Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting)
DOI10.4171/OWR/2021/40zbMath1506.00054OpenAlexW4310084823MaRDI QIDQ2693021
No author found.
Publication date: 17 March 2023
Published in: Oberwolfach Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/owr/2021/40
Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to differential geometry (53-06) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to relativity and gravitational theory (83-06) Vlasov equations (35Q83)
Cites Work
- Boundedness of massless scalar waves on Reissner-Nordström interior backgrounds
- Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
- On the backward stability of the Schwarzschild black hole singularity
- Localizing solutions of the Einstein constraint equations
- The global structure of spherically symmetric charged scalar field spacetimes
- Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
- A geometric theory of zero area singularities in general relativity
- The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant
- Einstein spaces as attractors for the Einstein flow
- The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
- Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes
- Black holes without spacelike singularities
- Sharp asymptotics for Einstein-\({\lambda}\)-dust flows
- A new class of asymptotically non-chaotic vacuum singularities
- The intrinsic flat distance between Riemannian manifolds and other integral current spaces
- Existence, regularity, and properties of generalized apparent horizons
- Evaluating quasilocal energy and solving optimal embedding equation at null infinity
- Asymptotics of solutions of the Einstein equations with positive cosmological constant
- The asymptotically self-similar regime for the Einstein vacuum equations
- Newtonian limits of isolated cosmological systems on long time scales
- Quasilocal angular momentum and center of mass in general relativity
- A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature
- Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
- Nonlinear stability of the Milne model with matter
- Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- Isometric embeddings into the Minkowski space and new quasi-local mass
- The formation of shocks in 3-dimensional fluids.
- Future stability of the Einstein-non-linear scalar field system
- Rigidity of marginally trapped surfaces and the topology of black holes
- The formation of black holes in general relativity.
- Strong cosmic censorship in \(T^3\)-Gowdy spacetimes
- Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space
- Higher regularity of the inverse mean curvature flow
- Power law inflation
- Hyperbolicity of the 3+1 system of Einstein equations
- Symmetries of cosmological Cauchy horizons
- On the structure of manifolds with positive scalar curvature
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- Spin and scalar curvature in the presence of a fundamental group. I
- The classification of simply connected manifolds of positive scalar curvature
- Proof of the positive mass theorem. II
- On the proof of the positive mass conjecture in general relativity
- The instability of naked singularities in the gravitational collapse of a scalar field.
- Singularity theorems and their consequences
- Scalar curvature and the Thurston norm
- Elliptic-hyperbolic systems and the Einstein equations
- On existence of static metric extensions in general relativity
- The inverse mean curvature flow and the Riemannian Penrose inequality
- The mass of asymptotically hyperbolic manifolds.
- Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems
- The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology \(\mathbb{S}^3\)
- Cosmological Newtonian limits on large spacetime scales
- The global non-linear stability of the Kerr-de Sitter family of black holes
- Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry
- Stabilizing effect of the power law inflation on isentropic relativistic fluids
- Rigidity of outermost MOTS: the initial data version
- Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
- Linear waves in the interior of extremal black holes. II
- A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
- The \(C^0\)-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry
- High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry
- Ricci flow on asymptotically Euclidean manifolds
- Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations
- Timelike completeness as an obstruction to \(C^{0}\)-extensions
- Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
- Mean curvature flow with surgery of mean convex surfaces in three-manifolds
- Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature
- A mathematical theory of gravitational collapse
- Examples of naked singularity formation in the gravitational collapse of a scalar field
- Kasner-like behaviour for subcritical Einstein-Matter systems
- The mass of asymptotically hyperbolic Riemannian manifolds.
- A conformal approach for the analysis of the non-linear stability of radiation cosmologies
- On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity
- The interior of dynamical extremal black holes in spherical symmetry
- Sequences of three dimensional manifolds with positive scalar curvature
- Initial data rigidity results
- The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting
- Lower semicontinuity of ADM mass under intrinsic flat convergence
- Evaluating quasi-local angular momentum and center-of-mass at null infinity
- A classification theorem for compact Cauchy horizons in vacuum spacetimes
- Diophantine approximation as cosmic censor for Kerr-AdS black holes
- The general relativistic constraint equations
- Existence of static vacuum extensions with prescribed Bartnik boundary data
- BMS charges without supertranslation ambiguity
- Uniform boundedness and continuity at the Cauchy horizon for linear waves on Reissner-Nordström-AdS black holes
- Equality in the spacetime positive mass theorem
- Singularity theorems for \(C^1\)-Lorentzian metrics
- Boundedness and decay for the Teukolsky system of spin \(\pm 2\) on Reissner-Nordström spacetime: the case \(|Q| \ll M\)
- Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes
- Capacity, quasi-local mass, and singular fill-ins
- A proof of the instability of AdS for the Einstein-null dust system with an inner mirror
- Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
- Extension of Killing vector fields beyond compact Cauchy horizons
- Dirac and Plateau billiards in domains with corners
- The Plateau problem for marginally outer trapped surfaces
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region
