We study the spontaneous scalarization of a standard conducting charged sphere embedded in Maxwell-scalar models flat spacetime, wherein scalar field $\phi$ is nonminimally coupled to Maxwell electrodynamics. This setup serves as toy model for (vacuum) black holes Einstein-Maxwell-scalar (generalized scalar-tensor) models. In case, unlike hole cases, closed-form solutions exist scalarized confi...

It has recently been demonstrated that Reissner-Nordstr\"om black holes in composed Einstein-Maxwell-scalar field theories can support static scalar configurations with a non-minimal negative coupling to the Maxwell electromagnetic invariant of charged spacetime. We here reveal physically interesting fact {\it positive} spatially-dependent ${\cal F}\equiv F_{\mu\nu}F^{\mu\nu}$ also be supported...

In the present paper we derive strong constrains on scalarization in scalar-Gauss-Bonnet (SGB) gravity using observations of pulsars close binary systems. Since scalarized neutron stars carry a nonzero scalar change, they emit dipole radiation while inspiraling which speeds up orbital decay. The support conjecture that such is either absent or very small for observed pulsars. Using this, determ...

In this article, a novel scalarization methodology, called the modified objective-constraint technique, is proposed for determining efficient solutions given multiobjective programming problem. The suggested scalarized problem extends some existing problems. It shown that how adding slack variables to constraints, can help us find easily checked conditions concerning (weak, proper) Pareto optim...

In this paper, we find new scalarized black holes by coupling a scalar field with the Gauss-Bonnet invariant in teleparallel gravity. The formulation of theory uses torsion instead curvature to describe gravitational interaction, and it turns out that, language, usual term four dimensions decays two distinct boundary terms, invariants. Both can be coupled individually or any combination field, ...

The paper is concerned with the optimistic formulation of a bilevel optimization problem with multiobjective lower-level problem. Considering the scalarization approach for the multiobjective program, we transform our problem into a scalar-objective optimization problem with inequality constraints by means of the well-known optimal value reformulation. Completely detailed first-order necessary ...

Recently, Gregório and Oliveira developed a proximal point scalarization method (applied to multiobjective optimization problems) for an abstract strict scalar representation with a variant of the logarithmic-quadratic function of Auslender et al. as regularization. In this work we propose a variation of this method, taking into account the regularization with logarithm and quasi-distance, wher...

In this paper we propose a scalarization proximal point method to solve multiobjective unconstrained minimization problems with locally Lipschitz and quasiconvex vector functions. We prove, under natural assumptions, that the sequence generated by the method is well defined and converges globally to a Pareto-Clarke critical point. Our method may be seen as an extension, for the non convex case,...