A Gluing Construction Regarding Point Particles in General Relativity
Differential Geometry
2010-05-07 v1 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0908.1781,
title = {A Gluing Construction Regarding Point Particles in General Relativity},
author = {Iva Stavrov Allen},
journal= {arXiv preprint arXiv:0908.1781},
year = {2010}
}