Islands in flat-space cosmology

Flat-space cosmologies (FSCs) are solutions to three-dimensional theories of gravity without cosmological constants that have horizons. A detector located near the timelike singularity spacetime can absorb Hawking modes created horizon. Continuation this process will eventually cause entropy radiation be larger than FSC, which leads information paradox. In paper, we resolve paradox for FSC using island proposal. To do this, couple an auxiliary flat bath system in so allowed enter bath, and measured its asymptotic region where is also weak. We show adding regions receive partners follow a Page curve, resolving Moreover, design quantum teleportation protocol by one extract residing islands.