Mass rigidity for hyperbolic manifolds

DOI10.1007/s00220-019-03623-0zbMath1440.81066arXiv1904.12010OpenAlexW2941885392MaRDI QIDQ2187296

Hyun Chul Jang, Daniel Martin, Lan-Hsuan Huang

Publication date: 2 June 2020

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

Full work available at URL: https://arxiv.org/abs/1904.12010

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Hyperbolic 3-manifolds (57K32)

Related Items (13)

The general relativistic constraint equations ⋮ Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ Hyperbolic mass via horospheres ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ Staticity of asymptotically hyperbolic minimal mass extensions ⋮ Static potentials on asymptotically hyperbolic manifolds ⋮ Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces ⋮ The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting ⋮ The positive energy theorem for asymptotically hyperboloidal initial data sets with toroidal infinity and related rigidity results ⋮ Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary ⋮ The case of equality for the spacetime positive mass theorem ⋮ Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS ^*

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