbation theory of relativistic fluids -- 8. Quasinormal modes -- 9. Stellar stability -- 10. Nonlinear dynamics of rotating relativistic stars -- Appendix A: Lie derivatives, forms, densities, and integration -- Appendix B: The Newtonian limit of the two-potential.

The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results and applications is accessible to readers who do not need the detailed derivations.

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