Conformal invariant gravity coupled to a gauged scalar field and warped spacetimes

Publication date: Available online 6 February 2019Source: Physics of the Dark UniverseAuthor(s): Reinoud Jan SlagterAbstractWe investigate the conformal invariant Lagrangian of the self-gravitating U(1) scalar-gauge field on the time-dependent Bondi-Marder axially symmetric spacetime. By considering the conformal symmetry as exact at the level of the Lagrangian and broken in the vacuum, a consistent model is found with an exact solution of the vacuum Bondi-Marder spacetime, written as gμν=ω2ḡμν, where ω is the conformal factor and ḡμν the ‘un-physical‘ spacetime. Curvature could then be generated from Ricci-flat ḡμν by suitable dilaton fields and additional gauge freedom. If we try to match this vacuum solution on the interior vortex solution of the coupled Einstein-scalar-gauge field, we need, besides the matching conditions, constraint equations in order to obtain a topological regular description of the small-scale behaviour of the model. Probably, one needs the five-dimensional warped counterpart model, where the warp factor determines the large-scale behavior of the model. The warped five-dimensional model can be reformulated by considering the warp factor as a dilaton field conformally coupled to gravity and embedded in a smooth M4⊗R manifold. Dark energy and the cosmological constant could then be emergent in this model. The dilaton field has a dual meaning. At very early times, when ω→0, it describes the small-distance limit, while at later ti...

Source: Physics of the Dark Universe - February 7, 2019 Category: Physics Source Type: research