Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case

DOI10.1088/1361-6382/aaeb54zbMath1431.83013arXiv1807.04212OpenAlexW3101990380MaRDI QIDQ5218356

Diego A. Carranza, Juan Antonio Valiente Kroon

Publication date: 2 March 2020

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

Full work available at URL: https://arxiv.org/abs/1807.04212

zbMATH Keywords

mathematical relativityconformal Einstein field equationsAdS-like spacetimesinitial-boundary data problem in relativity

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)

Related Items (10)

Extremal instability for topological black holes ⋮ Gravitational corner conditions in holography ⋮ Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case ⋮ Structure of globally hyperbolic spacetimes-with-timelike-boundary ⋮ Conformal wave equations for the Einstein-tracefree matter system ⋮ The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary ⋮ Type D conformal initial data ⋮ Consequences of analytic boundary conditions in AdS ⋮ Holographic evolution with dynamical boundary gravity ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples

Cites Work

• Unnamed Item
• Unnamed Item
• Conformally covariant systems of wave equations and their equivalence to Einstein's field equations
• Smooth non-zero rest-mass evolution across time-like infinity
• Sharp asymptotics for Einstein-\({\lambda}\)-dust flows
• Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant
• On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
• On ``hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri
• Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
• Conformal wave equations for the Einstein-tracefree matter system
• Lorentzian Einstein metrics with prescribed conformal infinity
• Collapse and revival in holographic quenches
• Conformal Methods in General Relativity
• Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
• Probleme Mixte Hyperbolique Quasi-Lineaire Caracteristique
• Das Rand-Anfangswertproblem für quasilineare Wellengleichungen in Sobolevräumen niedriger Ordnung.
• Gravitational turbulent instability of anti-de Sitter space
• On the nonlinear stability of asymptotically anti-de Sitter solutions
• On the AdS stability problem
• Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case
• Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant

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