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23 April 2024
 
  » arxiv » 1412.5620

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Hydrodynamic equilibrium of a static star in the presence of a cosmological constant in 2 + 1 dimensions
Alberto A. Garcia Diaz ;
Date 17 Dec 2014
AbstractUnder the hydrodynamic equilibrium Buchdahl’s conditions on the behavior of the density and the pressure, for regular fluid static circularly symmetric star in (2 + 1) dimensions in the presence of a cosmological constant, is established that there are no bounds from below on the pressure and also on the mass, except for their positiveness. The metric for a constant density distribution is derived and its matching with the external static solution with a negative cosmological constant is accomplished. Some mistakes of previous works on the topic are pointed out.
Source arXiv, 1412.5620
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