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A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
In this work we implement the Minimal Geometric Deformation decoupling method
to obtain general static interior solutions for a BTZ vacuum from the most
general isotropic solution in dimensions including the cosmological
constant . We obtain that the general solution can be generated only
by the energy density of the original isotropic sector, so that this quantity
plays the role of a generating function. Although as a particular example we
study the static star with constant density, the method here developed can be
easily applied to more complex situations described by other energy density
profiles.Comment: Accepted in EPJC. References correcte
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