High-frequency solutions to the Einstein equations

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Cites Work

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Dissipative continuous Euler flows
Models for self-gravitating photon shells and geons
Global geometry of \(T^2\)-symmetric spacetimes with weak regularity
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\)
A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature
Rough solutions of the Einstein-vacuum equations
Sharp local well-posedness results for the nonlinear wave equation
The bounded \(L^2\) curvature conjecture
Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes
The formation of black holes in general relativity.
The Euler equations as a differential inclusion
The global stability of Minkowski space-time in harmonic gauge
The div-curl lemma ``trente ans après: an extension and an application to the \(G\)-convergence of unbounded monotone operators
Convergence of approximate solutions to conservation laws
Caustics of nonlinear waves
Convexity conditions and existence theorems in nonlinear elasticity
Improved local well-posedness for quasilinear wave equations in dimension three
The weak null condition for Einstein's equations.
A proof of Onsager's conjecture
The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system
Stability of Minkowski space-time with a translation space-like Killing field
Einstein equations under polarized \(\mathbb{U}(1)\) symmetry in an elliptic gauge
High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry
On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry
Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations
Causal geometry of Einstein-vacuum spacetimes with finite curvature flux
The evolution problem in general relativity
Curvature \(h\)-principles
Global compensated compactness theorem for general differential operators of first order
Compensated compactness and corrector stress tensor for the Einstein equations in \(\mathbb{T}^2\) symmetry
Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter
Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror
Dirac and Plateau billiards in domains with corners
Instability of spatially homogeneous solutions in the class of \(\mathbb T^2\)-symmetric solutions to Einstein's vacuum equations
Asymptotic properties of linear field equations in anti-De Sitter space
Collapsing in the Einstein flow
Fourier integral operators. I
The linear stability of the Schwarzschild solution to gravitational perturbations
A new div-curl result. applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
A proof of the instability of AdS for the Einstein-massless Vlasov system
Blue-sheet instability of Schwarzschild wormholes
How well is our Universe described by an FLRW model?
Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time
A simple, heuristic derivation of our ‘no backreaction’ results
The characteristic initial value problem for plane symmetric spacetimes with weak regularity
Corrigendum: Backreaction in the future behavior of an expanding vacuum spacetime (2018 Class. Quantum Grav . 35 035010)
Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
A Characterization of the Weakly Continuous Polynomials in the Method of Compensated Compactness
The gravitation effect of colliding planar shells of matter
On Weak Continuity and the Hodge Decomposition
The high-frequency limit in general relativity
H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
Microlocal defect measures
The hoop conjecture and the Gibbons-Penrose construction of trapped surfaces
Oscillations and Energy Densities in the Wave Equation
Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
Weak null singularities in general relativity
Backreaction in the future behavior of an expanding vacuum spacetime
Some high-frequency spherical gravity waves
Large amplitude gravitational waves
Geometric optics with caustic crossing for some nonlinear Schrodinger equations
Oscillatory integrals, lagrange immersions and unfolding of singularities
Equations d'ondes quasilineaires et estimations de Strichartz
Local Propagation of Impulsive GravitationalWaves
The Einstein-Klein-Gordon Coupled System
The Mathematics of Nonlinear Optics
Gravitational Collapse and Space-Time Singularities
Uniform asymptotic expansions at a caustic
Geons
Global existence of high-frequency solutions to a semi-linear wave equation with a null structure
Hyperbolic Conservation Laws in Continuum Physics
Constraint equations for \(3 + 1\) vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case
Einstein vacuum equations with 𝕌(1) symmetry in an elliptic gauge: Local well-posedness and blow-up criterium
High-frequency solutions to the constraint equations
Nonlinear interaction of three impulsive gravitational waves. II: The wave estimates
Geometric optics approximation for the Einstein vacuum equations
An optimal transport formulation of the Einstein equations of general relativity

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