We study static and spherically symmetric charged stars with a nontrivial profile of the scalar field $\phi$ in Einstein-Maxwell-scalar theories. The is coupled to $U(1)$ gauge $A_{\mu}$ form $-\alpha(\phi)F_{\mu \nu}F^{\mu \nu}/4$, where $F_{\mu \nu}=\partial_{\mu}A_{\nu}-\partial_{\nu} A_{\mu}$ strength tensor. Analogous case black holes, we show that this type interaction can induce spontane...

This paper considers supply chain design in green logistics. We formulate the choice of an environmentally conscious chain design as a multi-objective optimization (MOO) problem and approximate the Pareto front using the weighted sum and epsilon constraint scalarization methods as well as with two popular genetic algorithms, NSGA-II and SPEA2. We extend an existing case study of green supply ch...

Spontaneous scalarization is a gravitational phenomenon in which deviations from general relativity arise once certain threshold curvature exceeded, while being entirely absent below that threshold. For black holes, known to be triggered by coupling between scalar and the Gauss-Bonnet invariant. A with Ricci scalar, can trigger neutron stars, instead not contribute onset of hole scalarization, ...

In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C, but not necessarily of class C.