Islands in Kerr–de Sitter spacetime and their flat limit

We use quantum extremal island method to study the information paradox on certain cosmological setups known as three dimensional Kerr-de Sitter spacetimes. To do so, we couple an auxiliary flat bath system this spacetime in timelike singularity and measure entropy of hawking radiation its asymptotic regions where gravity is weak. show that adding entanglement wedge causes obey Page curve. The boundary i.e. surface located outside horizon region connected directly bath. Taking flat-space limit from location related calculation sapcetime results cosmology (FSC) island, scrambling time also were obtained our previous paper. repeat same for pure de setup which neglects effect backreaction, leads a horizon. calculate confirm idea fast scrambler.