Fetching the paper…
Reading the bibliography…
In this paper we develop a new approach to the gluing problem in General Relativity, that is, the problem of matching two solutions of the Einstein equations along a spacelike or characteristic (null) hypersurface.
C 1 C^{1} isometric imbeddings
J. Nash · 1954
Earlier work this paper cites.
The imbedding problem for Riemannian manifolds
J. Nash · 1956
Earlier work this paper cites.
On the Characteristic Initial Value Problem in Gravitational Theory
R. Sachs · 1962
Earlier work this paper cites.
Gravitational Collapse: The Role of General Relativity
R. Penrose · 1969
Earlier work this paper cites.
Reversible and Irreversible Transformations in Black-Hole Physics
D. Christodoulou · 1970
Earlier work this paper cites.
On the structure of manifolds with positive scalar curvature
R. Schoen, S. Yau · 1979
Earlier work this paper cites.
The classification of simply connected manifolds of positive scalar curvature
M. Gromov, H. Lawson · 1980
Earlier work this paper cites.
The Energy and the Linear Momentum of Space-Times in General Relativity
R. Schoen, S. Yau · 1981
Earlier work this paper cites.
A new proof of the positive energy theorem
E. Witten · 1981
Earlier work this paper cites.
Partial differential relations
M. Gromov · 1986
Earlier work this paper cites.
Reduction of the Characteristic Initial Value Problem to the Cauchy Problem and Its Applications to the Einstein Equations
A. Rendall · 1990
Earlier work this paper cites.
Nonlinear Nature of Gravitation and Gravitational-Wave Experiments
D. Christodoulou · 1991
Earlier work this paper cites.
The global nonlinear stability of the Minkowski space
D. Christodoulou, S. Klainerman · 1993
Cited alongside, same era.
Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations
J. Corvino · 2000
Cited alongside, same era.
Existence of non-trivial, vacuum, asymptotically simple spacetimes
P. Chruściel, E. Delay · 2002
Cited alongside, same era.
Gluing and wormholes for the Einstein constraint equations
J. Isenberg, R. Mazzeo, D. Pollack · 2002
Cited alongside, same era.
On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
P. Chruściel, E. Delay · 2003
Cited alongside, same era.
On ’many-black-hole’ vacuum spacetimes
P. Chruściel, R. Mazzeo · 2003
Cited alongside, same era.
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends
P. Chruściel, D. Pollack · 2008
Later among the works it cites.
The formation of black holes in general relativity
D. Christodoulou · 2009
Later among the works it cites.
The Euler equations as a differential inclusion
C. De Lellis, L. Székelyhidi · 2009
Later among the works it cites.
High-frequency limits and null dust shell solutions in general relativity
J. Luk, I. Rodnianski · 2009
Later among the works it cites.
On the local existence for the characteristic initial value problem in general relativity
J. Luk · 2012
Later among the works it cites.
Gluing construction of initial data with Kerr-de Sitter ends
J. Cortier · 2013
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
On the topology of vacuum spacetimes
J. Isenberg, R. Mazzeo, D. Pollack · 2003
Cited alongside, same era.
Gluing initial data sets for general relativity
P. Chruściel, J. Isenberg, D. Pollack · 2004
Cited alongside, same era.
Initial data engineering
P. Chruściel, J. Isenberg, D. Pollack · 2005
Cited alongside, same era.
A gluing construction for non-vacuum solutions of the Einstein-constraint equations
J. Isenberg, D. Maxwell, D. Pollack · 2005
Cited alongside, same era.
On the Asymptotics for the Vacuum Einstein Constraint Equations
J. Corvino, R. Schoen · 2006
Cited alongside, same era.
The characteristic gluing problem for the Einstein equations and applications
S. Aretakis, S. Czimek, I. Rodnianski
Cited in the paper.
Later among the works it cites.
Local propagation of impulsive gravitational waves
J. Luk, I. Rodnianski · 2015
Later among the works it cites.
Localizing solutions of the Einstein constraint equations
A. Carlotto, R. Schoen · 2016
Later among the works it cites.
An extension procedure for the constraint equations
S. Czimek · 2018
Later among the works it cites.
The linear stability of the Schwarzschild solution to gravitational perturbations
M. Dafermos, G. Holzegel, I. Rodnianski · 2019
Later among the works it cites.
Black hole gluing in de Sitter space
P. Hintz · 2021
Later among the works it cites.