The initial value problem of scalar-tensor theories of gravity

dc.creatorSalgado, Marcelo
dc.creatorRio, David Martinez-del
dc.date2007-12-13
dc.date.accessioned2026-07-07T11:39:24Z
dc.date.available2026-07-07T11:39:24Z
dc.descriptionThe initial value problem of scalar-tensor theories of gravity (STT) is analyzed in the physical (Jordan) frame using a 3+1 decomposition of spacetime. A first order strongly hyperbolic system is obtained for which the well posedness of the Cauchy problem can be established. We provide two simple applications of the 3+1 system of equations: one for static and spherically symmetric spacetimes which allows the construction of unstable initial data (compact objects) for which a further black hole formation and scalar gravitational wave emission can be analyzed, and another application is for homogeneous and isotropic spacetimes that permits to study the dynamics of the Universe in the framework of STT.
dc.description12 pages; RevTex; Published in the Proceedings of the VII Mexican School on Gravitation and Mathematical Physics
dc.identifierhttps://arxiv.org/abs/0712.2260
dc.identifierhttp://arxiv.org/abs/0712.2260
dc.identifierJ.Phys.Conf.Ser.91:012004,2007
dc.identifierdoi:10.1088/1742-6596/91/1/012004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199906
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe initial value problem of scalar-tensor theories of gravity
dc.typetext

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