Conformal Methods in General Relativity

DOI10.1017/CBO9781139523950zbMath1368.83004OpenAlexW2491655069MaRDI QIDQ2968766

Publication date: 21 March 2017

Full work available at URL: https://doi.org/10.1017/cbo9781139523950

Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) PDEs in connection with relativity and gravitational theory (35Q75) General relativity (83Cxx)

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Scalar field in AdS2 and representations of SL̃(2,R) ⋮ Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity ⋮ Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant ⋮ The Maxwell-scalar field system near spatial infinity ⋮ The characteristic initial value problem for the conformally invariant wave equation on a Schwarzschild background ⋮ Spectral methods for the spin-2 equation near the cylinder at spatial infinity ⋮ Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes ⋮ On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes ⋮ The conformal Killing spinor initial data equations ⋮ The peeling theorem with arbitrary cosmological constant ⋮ Classical double copy at null infinity ⋮ Asymptotic structure with vanishing cosmological constant ⋮ Asymptotic structure with a positive cosmological constant ⋮ Stable cosmological Kaluza-Klein spacetimes ⋮ Hyperbolic reduction of the Weyl–Lanczos equations ⋮ Polyhomogeneous expansions from time symmetric initial data ⋮ On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime ⋮ The non-linear perturbation of a black hole by gravitational waves. II. Quasinormal modes and the compactification problem ⋮ Spin-0 fields and the NP-constants close to spatial infinity in Minkowski spacetime ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ An ideal conformally covariant characterization of the Kerr conformal structure ⋮ Gluing for the constraints for higher spin fields ⋮ Linearised conformal Einstein field equations ⋮ BMS-supertranslation charges at the critical sets of null infinity ⋮ Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild background ⋮ On a generalized wave equation and its application ⋮ Explorations of the infinite regions of spacetime ⋮ Two-dimensional twistor manifolds and Teukolsky operators ⋮ Revisiting the characteristic initial value problem for the vacuum Einstein field equations ⋮ Evolution equations for a wide range of Einstein-matter systems ⋮ Improved existence for the characteristic initial value problem with the conformal Einstein field equations ⋮ Mini-workshop: Relativistic fluids at the intersection of mathematics and physics. Abstracts from the mini-workshop held December 13--19, 2020 (online meeting) ⋮ The evolution of hyperboloidal data with the dual foliation formalism: mathematical analysis and wave equation tests ⋮ Singularities, black holes, and cosmic censorship: a tribute to Roger Penrose ⋮ The weak null condition in free-evolution schemes for numerical relativity: dual foliation GHG with constraint damping ⋮ Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case ⋮ The hyperboloidal numerical evolution of a good-bad-ugly wave equation ⋮ Hyperboloidal framework for the Kerr spacetime ⋮ A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature ⋮ A comparison of Ashtekar’s and Friedrich’s formalisms of spatial infinity ⋮ Fully pseudospectral solution of the conformally invariant wave equation on a Kerr background ⋮ The conformal Einstein field equations and the local extension of future null infinity ⋮ The non-linear perturbation of a black hole by gravitational waves. I. The Bondi–Sachs mass loss ⋮ Structure of globally hyperbolic spacetimes-with-timelike-boundary ⋮ Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime ⋮ Conformal wave equations for the Einstein-tracefree matter system ⋮ Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case ⋮ Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime ⋮ Zero rest-mass fields and the Newman–Penrose constants on flat space ⋮ On the choice of a conformal Gauss gauge near the cylinder representing spatial infinity ⋮ The conformal Einstein field equations with massless Vlasov matter ⋮ Cosmic no-hair in spherically symmetric black hole spacetimes ⋮ Type D conformal initial data ⋮ Killing boundary data for anti-de Sitter-like spacetimes ⋮ Conformal invariance, complex structures and the Teukolsky connection ⋮ Energy scales and black hole pseudospectra: the structural role of the scalar product ⋮ On the null-timelike boundary for Maxwell and spin-2 fields in asymptotically flat spaces ⋮ A new look at the Bondi–Sachs energy–momentum* ⋮ The good-bad-ugly system near spatial infinity on flat spacetime ⋮ Deformations of three-dimensional metrics

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