Fetching the paper…
Reading the bibliography…
It is shown that a large class of systems of non-linear wave equations, based on the good-bad-ugly model, admit formal solutions with polyhomogeneous expansions near null infinity.
1906
Earlier work this paper cites.
1909
Earlier work this paper cites.
E. Newman and R. Penrose, An approach to gravitational radiation by a method of spin coefficients, Journal of Mathematical Physics 3
1962
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, Gravitational waves in general relativity VII. Waves from axi-symmetric isolated systems, Proc. Roy. Soc. London A 269
1962
Earlier work this paper cites.
R. Penrose, Asymptotic properties of fields and spacetimes, Phys. Rev. Lett. 10
1963
Earlier work this paper cites.
H. Friedrich, On the Regular and the Asymptotic Characteristic Initial Value Problem for Einstein’s Vacuum Field Equations, Proc. R. Soc. Lond. A 375
1981
Earlier work this paper cites.
H. Friedrich, The asymptotic characteristic initial value problem for Einstein’s vacuum field equations as an initial value problem for a first order quasi-linear symmetric hyperbolic system, Proc. Roy. Soc. London A 378
1981
Earlier work this paper cites.
H. Friedrich, Cauchy problems for the conformal vacuum field equations in general relativity, Communications in Mathematical Physics 91
1983
Earlier work this paper cites.
H. Friedrich, On the existence of n-geodesically complete or future complete solutions of Einstein’s field equations with smooth asymptotic structure, Comm. Math. Phys. 107
1986
Earlier work this paper cites.
L. Blanchet, Radiative gravitational fields in general relativity. 2. Asymptotic behaviour at future null infinity, Proc. Roy. Soc. Lond. A 409
1987
Earlier work this paper cites.
L. Andersson, P. Chruściel, and H. Friedrich, On the regularity of solutions to the yamabe equation and the existence of smooth hyperboloidal initial data for einstein’s field equations, Commun. Math. Phys. 149
1992
Earlier work this paper cites.
D. Christodoulou and S. Klainerman, The Global Nonlinear Stability of the Minkowski Space (PMS-41) (Princeton University Press, Princeton, 1993)
1993
Earlier work this paper cites.
H. Friedrich, Gravitational fields near space-like and null infinity, Journal of Geometry and Physics 24
1998
Earlier work this paper cites.
P. Hübner, A scheme to numerically evolve data for the conformal Einstein equation, Class. Quantum Grav. 16
1999
Earlier work this paper cites.
J. A. Valiente Kroon, A Comment on the Outgoing Radiation Condition for the Gravitational Field and the Peeling Theorem, General Relativity and Gravitation 31
1999
Earlier work this paper cites.
P. Hübner, From now to timelike infinity on a finite grid, Class. Quantum Grav. 18
2001
Cited alongside, same era.
P. T. Chruściel and E. Delay, Existence of non-trivial, vacuum, asymptotically simple spacetimes, Class. Quant. Grav. 19
2002
Cited alongside, same era.
H. Lindblad and I. Rodnianski, The weak null condition for einstein’s equations, Comptes Rendus Mathematique 336
2003
Cited alongside, same era.
S. Klainerman and F. Nicol, Peeling properties of asymptotically flat solutions to the einstein vacuum equations, Classical and Quantum Gravity 20
2003
Cited alongside, same era.
J. Winicour, Characteristic evolution and matching, Living Rev. Relativity 8
2005
Cited alongside, same era.
2015
Later among the works it cites.
2015
Later among the works it cites.
T. Mädler and J. Winicour, Bondi-Sachs Formalism, Scholarpedia 11
2016
Later among the works it cites.
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2007
Cited alongside, same era.
J. Corvino, On the existence and stability of the penrose compactification, Ann. Henri Poincaré 8
2007
Cited alongside, same era.
M. Alcubierre, Introduction to 3+1 Numerical Relativity (Oxford University Press, Oxford, 2008)
2008
Cited alongside, same era.
2009
Cited alongside, same era.
2009
Cited alongside, same era.
H. Lindblad and I. Rodnianski, The global stability of the Minkowski space-time in harmonic gauge, Annals of Mathematics 171
2010
Cited alongside, same era.
2011
Cited alongside, same era.
2017
Later among the works it cites.
2017
Later among the works it cites.
J. M. Martín-García, xAct: tensor computer algebra. (2017), http://www.xact.es/
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2019
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.