Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries

DOI10.1088/0264-9381/32/2/025006zbMath1307.83002arXiv1403.4549OpenAlexW2063251571MaRDI QIDQ5178122

Caleb Meier, Michael Holst

Publication date: 13 March 2015

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4549

zbMATH Keywords

Einstein constraint equationsconformal methodmarginally trapped surfaceasymptotically Euclideannon constant mean curvature

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Complex manifolds as subdomains of Euclidean space (32Q35)

Related Items (10)

The general relativistic constraint equations ⋮ Initial data for rotating cosmologies ⋮ Einstein-type elliptic systems ⋮ Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary ⋮ The Penrose inequality for nonmaximal perturbations of the Schwarzschild initial data ⋮ Stability of the Einstein-Lichnerowicz constraint system ⋮ Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant ⋮ The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools ⋮ Positive energy theorems in fourth-order gravity ⋮ Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS ^*

This page was built for publication: Non-CMC solutions to the Einstein constraint equations on asymptotically Euclidean manifolds with apparent horizon boundaries