TY - JOUR
T1 - A general interior anisotropic solution for a BTZ vacuum in the context of the minimal geometric deformation decoupling approach
AU - Contreras, Ernesto
AU - Rincón, Ángel
AU - Bargueño, Pedro
N1 - Funding Information:
Acknowledgements The author A. R. was supported by the CONICYT-PCHA/Doctorado Nacional/2015-21151658. The author P. B. was supported by the Faculty of Science and Vicerrectoría de Investigaciones of Universidad de los Andes, Bogotá, Colombia.
Publisher Copyright:
© 2019, The Author(s).
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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 2 + 1 dimensions including the cosmological constant Λ. 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.
AB - 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 2 + 1 dimensions including the cosmological constant Λ. 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.
UR - http://www.scopus.com/inward/record.url?scp=85062725719&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-019-6749-9
DO - 10.1140/epjc/s10052-019-6749-9
M3 - Article
AN - SCOPUS:85062725719
VL - 79
JO - European Physical Journal C
JF - European Physical Journal C
SN - 1434-6044
IS - 3
M1 - 216
ER -