Fetching the paper…
Reading the bibliography…
We study the local well-posedness of the initial value problem for cubic Horndeski theories.
Y. Choquet-Bruhat, Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires, Acta Math. 88
1952
Earlier work this paper cites.
D. Lovelock, The Einstein Tensor and Its Generalizations, J. Math. Phys. 12
1971
Earlier work this paper cites.
G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space, Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
W. Israel and J. Stewart, Transient relativistic thermodynamics and kinetic theory, Annals of Physics 118
1979
Earlier work this paper cites.
Arthur Besse, Einstein Manifolds, Springer-Verlag, Berlin (1987)
1987
Earlier work this paper cites.
Michael E. Taylor, Pseudodifferential Operators and Nonlinear PDE, (Birkhäuser Basel, 1991)
1991
Earlier work this paper cites.
Masaru Shibata and Takashi Nakamura, Evolution of three-dimensional gravitational waves: Harmonic slicing case, Phys. Rev. D 52
1995
Earlier work this paper cites.
Carles Bona, Joan Massó, Edward Seidel, and Joan Stela, New Formalism for Numerical Relativity, Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis and E. Winstanley, Dilatonic Black Holes in Higher Curvature String Gravity, Phys. Rev. D 54
1995
Earlier work this paper cites.
Eanna E. Flanagan and Robert M. Wald, Does back reaction enforce the averaged null energy condition in semiclassical gravity?, Phys. Rev. D 54
1996
Earlier work this paper cites.
Thomas W. Baumgarte and Stuart L. Shapiro, Numerical integration of Einstein’s field equations, Phys. Rev. D 59, 024007 (1998)
1998
Earlier work this paper cites.
Olivier Sarbach and Manuel Tiglio, Exploiting gauge and constraint freedom in hyperbolic formulations of Einstein’s equations, Phys. Rev. D 66
2002
Earlier work this paper cites.
Lars Andersson and Vincent Moncrief, Elliptic-hyperbolic systems and the Einstein equations, Ann. Henri Poincaré (2003) 4: 1
2003
Earlier work this paper cites.
Lars Andersson and Vincent Moncrief, Future complete vacuum spacetimes, in ’50 years of the Cauchy problem in General Relativity’, eds. Chrusciel and Friedrich, Birkhauser, Basel, 2004, pp. 299-330 [arXiv:0303045 [gr-qc]]
2004
Earlier work this paper cites.
Gabriel Nagy, Omar E. Ortiz, and Oscar A. Reula, Phys. Rev. D 70, 044012 (2004)
2004
Cited alongside, same era.
Horst Beyer and Olivier Sarbach, Well-posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein’s field equations, Phys. Rev. D 70
2004
Cited alongside, same era.
Carsten Gundlach and José M. Martín-García, Symmetric hyperbolicity and consistent boundary conditions for second-order Einstein equations Phys. Rev. D 70
2004
Cited alongside, same era.
Carsten Gundlach, Gioel Calabrese, Ian Hinder and José M Martín-García, Constraint damping in the Z4 formulation and harmonic gauge, Class. Quantum Grav. 22
2005
Cited alongside, same era.
Yvonne Choquet-Bruhat, General Relativity and the Einstein Equations, Oxford University Press (2008)
2008
Cited alongside, same era.
Daniela Alic, Carles Bona-Casas, Carles Bona, Luciano Rezzolla, and Carlos Palenzuela, Conformal and covariant formulation of the Z4 system with constraint-violation damping, Phys. Rev. D 85
2012
Later among the works it cites.
Andreas Weyhausen, Sebastiano Bernuzzi, and David Hilditch, Constraint damping for the Z4c formulation of general relativity, Phys. Rev. D 85
2012
Later among the works it cites.
Kurt Hinterbichler, Theoretical aspects of massive gravity, Rev. Mod. Phys. 84
2012
Later among the works it cites.
2014
Later among the works it cites.
Harvey S Reall, Norihiro Tanahashi and Benson Way, Causality and hyperbolicity of Lovelock theories, Class. Quantum Grav. 31
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A. De Felice and S. Tsujikawa, Cosmology of a Covariant Galileon Field, Phys. Rev. Lett. 105
2010
Cited alongside, same era.
C. Deffayet, O. Pujolas, I. Sawicki and A. Vikman, Imperfect Dark Energy from Kinetic Gravity Braiding, JCAP 10
2010
Cited alongside, same era.
Claudia de Rham and Gregory Gabadadze, Generalization of the Fierz-Pauli Action, Phys. Rev. D 82
2010
Cited alongside, same era.
A. De Felice and S. Tsujikawa, Generalized Galileon cosmology, Phys. Rev. D 84
2011
Cited alongside, same era.
T. Kobayashi, M. Yamaguchi and J. Yokoyama, Generalized G-Inflation: Inflation with the Most General Second-Order Field Equations, Prog. Theor. Phys. 126
2011
Cited alongside, same era.
Damien A. Easson, Ignacy Sawicki and Alexander Vikman, G-Bounce, JCAP 11
2011
Cited alongside, same era.
O. Sarbach and M. Tiglio, Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations, Living Rev. Relativ. 15 (2012) 191, [1203.6443]
2012
Cited alongside, same era.
2014
Later among the works it cites.
Michael Koehn, Jean-Luc Lehners, and Burt A. Ovrut, Cosmological super-bounce, Phys. Rev. D 90
2014
Later among the works it cites.
Anna Ijjas and Paul J. Steinhardt, Classically Stable Nonsingular Cosmological Bounces, Phys. Rev. Lett. 117
2016
Later among the works it cites.
Giuseppe Papallo and Harvey S. Reall, On the local well-posedness of Lovelock and Horndeski theories, Phys. Rev. D 96
2017
Later among the works it cites.
Giuseppe Papallo, On the hyperbolicity of the most general Horndeski theory, Phys. Rev. D 96
2017
Later among the works it cites.
J. Cayuso, N. Ortiz, and L. Lehner, Fixing extensions to general relativity in the nonlinear regime, Phys. Rev. D 96
2017
Later among the works it cites.
Igor Rodnianski and Jared Speck, A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation, Annals of Mathematics (2), 187
2018
Later among the works it cites.
Adam R. Solomon and Mark Trodden, Higher-derivative operators and effective field theory for general scalar-tensor theories, JCAP 02
2018
Later among the works it cites.
Anna Ijjas, Frans Pretorius and Paul J. Steinhardt, Stability and the Gauge Problem in Non-Perturbative Cosmology, JCAP 01
2019
Closest in time.