$N+1$ formalism in Einstein-Gauss-Bonnet gravity

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dc.creatorTorii, Takashi
dc.creatorShinkai, Hisa-aki
dc.date2008-10-10
dc.date.accessioned2026-07-07T11:45:53Z
dc.date.available2026-07-07T11:45:53Z
dc.descriptionTowards the investigation of the full dynamics in higher-dimensional and/or stringy gravitational model, we present the basic equations of the Einstein-Gauss-Bonnet gravity theory. We show $(N+1)$-dimensional version of the ADM decomposition including Gauss-Bonnet terms, which shall be the standard approach to treat the space-time as a Cauchy problem. Due to the quasi-linear property of the Gauss-Bonnet gravity, we find that the evolution equations can be in a treatable form in numerics. We also show the conformally-transformed constraint equations for constructing an initial data. We discuss how the constraints can be simplified by tuning the powers of conformal factors. Our equations can be used both for timelike and spacelike foliations.
dc.description15pages, no figure, to appear in PRD
dc.identifierhttps://arxiv.org/abs/0810.1790
dc.identifierhttp://arxiv.org/abs/0810.1790
dc.identifierPhys.Rev.D78:084037,2008
dc.identifierdoi:10.1103/PhysRevD.78.084037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202033
dc.subjectGeneral Relativity and Quantum Cosmology
dc.title$N+1$ formalism in Einstein-Gauss-Bonnet gravity
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