Spherically symmetric ADM gravity with variable G and Lambda(c)

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dc.creatorEsposito, Giampiero
dc.creatorRubano, Claudio
dc.creatorScudellaro, Paolo
dc.date2007-09-10
dc.date2007-10-18
dc.date.accessioned2026-07-07T11:19:15Z
dc.date.available2026-07-07T11:19:15Z
dc.descriptionThis paper investigates the Arnowitt--Deser--Misner (hereafter ADM) form of spherically symmetric gravity with variable Newton parameter G and cosmological term Lambda(c). The Newton parameter is here treated as a dynamical variable, rather than being merely an external parameter as in previous work on closely related topics. The resulting Hamilton equations are obtained; interestingly, a static solution exists, that reduces to Schwarzschild geometry in the limit of constant G, describing a Newton parameter ruled by a nonlinear differential equation in the radial variable r. A remarkable limiting case is the one for which the Newton parameter obeys an almost linear growth law at large r. An exact solution for G as a function of r is also obtained in the case of vanishing cosmological constant. Some observational implications of these solutions are obtained and briefly discussed.
dc.description16 pages, 2 figures. The presentation has been improved in all sections
dc.identifierhttps://arxiv.org/abs/0709.1403
dc.identifierhttp://arxiv.org/abs/0709.1403
dc.identifierClass.Quant.Grav.24:6255-6266,2007
dc.identifierdoi:10.1088/0264-9381/24/24/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193619
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpherically symmetric ADM gravity with variable G and Lambda(c)
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