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We study the initial value problem for Lovelock and Horndeski theories of gravity.
1902
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J. L. Ripley and F. Pretorius, Gravitational collapse in Einstein-dilaton-Gauss-Bonnet gravity
1903
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A. D. Kovács, Well-posedness of cubic Horndeski theories
1904
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M. Okounkova, Stability of Rotating Black Holes in Einstein Dilaton Gauss-Bonnet Gravity
1909
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1911
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D. Lovelock, The Einstein Tensor and Its Generalizations
1971
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G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
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T. Kato, Perturbation Theory for Linear Operators
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R. M. Wald, General Relativity
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C. Aragone, Stringy characteristics of effective gravity
1987
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Y. Choquet-Bruhat, The Cauchy problem for stringy gravity
1988
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H.-O. Kreiss and J. Lorenz, Initial-boundary value problems and the Navier-Stokes equations
1989
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1991
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E. E. Flanagan and R. M. Wald, Does back reaction enforce the averaged null energy condition in semiclassical gravity?
1996
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M. Okounkova, Numerical relativity simulation of GW150914 in Einstein dilaton Gauss-Bonnet gravity
2001
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A. D. Kovacs and H. S. Reall, Well-posed formulation of scalar-tensor effective field theory
2011
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2012
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E. Gourgoulhon, 3+1 Formalism in General Relativity
2012
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H. S. Reall, N. Tanahashi and B. Way, Causality and hyperbolicity of Lovelock theories
2014
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F. Abalos, F. Carrasco, E. Goulart and O. Reula, Nonlinear electrodynamics as a symmetric hyperbolic system
2015
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2003
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C. P. Burgess, Quantum gravity in everyday life: General relativity as an effective field theory
2004
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O. A. Reula, Strongly hyperbolic systems in general relativity
2004
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C. Gundlach, J. M. Martin-Garcia, G. Calabrese, and I. Hinder, Constraint damping in the Z4 formulation and harmonic gauge
2005
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S. Weinberg, Effective Field Theory for Inflation
2008
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G. Papallo and H. S. Reall, On the local well-posedness of Lovelock and Horndeski theories
2017
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G. Papallo, On the hyperbolicity of the most general Horndeski theory
2017
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2017
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2019
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