Physics

Control engineering

Finite element method

Meteorology

Isotropy

Decoupling (probability)

Mathematics

Biology

Engineering

Mathematical analysis

Paleontology

Programming language

Strain energy density function

Deformation (meteorology)

Constant (computer programming)

Context (archaeology)

Theoretical physics

Computer science

Quantum mechanics

Vacuum energy

Anisotropy

Energy density

Classical mechanics

Thermodynamics

The European Physical Journal C

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 $$\varLambda $$ . 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.

A general interior anisotropic solution for a BTZ vacuum in the context of the minimal geometric deformation decoupling approach