Trapped surfaces due to concentration of gravitational radiation

DOI10.1103/PhysRevLett.66.2421zbMath0968.83504OpenAlexW1966567703WikidataQ74507280 ScholiaQ74507280MaRDI QIDQ4491938

Robert Beig, Niall Ó Murchadha

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrevlett.66.2421

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Related Items (16)

About the mass of certain second order elliptic operators ⋮ Existence of black holes due to concentration of angular momentum ⋮ Inequalities between size and charge for bodies and the existence of black holes due to concentration of charge ⋮ Quasi-local mass and the existence of horizons ⋮ A note on asymptotically flat metrics on ℝ³ which are scalar-flat and admit minimal spheres ⋮ Asymptotically hyperbolic metrics on the unit ball with horizons ⋮ Inequalities between size, mass, angular momentum, and charge for axisymmetric bodies and the formation of trapped surfaces ⋮ Gravitational holography and trapped surfaces ⋮ Mass functions of a compact manifold ⋮ Multi-localized time-symmetric initial data for the Einstein vacuum equations ⋮ Gravitational collapse of vacuum gravitational field configurations ⋮ Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons ⋮ Mass endomorphism, surgery and perturbations ⋮ Double-slit interference pattern from single-slit screen and its gravitational analogues ⋮ Yamabe numbers and the Brill-Cantor criterion ⋮ An isoperimetric constant associated to horizons in \(S^3\) blown up at two points

Cites Work

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• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• The existence of a black hole due to condensation of matter
• Results and open problems in mathematical general relativity
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Solution of the local mass problem in general relativity
• The bag of gold reopened
• The Yamabe problem
• Gravitational Collapse and Space-Time Singularities
• On Variations of Metrics.

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