https://doi.org/10.1140/epjc/s10052-019-6749-9
Regular Article - Theoretical Physics
A general interior anisotropic solution for a BTZ vacuum in the context of the minimal geometric deformation decoupling approach
1
School of Physical Sciences & Nanotechnology, Yachay Tech University, 100119, Urcuquí, Ecuador
2
Instituto de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago, Chile
3
Departamento de Física, Universidad de los Andes, Apartado Aéreo 4976, Bogotá, Distrito Capital, Colombia
* e-mail: econtreras@yachaytech.edu.ec
Received:
8
February
2019
Accepted:
1
March
2019
Published online:
9
March
2019
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.
© The Author(s), 2019
