The Lichnerowicz equation on compact manifolds with boundary

DOI10.1088/0264-9381/30/20/205011zbMath1276.83007arXiv1306.1801OpenAlexW1973988574MaRDI QIDQ2864579

Gantumur Tsogtgerel, Michael Holst

Publication date: 25 November 2013

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

Full work available at URL: https://arxiv.org/abs/1306.1801

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (9)

The general relativistic constraint equations ⋮ Initial data for rotating cosmologies ⋮ Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions ⋮ Einstein-type elliptic systems ⋮ Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary ⋮ Non-CMC solutions of the Einstein constraint equations on compact manifolds with apparent horizon boundaries ⋮ A prescribed scalar and boundary mean curvature problem and the Yamabe classification on asymptotically Euclidean manifolds with inner boundary ⋮ 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

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