## Classical general relativityBecause of the vicissitudes of history, the general theory of relativity has never been consistently explored to ascertain whether, in its realm of exact validity, it predicts phenomena which have no counterparts in the Newtonian limit, that is in the limit in which the velocity of light may be considered infinite. Thus, while recent interest in physics has concentrated on such 'frontier areas' as quantum gravity and cosmology, there has also been a quiet but steady progress in the classical domain. The five papers collected in this volume, and presented under the editorship of the famed Nobel Laureate S. Chandrasekhar, illustrate the nature of these advances. Each of them represents developments in areas both of physics and mathematics which disclose unanticipated findings that illustrate the special character of work in these areas. Astrophysicists and mathematical relativists will welcome this unique look at ongoing research. |

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### Contents

Recent advances in the use of separation of variables methods | 1 |

On the symmetries of equilibrium stellar models | 17 |

Rapidly rotating relativistic stars | 55 |

Copyright | |

2 other sections not shown

### Common terms and phrases

adiabatic index angular momentum angular velocity apparent horizon Astrophys astrophysics asymptotic axial modes axisymmetric baryon baryon number black hole Chandrasekhar collapse collisionless matter components configurations coordinates corresponding density described differential Dirac equation dynamical equilibrium stellar models event horizon evolution Fackerell field equations Figure frequency Friedman gravitational field gravitational waves Hertz potential hoop conjecture instability integrated Killing vector field lagrangian Land Lond math maximum metric naked singularities neutron stars newtonian theory non-axisymmetric non-rotating numerical orbit oscillations particle perfect fluid perturbation equations Phil Phys polar modes polar slicing polytropes problem prolate pulsars radial radius rapidly rotating redshift reflection symmetry relativistic relativistic stars relativistic stellar relativity resonant rotating stars S. L. & Teukolsky satisfy Schwarzschild separation of variables sequence Shapiro solution solve space-time spatial spherical star spherical symmetry spheroids spin spinor stability stationary supermassive black holes surface tensor theorem Trans uniformly rotating vanishes viscosity zero