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Black Hole Physics: Basic Concepts and New Developments, by Valeri P. Frolov and Igor D. Novikov
Preface. I. Basic Concepts. 1. Introduction: Brief History of Black Hole Physics. 2. Spherically Symmetric Black Holes. 3. Rotating Black Holes. 4. Black Hole Perturbations (with N. Andersson). 5.
Symmetries of cosmological Cauchy horizons
We consider analytic vacuum and electrovacuum spacetimes which contain a compact null hypersurface ruled byclosed null generators. We prove that each such spacetime has a non-trivial Killing
Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory
This is the first paper of a five part work in which we study the Lagrangian and Hamiltonian structure of classical field theories with constraints. Our goal is to explore some of the connections
Stability of the Ricci flow at Ricci-flat metrics
If g is a metric whose Ricci flow g (t) converges, one may ask if the same is true for metrics g that are small perturbations of g. We use maximal regularity theory and center manifold analysis to
Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
We prove in detail a theorem which completes the evaluation and parametrization of the space of constant mean curvature (CMC) solutions of the Einstein constraint equations on a closed manifold. This
Gluing and Wormholes for the Einstein Constraint Equations
Abstract: We establish a general gluing theorem for constant mean curvature solutions of the vacuum Einstein constraint equations. This allows one to take connected sums of solutions or to glue a
Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
With the covariant formulation in hand from the first paper of this series (physics/9801019), we begin in this second paper to study the canonical (or ``instantaneous'') formulation of classical