Einstein constraint equations on Riemannian manifolds

TitleEinstein constraint equations on Riemannian manifolds
Publication TypeBook Chapter
Year of Publication2016
AuthorsNgô, QAnh
Book TitleGeometric Analysis Around Scalar Curvatures
Series TitleLecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
Chapter3
Series Volume31
Pagination119-210
PublisherWorld Scientific
ISBN Number978-981-3100-54-1
ISBN978-981-3100-54-1
Abstract

Starting from the Einstein equation in general relativity, we carefully derive the Einstein constraint equations which specify initial data for the Cauchy problem for the Einstein equation. Then, we show how to use the conformal method to study these constraint equations.

URLhttp://www.worldscientific.com/doi/abs/10.1142/9789813100558_0003
DOI10.1142/9789813100558_0003