@article{c4efc44f49ae466c847bcdca0e1de4b3,
title = "Towards numerical relativity in scalar Gauss-Bonnet gravity: 3+1 decomposition beyond the small-coupling limit",
abstract = "Scalar Gauss-Bonnet gravity is the only theory with quadratic curvature corrections to general relativity whose field equations are of second differential order. This theory allows for nonperturbative dynamical corrections and is therefore one of the most compelling case studies for beyond-general relativity effects in the strong-curvature regime. However, having second-order field equations is not a guarantee for a healthy time evolution in generic configurations. As a first step toward evolving black-hole binaries in this theory, we here derive the 3+1 decomposition of the field equations for any (not necessarily small) coupling constant, and we discuss potential challenges of its implementation.",
author = "Helvi Witek and Leonardo Gualtieri and Paolo Pani",
note = "Funding Information: We thank F. Juli{\'e} and T. Sotiriou for useful discussions. H. W. acknowledges financial support provided by the Royal Society University Research Fellowship UF160547 and the Royal Society Research Grant No. RGF\R1\180073. P. P. acknowledges financial support provided under the European Union{\textquoteright}s H2020 ERC, Starting Grant Agreement No. DarkGRA-757480, under the MIUR PRIN and FARE programs (GW-NEXT, CUP: B84I20000100001), and support from the Amaldi Research Center funded by the MIUR program “Dipartimento di Eccellenza” (CUP: B81I18001170001). We thankfully acknowledge the computer resources and the technical support provided by the Leibniz Supercomputing Center via PRACE Grant No. 2018194669 “FunPhysGW: Fundamental Physics in the era of gravitational waves” and by the DiRAC Consortium via STFC DiRAC Grants No. ACTP186, No. ACSP191 and No. ACSP218. The authors would like to acknowledge networking support by the COST Action CA16104. The xtensor package for Mathematica has been used. ",
year = "2020",
month = jun,
day = "15",
doi = "10.1103/PhysRevD.101.124055",
language = "English (US)",
volume = "101",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "12",
}