Initial data sets with ends of cylindrical type. I: The Lichnerowicz equation

DOI10.1007/s00023-014-0339-zzbMath1314.83011arXiv1201.4937OpenAlexW2088876032MaRDI QIDQ2340950

Piotr T. Chrusciel, Rafe R. Mazzeo

Publication date: 21 April 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4937

zbMATH Keywords

vacuumcosmological constantLichnerowicz equationinitial data setscylindrical type

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items

The general relativistic constraint equations ⋮ Einstein-type elliptic systems ⋮ Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary ⋮ Small deformations of extreme five dimensional Myers-Perry black hole initial data ⋮ Bifurcating solutions of the Lichnerowicz equation ⋮ The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools ⋮ The extended Bogomolny equations and generalized Nahm pole boundary condition ⋮ On perturbations of extreme Kerr-Newman black holes and their evolution ⋮ A limit equation criterion for solving the Einstein constraint equations on manifolds with ends of cylindrical type

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