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General Relativity and the Einstein Equations

- Y. Choquet-bruhat
- Physics
- 2009

FOREWORD ACKNOWLEDGEMENTS 1. Lorentzian Geometry 2. Special Relativity 3. General Relativity and the Einstein Equations 4. Schwarzschild Space-time and Black Holes 5. Cosmology 6. Local Cauchy… Expand

401 60

Analysis, manifolds, and physics

- Y. Choquet-bruhat, C. DeWitt-Morette, A. Wightman
- Physics
- 1 December 1977

Contents. Preface. Preface to the second edition. Preface. Contents. Conventions. I. Review of fundamental notions of analysis. II. Differential calculus on banach spaces. III. Differentiable… Expand

648 32

Elliptic systems inHs,δ spaces on manifolds which are euclidean at infinity

- Y. Choquet-bruhat, D. Christodoulou
- Mathematics
- 1 July 1981

214 14

Analysis, Manifolds and Physics. Revised Edition

- Y. Choquet-bruhat, C. DeWitt-Morette, C. Isham
- Physics
- 1 November 1983

75 8

Future Global in Time Einsteinian Spacetimes with U(1) Isometry Group

- Y. Choquet-bruhat, V. Moncrief
- Mathematics, Physics
- 1 December 2001

Abstract. We prove that spacetimes satisfying the vacuum Einstein equations on a manifold of the form¶
$ \Sigma \times U(1) \times R $ where
$ \Sigma $ is a compact surface of genus G > 1 and where… Expand

87 7- PDF

Einstein constraints on asymptotically Euclidean manifolds

- Y. Choquet-bruhat, J. Isenberg, J. York, Jr.
- Physics
- 23 June 1999

We consider the Einstein constraints on asymptotically euclidean manifolds $M$ of dimension $n \geq 3$ with sources of both scaled and unscaled types. We extend to asymptotically euclidean manifolds… Expand

111 7- PDF

The Cauchy Problem on a Characteristic Cone for the Einstein Equations in Arbitrary Dimensions

- Y. Choquet-bruhat, P. Chruściel, J. M. Martín-García
- Mathematics, Physics
- 23 June 2010

We derive explicit formulae for a set of constraints for the Einstein equations on a null hypersurface, in arbitrary space–time dimensions n + 1 ≥ 3. We solve these constraints and show that they… Expand

50 4- PDF

Global Wave Maps on Robertson–Walker Spacetimes

- Y. Choquet-bruhat
- Mathematics
- 1 May 2000

We prove the global existence and uniqueness of wave maps onexpanding universes of dimension three or four, that is Robertson–Walkerspacetimes whose inverse radius is integrable with respect to the… Expand

11 4

On the stability of flat space

- Y. Choquet-bruhat, S. Deser
- Physics
- 1 November 1973

Abstract It is shown that: (1) there exists, near flat space, a neighborhood of nonsingular asymptotically flat weak field solutions of the initial value equations of General Relativity; the… Expand

46 4

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