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We show that a particle, with positive orbital angular momentum, following anoutgoing null/timelike geodesic, shall never reach the closed timelike horizon(CTH) present in the $(4+1)$-dimensional rotating G\"{o}del black holespace-time. Therefore a large part of this space-time remains inaccessible to alarge class of geodesic observers, depending on the conserved quantitiesassociated with them. We discuss how this fact and the existence of the closedtimelike curves present in the asymptotic region make the quantum fieldtheoretic study of the Hawking radiation, where the asymptotic observer statesare a pre-requisite, unclear. However, the semiclassical approach provides analternative to verify the Smarr formula derived recently for the rotatingG\"{o}del black hole. We present a systematic analysis of particle emissions,specifically for scalars, charged Dirac spinors and vectors, from this blackhole via the semiclassical complex path method.

G\"{o}del black hole, closed timelike horizon, and the study of particle emissions