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We study quasi-spherical Szekeres space-time (which possess no killingvectors) for perfect fluid, matter with tangential stress only and matter withanisotropic pressure respectively. In the first two cases cosmologicalsolutions have been obtained and their asymptotic behaviour have been examinedwhile for anisotropic pressure, gravitational collapse has been studied and therole of the pressure has been discussed.Comment: 16 Latex pages, RevTex, 2 Figure

ROLE OF PRESSURE IN QUASI-SPHERICAL GRAVITATIONAL COLLAPSE