- Stationary states of the cubic conformal flow on \(\mathbb{S}^3\)
- Localized deformation for initial data sets with the dominant energy condition
- Symmetries of cosmological Cauchy horizons with non-closed orbits
- The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities
- The Large Scale Structure of Space-Time
- Relativistic Equations of Motion in Electromagnetic Theory
- Numerical approaches to spacetime singularities
- The motion of point particles in curved spacetime
- Families of periodic solutions of resonant PDEs
- Quiescent cosmological singularities
- Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
- The Bianchi IX attractor
- Horizon instability of extremal black holes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundedness of massless scalar waves on Kerr interior backgrounds
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region
- Lower semicontinuity of mass under \(C^0\) convergence and Huisken's isoperimetric mass
- Conserved quantities in general relativity: from the quasi-local level to spatial infinity
- Linear waves in the interior of extremal black holes. I
- Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\)
- Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes
- A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges
- Collapsing in the Einstein flow
- A scattering theory for linear waves on the interior of Reissner-Nordström black holes
- Stability of the positive mass theorem for rotationally symmetric Riemannian manifolds
- Asymptotically simple solutions of the vacuum Einstein equations in even dimensions
- On the asymptotics for the vacuum Einstein constraint equations
- On the evolution of hypersurfaces by their inverse null mean curvature
- The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state
- Quantitative mode stability for the wave equation on the Kerr spacetime
- The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass
- Global aspects of the Cauchy problem in general relativity
- The linear stability of the Schwarzschild solution to gravitational perturbations
- The spacetime positive mass theorem in dimensions less than eight
- Linear stability of slowly rotating Kerr black holes
- Future stability of the FLRW spacetime for a large class of perfect fluids
- Mass inflation and the \(C^2\)-inextendibility of spherically symmetric charged scalar field dynamical black holes
- Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
- Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry
- Surface gravity of compact non-degenerate horizons under the dominant energy condition
- Manufacture of Gowdy spacetimes with spikes
- Decay Properties of Klein-Gordon Fields on Kerr-AdS Spacetimes
- The wave equation on the Schwarzschild metric II. Local decay for the spin-2 Regge–Wheeler equation
- Mode stability of the Kerr black hole
- A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
- The Ambient Metric (AM-178)
- Stability of a Schwarzschild Singularity
- Gravitational waves in general relativity. VI. The outgoing radiation condition
- Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
- The formation of black holes and singularities in spherically symmetric gravitational collapse
- The Penrose singularity theorem in regularity C 1,1
- Strong cosmic censorship in polarised Gowdy spacetimes
- Strong cosmic censorship in the case of T 3 -Gowdy vacuum spacetimes
- The red‐shift effect and radiation decay on black hole spacetimes
- Eguchi-Hanson metrics with cosmological constant
- The mass of an asymptotically flat manifold
- The high-frequency limit in general relativity
- On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations
- Spacetime symmetries and linearization stability of the Einstein equations. I
- Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
- The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models
- Exact Solutions of Einstein's Field Equations
- Cauchy horizons in Gowdy spacetimes
- Nonlinear nature of gravitation and gravitational-wave experiments
- Angular Momentum in General Relativity: A New Definition
- The singularities of gravitational collapse and cosmology
- Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity
- On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
- On the Positive Mass, Penrose, an ZAS Inequalities in General Dimension
- On the Local Existence for the Characteristic Initial Value Problem in General Relativity
- Asymptotic behavior in polarized T2-symmetric vacuum space–times
- On the new field theory
- The nature of singularities in mean curvature flow of mean-convex sets
- Asymptotic behaviour in polarized and half-polarized U (1) symmetric vacuum spacetimes
- Fuchsian analysis of S2 $times$ S1 and S3 Gowdy spacetimes
- Analytic description of singularities in Gowdy spacetimes
- Local Propagation of Impulsive GravitationalWaves
- Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
- Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$
- Analytic hypoellipticity of Keldysh operators
- Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
- On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder
- Globally hyperbolic spacetimes can be defined without the ‘causal’ condition
- Boundedness and decay for the Teukolsky equation of spin ±1 on Reissner–Nordström spacetime: the $\boldsymbol{ \newcommand{\e}{{\rm e}} \ell=1}$ spherical mode
- On the initial geometry of a vacuum cosmological spacetime
- Kasner-like regions near crushing singularities *
- On the existence of Killing fields in smooth spacetimes with a compact Cauchy horizon
- Weak second Bianchi identity for static, spherically symmetric spacetimes with timelike singularities
- Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
- Blowup of the local energy of linear waves at the Reissner–Nordström–AdS Cauchy horizon
- Lectures on black holes and linear waves
- The Einstein–Infeld–Hoffmann legacy in mathematical relativity I: The classical motion of charged point particles
- Geometric Relativity
- Hawking’s singularity theorem for C 1,1 -metrics
- The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant
- Instability of Anti-de Sitter Spacetime
- CURVATURE BLOW UP ON A DENSE SUBSET OF THE SINGULARITY IN T3-GOWDY
- Gravitational Collapse and Space-Time Singularities
- Zero rest-mass fields including gravitation: asymptotic behaviour
- Inflationary universe: A possible solution to the horizon and flatness problems
- Ground State of the Conformal Flow on 𝕊3
- Existence of an asymptotic velocity and implications for the asymptotic behavior in the direction of the singularity in T3‐Gowdy
This page was built for publication: Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting)