A Gluing Construction Regarding Point Particles in General Relativity

Details A Gluing Construction Regarding Point Particles in General Relativity A Gluing Construction Regarding Point Particles in General Relativity

2009-08-12

arxiv.org/abs/0908.1781v1

Annales Henri Poincare 10:1437-1486,2010

Mathematics

Differential Geometry

Scientific paper

10.1007/s00023-010-0025-8

We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein constraint equations to compact solutions with potentially non-trivial cosmological constants. The result is a one-parameter family of initial data which has ordinary and scaled "point-particle" limits analogous to those of Gralla and Wald ("A rigorous derivation of gravitational self-force," Class. Quantum Grav. 2008). In particular, we produce examples of initial data which generalize Schwarzschild - de Sitter initial data and gluing theorems of IMP-type.

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