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Superdense star in a spacetime with minimal length

    https://doi.org/10.1142/S0217732319501165Cited by:4 (Source: Crossref)

    In this paper, we generalize core–envelope model of superdense star to a noncommutative spacetime and study the modifications due to the existence of a minimal length, predicted by various approaches to quantum gravity. We first derive Einstein’s field equation in κ-deformed spacetime and use this to set up noncommutative version of core–envelope model describing superdense stars. We derive κ-deformed law of density variation, valid up to first-order approximation in deformation parameter and obtain radial and tangential pressures in κ-deformed spacetime. We also derive κ-deformed strong energy conditions and obtain a bound on the deformation parameter.

    PACS: 11.10.Nx, 04.60.-m, 04.02.+v, 02.40.Gh, 11.10.2m