This paper deals with scalarization and stability aspects for a unified set optimization problem. We provide characterization preference relation the corresponding minimal solution in terms of generalized oriented distance function sup-inf type. establish continuity associated an existence result solution. Painlevé–Kuratowski convergence solutions family scalar problems to

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 linear instability and nonlinear dynamical evolution of Reissner-Nordstr\"om (RN) black hole in Einstein-Maxwell-scalar theory asymptotic flat spacetime. focus on coupling function $f(\phi)=e^{-b\phi^2}$ which allows both scalar-free RN solution scalarized solution. first present system parameters during dynamic scalarization. For parameter regions where spontaneous scalarization o...

In this article, we present an extended data-fitting model which involves different and conflicting criteria, propose algorithm based on a scalarization technique to solve it. Our integrates in unique framework three namely, term, the entropy sparsity of set unknown parameters. This can be analyzed by means multiple criteria decision-making techniques. We then validate proposed modified using t...

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...