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January, 2004 The Trautman-Bondi mass of hyperboloidal initial data sets
Piotr T. Chruściel, Jacek Jezierski, Szymon łęski
Adv. Theor. Math. Phys. 8(1): 83-139 (January, 2004).


We give a definition of mass for conformally compactifiable initial data sets. The asymptotic conditions are compatible with existence of gravitational radiation, and the compactifications are allowed to be polyhomogeneous. We show that the resulting mass is a geometric invariant, and we prove positivity thereof in the case of a spherical conformal infinity. When R(g) -- or, equivalently, trgK -- tends to a negative constant to order one at infinity, the definition is expressed purely in terms of three-dimensional or two-dimensional objects.


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Piotr T. Chruściel. Jacek Jezierski. Szymon łęski. "The Trautman-Bondi mass of hyperboloidal initial data sets." Adv. Theor. Math. Phys. 8 (1) 83 - 139, January, 2004.


Published: January, 2004
First available in Project Euclid: 2 August 2004

zbMATH: 1086.81066
MathSciNet: MR2086675

Rights: Copyright © 2004 International Press of Boston

Vol.8 • No. 1 • January, 2004
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