Fetching the paper…
Reading the bibliography…
We explore the question of obtaining global solutions in Horndeski's theories of gravity.
J. Hadamard, “Sur les problèmes aux dérivées partielles et leur signification physique,” Princeton University Bulletin
1902
Earlier work this paper cites.
Y. Fourès-Bruhat, “Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires,” Acta Math
1952
Earlier work this paper cites.
C. Brans and R. H. Dicke, “Mach’s principle and a relativistic theory of gravitation,” Phys. Rev
1961
Earlier work this paper cites.
C. S. Morawetz, “The dirichlet problem for the tricomi equation,” Communications on Pure and Applied Mathematics
1970
Earlier work this paper cites.
A. E. Fischer and J. E. Marsden, “Linearization stability of the einstein equations,” Bull. Amer. Math. Soc
1973
Earlier work this paper cites.
G. W. Horndeski, “Second-Order Scalar-Tensor Field Equations in a Four-Dimensional Space,” International Journal of Theoretical Physics
1974
Earlier work this paper cites.
B. Ratra and P. J. E. Peebles, “Cosmological Consequences of a Rolling Homogeneous Scalar Field,” Phys. Rev
1988
Earlier work this paper cites.
D. Christodoulou and S. Klainerman, “The Global nonlinear stability of the Minkowski space,” 1993
1993
Earlier work this paper cites.
M. W. Choptuik, “Universality and scaling in gravitational collapse of a massless scalar field,” Phys. Rev. Lett
1993
Earlier work this paper cites.
T. Damour and G. Esposito-Farèse, “Tensor - scalar gravity and binary pulsar experiments,” Phys. Rev
1996
Earlier work this paper cites.
R. R. Caldwell, R. Dave, and P. J. Steinhardt, “Cosmological imprint of an energy component with general equation of state,” Phys. Rev. Lett
1998
Earlier work this paper cites.
V. Faraoni and E. Gunzig, “Einstein frame or Jordan frame?,” Int. J. Theor. Phys
1999
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, “A Dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration,” Phys. Rev. Lett
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, “Essentials of k essence,” Phys. Rev
2001
Earlier work this paper cites.
G. Calabrese, L. Lehner, D. Neilsen, J. Pullin, O. Reula, O. Sarbach, and M. Tiglio, “Novel finite differencing techniques for numerical relativity: Application to black hole excision,” Class. Quant. Grav
2003
Earlier work this paper cites.
J. Khoury and A. Weltman, “Chameleon fields: Awaiting surprises for tests of gravity in space,” Phys. Rev. Lett
2004
Earlier work this paper cites.
J. Khoury and A. Weltman, “Chameleon cosmology,” Phys. Rev
2004
Earlier work this paper cites.
E. E. Flanagan, “The Conformal frame freedom in theories of gravitation,” Class. Quant. Grav
2004
Earlier work this paper cites.
H. Lindblad and I. Rodnianski, “The Global stability of the Minkowski space-time in harmonic gauge,” 2004
2004
Earlier work this paper cites.
G. Calabrese, L. Lehner, O. Reula, O. Sarbach, and M. Tiglio, “Summation by parts and dissipation for domains with excised regions,” Class. Quant. Grav
2004
Earlier work this paper cites.
C. Bonvin, C. Caprini, and R. Durrer, “A no-go theorem for k-essence dark energy,” Phys. Rev. Lett
2006
Cited alongside, same era.
R. P. Woodard, “Avoiding dark energy with 1/r modifications of gravity,” Lect. Notes Phys
2007
Cited alongside, same era.
F. S. Guzman, L. Lehner, and O. Sarbach, “Do unbounded bubbles ultimately become fenced inside a black hole?,” Phys. Rev
2007
Cited alongside, same era.
A. Nicolis, R. Rattazzi, and E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev
2009
Cited alongside, same era.
C. Deffayet, G. Esposito-Farèse, and A. Vikman, “Covariant Galileon,” Phys. Rev
2009
Cited alongside, same era.
