A family of asymptotically hyperbolic manifolds with arbitrary energy-momentum vectors

DOI10.1063/1.4759581zbMath1278.83009arXiv1205.1377OpenAlexW3100779128MaRDI QIDQ2872332

Julien Cortier

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1377

zbMATH Keywords

Yamabe equation

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

On the center of mass of asymptotically hyperbolic initial data sets

Cites Work

• Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
• Asymptotically hyperbolic metrics on the unit ball with horizons
• The mass of asymptotically hyperbolic manifolds.
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Positive energy-momentum theorem for AdS-asymptotically hyperbolic manifolds
• Rigidity and positivity of mass for asymptotically hyperbolic manifolds
• Coordinate Invariance and Energy Expressions in General Relativity
• The mass of an asymptotically flat manifold
• Killing initial data
• Geometric invariance of mass-like asymptotic invariants
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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