A Gluing Construction Regarding Point Particles in General Relativity

A Gluing Construction Regarding Point Particles in General Relativity

Annales Henri Poincare 10:1437-1486,2010 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...

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Bibliographic Details
Main Author: Allen, Iva Stavrov
Format: Journal Article
Language:English
Published: 12-08-2009
Subjects:
Mathematics - Analysis of PDEs
Mathematics - Differential Geometry
Physics - General Relativity and Quantum Cosmology
Online Access:Get full text
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Summary:Annales Henri Poincare 10:1437-1486,2010 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.
DOI:10.48550/arxiv.0908.1781