In this paper, we study the spontaneous scalarization of an extended, self-gravitating system which is static, cylindrically symmetric and possesses electromagnetic fields. We demonstrate that a real massive scalar field condenses on Melvin magnetic universe solution when introducing non-minimal coupling between (a) (b) curvature space-time, respectively. find in both cases, solutions exist fin...

We propose an algorithm to generate inner and outer polyhedral approximations the upper image of a bounded convex vector optimization problem. It is approximation based on solving norm-minimizing scalarizations. Unlike Pascoletti–Serafini scalarization used in literature for similar purposes, it does not involve direction parameter. Therefore, free direction-biasedness. also modification by int...

As it became well known in the past years, Einstein-scalar-Gauss-Bonnet (EsGB) theories evade no-hair theorems and allow for scalarized compact objects including black holes (BH). The coupling function that defines theory is main character process nature of scalarization. With right choice, becomes an extension general relativity (GR) sense any solution to GR field equations remains a EsGB theo...

We study the process of fully nonlinear dynamical scalarization starting from a charged black hole or naked singularity in asymptotically flat spacetime Einstein-Maxwell-dilaton theory. Initially dilaton field is negligible compared to gravitational and Maxwell field. Then experiences an immediate growth, later it oscillates with damping amplitude finally settles down finite value. For hairy de...

We study scalarization of slowly rotating black holes in the Einstein-scalar-Gauss-Bonnet (GB)-Chern-Simons (CS) theory. In slow rotation approximation $a\ll1$ with parameter $a$, GB term is given by a for Schwarzschild hole, whereas CS takes linear $a$. The tachyonic instability represents onset spontaneous scalarization. use (2+1)-dimensional hyperboloidal foliation method to show considering...