We show that the general solution of Chong, Cvetic, Lu and Pope for nonextremal rotating charged black holes in five-dimensional minimal gauged supergravity, or equivalently in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and with the ChernSimons coefficient ν = 1, admits a simple description in a Kerr-Schild type framework with two scalar functions. Next, assuming this framework as an ansatz, we obtain new analytic solutions for slowly rotating charged black holes in the Einstein-Maxwell-Chern-Simons theory with ν = 1. Using a covariant superpotential derived from Noether identities within the Katz-Bičák-Lynden-Bell approach, we calculate the mass and angular momenta for the general supergravity solution as well as for the slowly rotating solution with two independent rotation parameters. For the latter case, we also calculate the gyromagnetic ratios and obtain simple analytic formulas, involving both the parameters of the black holes and the Chern-Simons coefficient.
A symmetry of Brans-Dicke gravity in (electro)vacuo or in the presence of conformally invariant matter is presented and used as a solution-generating technique starting from a known solution as a seed. This novel technique is applied to generate, as examples, new spatially homogeneous and isotropic cosmologies, a 3-parameter family of spherical time-dependent spacetimes conformal to a Campanelli-Lousto geometry, and a family of cylindrically symmetric geometries. * vfaraoni@ubishops.ca † dkazici@ubishops.ca, dkazici@nku.edu.tr ‡ sbelknapkeet02@ubishops.ca
Higher dimensional, static, cylindrically symmetric vacuum solutions with and without a cosmological constant in the Brans-Dicke theory are presented. We show that for a negative cosmological constant and for specific values of the parameters, a particular subclass of these solutions include higher dimensional topological black hole-type solutions with a flat horizon topology. We briefly extend our discussion to stationary vacuum and Λ−vacuum solutions.
We consider the embedding of 3 + 1 dimensional cosmology in 4 + 1 dimensional Jordan-Brans-Dicke theory. We show that exponentially growing and power law scale factors are implied. Whereas the 4 + 1 dimensional scalar field is approximately constant for each, the effective 3 + 1 dimensional scalar field is constant for exponentially growing scale factor and time dependent for power law scale factor.Keywords Scalar field · Universe model · Branewhere ϕ J (x) is Jordan's scalar field, γ and ω J are constants, and represents matter fields. ϕ γ J R is the nonminimal coupling term which marked the birth of scalar-tensor theory.
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