Fetching the paper…
Reading the bibliography…
We review the Carlotto-Schoen construction of general relativistic initial data sets which are trivial outside of cones, discuss the context, the implications, and some further developments.
G. Darmois
1927
Earlier work this paper cites.
Y. Fourès-Bruhat
1952
Earlier work this paper cites.
R. Penrose
1963
Earlier work this paper cites.
C. Morrey
1966
Earlier work this paper cites.
V. Moncrief
1975
Earlier work this paper cites.
A. Ashtekar
1978
Earlier work this paper cites.
R. Schoen
1979
Earlier work this paper cites.
R. Schoen
1981
Earlier work this paper cites.
1981
Earlier work this paper cites.
V. Denisov
1983
Earlier work this paper cites.
R. Bartnik
1986
Earlier work this paper cites.
P. Chruściel
1986
Earlier work this paper cites.
— , « Boundary conditions at spatial infinity from a Hamiltonian point of view », Topological Properties and Global Structure of Space–Time (P. Bergmann et V. de Sabbata, éds.), Plenum Press, New York, 1986, pp. 49–59, arXiv :1312.0254 [gr-qc]
1986
Earlier work this paper cites.
— , « On the invariant mass conjecture in general relativity », Commun. Math. Phys. 120
1988
Earlier work this paper cites.
— , « Quasi-spherical metrics and prescribed scalar curvature », Jour. Diff. Geom. 37
1993
Earlier work this paper cites.
M. Herzlich
1998
Earlier work this paper cites.
J. Corvino
2000
Cited alongside, same era.
G. Huisken
2001
Cited alongside, same era.
P. Chruściel
2002
Cited alongside, same era.
— , « On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications », Mém. Soc. Math. de France. 94
2003
Cited alongside, same era.
R. Bartnik
2004
Cited alongside, same era.
— , « Manifold structures for sets of solutions of the general relativistic constraint equations », Jour. Geom Phys. (2004), p. 442–472, arXiv :gr-qc/0309001v2
2004
Cited alongside, same era.
P. Bizoń, T. Chmaj
2005
L. Bieri
2010
Later among the works it cites.
— , « Construction of N N -body initial data sets in general relativity », Commun. Math. Phys. 304
2010
Later among the works it cites.
P. Chruściel, G. Galloway
2010
Later among the works it cites.
J. Corvino
2011
Later among the works it cites.
E. Delay
2011
Later among the works it cites.
— , « Smooth compactly supported solutions of some underdetermined elliptic PDE, with gluing applications », Commun. Partial Diff. Eq. 37
2012
Later among the works it cites.
J. Cortier
2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. Chruściel, J. Isenberg
2005
Cited alongside, same era.
P. Chruściel
2006
Cited alongside, same era.
J. Corvino
2006
Cited alongside, same era.
— , « On the existence and stability of the Penrose compactification », Annales H. Poincaré 8
2007
Cited alongside, same era.
P. Chruściel
2008
Cited alongside, same era.
E. Delay
2014
Later among the works it cites.
L. Bieri
2016
Closest in time.
A. Carlotto
2016
Closest in time.
A. Carlotto, O. Chodosh
2016
Closest in time.
A. Carlotto
2016
Closest in time.
— , « Exotic hyperbolic gluings », Jour. Diff. Geom. (2016), in press ; arXiv :1511.07858 [gr-qc]
2016
Closest in time.
— , « On Carlotto-Schoen-type scalar-curvature gluings », (2016), arXiv :1611.00893 [math.DG]
2016
Closest in time.
J. Corvino
2016
Closest in time.