We prove global stability of Minkowski space for the Einstein vacuum equations in harmonic (wave) coordinate gauge for the set of restricted data coinciding with the Schwarzschild solution in the neighborhood of space-like infinity. The result contradicts previous beliefs that wave coordinates are "unstable in the large" and provides an alternative approach to the stability problem originally solved ( for unrestricted data, in a different gauge and with a precise description of the asymptotic behavior at null infinity) by D. Christodoulou and S. Klainerman.
Communications in Mathematical Physics
- Pub Date:
- May 2005
- Mathematics - Analysis of PDEs;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- 64 pages, no figures, submitted, CMP Minor changes and corrections added