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Black Hole Physics: Basic Concepts and New Developments, by Valeri P. Frolov and Igor D. Novikov
- J. Isenberg
- Physics
- 30 November 1998
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
- V. Moncrief, J. Isenberg
- Mathematics
- 1 September 1983
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…
The Ricci Flow: Techniques and Applications
- B. Chow, Sun-Chin Chu, Lei Ni
- Mathematics
- 5 December 2007
Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory
- M. J. Gotay, J. Isenberg, J. Marsden, R. Montgomery
- Physics
- 16 January 1998
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
- Christine Guenther, J. Isenberg, Dan Knopf
- Mathematics
- 2002
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…
Ricci flow of locally homogeneous geometries on closed manifolds
- J. Isenberg, Martin Jackson
- Mathematics
- 1992
Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
- J. Isenberg
- Mathematics
- 1 September 1995
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…
Asymptotic behavior of the gravitational field and the nature of singularities in gowdy spacetimes
- J. Isenberg, V. Moncrief
- Mathematics, Physics
- 1 April 1990
Gluing and Wormholes for the Einstein Constraint Equations
- J. Isenberg, R. Mazzeo, D. Pollack
- Mathematics
- 13 September 2001
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
- M. J. Gotay, J. Isenberg, J. Marsden
- Physics, Mathematics
- 9 November 2004
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…
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