Ontology type: schema:ScholarlyArticle Open Access: True
2017-08-12
AUTHORSUddipan Banik, Dipanjan Dey, Kaushik Bhattacharya, Tapobrata Sarkar
ABSTRACTWe study gravitational collapse with anisotropic pressures, whose end stage can mimic space–times that are seeded by galactic dark matter. To this end, we identify a class of space–times (with conical defects) that can arise out of such a collapse process, and admit stable circular orbits at all radial distances. These have a naked singularity at the origin. An example of such a space–time is seen to be the Bertrand space–time discovered by Perlick, that admits closed, stable orbits at all radii. Using relativistic two-fluid models, we show that our galactic space–times might indicate exotic matter, i.e one of the component fluids may have negative pressure for a certain asymptotic fall off of the associated mass density, in the Newtonian limit. We complement this analysis by studying some simple examples of Newtonian two-fluid systems, and compare this with the Newtonian limit of the relativistic systems considered. More... »
PAGES116
http://scigraph.springernature.com/pub.10.1007/s10714-017-2284-x
DOIhttp://dx.doi.org/10.1007/s10714-017-2284-x
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