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  1. No Access

    Article

    Brans-dicke vacuum solutions and the cosmological constant: A qualitative analysis

    We investigate Brans-Dicke vacuum solutions in the presence of a cosmological constant A from the point of view of dynamical system theory. Assuming a Friedmann-Robertson-Walker metric we plot the phase diagra...

    C. Romero, A. Barros in General Relativity and Gravitation (1993)

  2. No Access

    Article

    Bach-Flat Critical Metrics of the Volume Functional on 4-Dimensional Manifolds with Boundary

    The purpose of this article is to investigate Bach-flat critical metrics of the volume functional on a compact manifold \(M\) ...

    A. Barros, R. Diógenes, E. Ribeiro Jr. in The Journal of Geometric Analysis (2015)

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    Article

    On locally conformally flat critical metrics for quadratic functionals

    The aim of this note is to present some results about critical metrics for quadratic functional \({\mathcal {F}}_{t,s}\) ...

    A. Barros, A. Da Silva in Annals of Global Analysis and Geometry (2017)

  4. No Access

    Article

    Free Boundary Hypersurfaces with Non-positive Yamabe Invariant in Mean Convex Manifolds

    We obtain some estimates on the area of the boundary and on the volume of a certain free boundary hypersurface \(\Sigma \) Σ with non-positive Yamabe invariant in a Riemannian n-manifold with bounds for the s...

    A. Barros, C. Cruz in The Journal of Geometric Analysis (2020)