Circuit Complexity from Cosmological Islands

Recently in various theoretical works, path-breaking progress has been made recovering the well-known Page Curve of an evaporating black hole with Quantum Extremal Islands, proposed to solve long-standing information loss problem related unitarity issue. Motivated by this concept, paper, we study cosmological circuit complexity presence (or absence) Islands negative positive) Cosmological Constant radiation background Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) space-time i.e and absence islands anti-de Sitter de spacetime having SO(2, 3) SO(1, 4) isometries respectively. Without using any explicit details gravity model, behaviour function respect dynamical solution for scale factors above-mentioned two situations FLRW squeezed state formalism. By studying complexity, Out-of-Time Ordered Correlators, entanglement entropy modes state, different parameter spaces, conclude non-universality these measures. Their remarkably features spaces suggest their dependence on parameters model under consideration.