C. Deffayet, X. Gao, D. A. Steer, and G. Zahariade, “From k-essence to generalised Galileons,” Phys. Rev
T. H. Otway, “Elliptic–hyperbolic partial differential equations: A mini-course in geometric and quasilinear methods,” 2015
2015
Later among the works it cites.
F.-L. Julié and N. Deruelle, “Two-body problem in Scalar-Tensor theories as a deformation of General Relativity : an Effective-One-Body approach,” Phys. Rev
2017
Later among the works it cites.
T. Baker, E. Bellini, P. G. Ferreira, M. Lagos, J. Noller, and I. Sawicki, “Strong constraints on cosmological gravity from GW170817 and GRB 170817A,” Phys. Rev. Lett
2017
Later among the works it cites.
P. Creminelli and F. Vernizzi, “Dark Energy after GW170817 and GRB170817A,” Phys. Rev. Lett
2017
Later among the works it cites.
J. M. Ezquiaga and M. Zumalacárregui, “Dark Energy After GW170817: Dead Ends and the Road Ahead,” Phys. Rev. Lett
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…
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
2011
Cited alongside, same era.
R. Akhoury, D. Garfinkle, and R. Saotome, “Gravitational collapse of k-essence,” JHEP
2011
Cited alongside, same era.
C. Wang and X. Yu, “Recent works on the Strauss conjecture,” arXiv e-prints
2011
Cited alongside, same era.
O. Sarbach and M. Tiglio, “Continuum and Discrete Initial-Boundary-Value Problems and Einstein’s Field Equations,” Living Rev. Rel
2012
Cited alongside, same era.
R. Kimura and K. Yamamoto, “Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation,” JCAP
2012
Cited alongside, same era.
S. Appleby and E. V. Linder, “The Paths of Gravity in Galileon Cosmology,” JCAP
2012
Cited alongside, same era.
G. Papallo and H. S. Reall, “On the local well-posedness of Lovelock and Horndeski theories,” Phys. Rev
2017
Later among the works it cites.
G. Papallo, “On the hyperbolicity of the most general Horndeski theory,” Phys. Rev
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
2017
Later among the works it cites.
L. Sagunski, J. Zhang, M. C. Johnson, L. Lehner, M. Sakellariadou, S. L. Liebling, C. Palenzuela, and D. Neilsen, “Neutron star mergers as a probe of modifications of general relativity with finite-range scalar forces,” Phys. Rev
2018
Later among the works it cites.
E. W. Hirschmann, L. Lehner, S. L. Liebling, and C. Palenzuela, “Black Hole Dynamics in Einstein-Maxwell-Dilaton Theory,” Phys. Rev
2018
Later among the works it cites.
L. Bernard, “Dynamics of compact binary systems in scalar-tensor theories: Equations of motion to the third post-Newtonian order,” Phys. Rev
2018
Later among the works it cites.
A. Ijjas, F. Pretorius, and P. J. Steinhardt, “Stability and the Gauge Problem in Non-Perturbative Cosmology,” 2018
2018
Later among the works it cites.
P. G. Ferreira, “Cosmological Tests of Gravity,” 2019
2019
Closest in time.
H. Witek, L. Gualtieri, P. Pani, and T. P. Sotiriou, “Black holes and binary mergers in scalar Gauss-Bonnet gravity: scalar field dynamics,” Phys. Rev
2019
Closest in time.
Ã. D. Kovács, “Well-posedness of cubic Horndeski theories,” 2019
2019
Closest in time.
G. Allwright and L. Lehner, “Towards the nonlinear regime in extensions to GR: assessing possible options,” Class. Quant. Grav
2019
Closest in time.
J. L. Ripley and F. Pretorius, “Hyperbolicity in Spherical Gravitational Collapse in a Horndeski Theory,” 2019
2019
Closest in time.
J. Ripley and F. Pretorius, “Gravitational Collapse in Einstein Dilaton Gauss-Bonnet Gravity,” 2019
2019
Closest in time.
C. de Rham, “The gravitational rainbow beyond Einstein gravity,” Int. J. Mod. Phys
2019
Closest in time.