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January 2005 A gluing construction for non-vacuum solutions of the Einstein-constraint equations
James Isenberg, David Maxwell, Daniel Pollack
Adv. Theor. Math. Phys. 9(1): 129-172 (January 2005).


We extend the conformal gluing construction of Isenberg et al. [19] by establishing an analogous gluing result for field theories obtained by minimally coupling Einstein’s gravitational theory with matter fields. We treat classical fields such as perfect fluids and the Yang–Mills equations as well as the Einstein–Vlasov system, which is an important example coming from kinetic theory. In carrying out these extensions, we extend the conformal gluing technique to higher dimensions and codify it in such a way as to make more transparent where it can, and cannot, be applied. In particular, we show exactly what criteria need to be met in order to apply the construction, in its present form, to any other non-vacuum field theory.


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James Isenberg. David Maxwell. Daniel Pollack. "A gluing construction for non-vacuum solutions of the Einstein-constraint equations." Adv. Theor. Math. Phys. 9 (1) 129 - 172, January 2005.


Published: January 2005
First available in Project Euclid: 29 March 2006

zbMATH: 1101.83005
MathSciNet: MR2193370

Primary: 83C05

Rights: Copyright © 2005 International Press of Boston

Vol.9 • No. 1 • January 2005
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