TY - JOUR

T1 - Extended gravitational decoupling in 2 + 1 dimensional space-times

AU - Contreras, Ernesto

AU - Bargueño, Pedro

N1 - Publisher Copyright:
© 2019 IOP Publishing Ltd.

PY - 2019/10/14

Y1 - 2019/10/14

N2 - In this work we extend the so-called minimal geometric deformation method in 2 + 1 dimensional space-times with cosmological constant in order to deal with the gravitational decoupling of two circularly symmetric sources. We find that, even though the system here studied is lower dimensional and it includes the cosmological constant, the conditions for gravitational decoupling of two circularly symmetric sources coincides with those found in the 3 + 1 dimensional case. We obtain that, under certain circumstances, the extended gravitational decoupling leads to the decoupling of the sources involved in the sense that both the isotropic and the anisotropic sector satisfy Einstein's field equations and the final solution corresponds to a non-linear superposition of two metric components. As particular examples, we implement the method to generate an exterior charged BTZ solution starting from the BTZ vacuum as the isotropic sector and new 2 + 1 black hole solutions imposing a barotropic equation of state for the anisotropic sector. We also show that the imposition of a polytropic equation of state of the decoupler matter allows to construct a regular black hole solution in three-dimensional gravity.

AB - In this work we extend the so-called minimal geometric deformation method in 2 + 1 dimensional space-times with cosmological constant in order to deal with the gravitational decoupling of two circularly symmetric sources. We find that, even though the system here studied is lower dimensional and it includes the cosmological constant, the conditions for gravitational decoupling of two circularly symmetric sources coincides with those found in the 3 + 1 dimensional case. We obtain that, under certain circumstances, the extended gravitational decoupling leads to the decoupling of the sources involved in the sense that both the isotropic and the anisotropic sector satisfy Einstein's field equations and the final solution corresponds to a non-linear superposition of two metric components. As particular examples, we implement the method to generate an exterior charged BTZ solution starting from the BTZ vacuum as the isotropic sector and new 2 + 1 black hole solutions imposing a barotropic equation of state for the anisotropic sector. We also show that the imposition of a polytropic equation of state of the decoupler matter allows to construct a regular black hole solution in three-dimensional gravity.

KW - gravitational decoupling

KW - regular black hole solutions

KW - three-dimensional gravity

UR - http://www.scopus.com/inward/record.url?scp=85075649003&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/ab47e2

DO - 10.1088/1361-6382/ab47e2

M3 - Artículo

AN - SCOPUS:85075649003

SN - 0264-9381

VL - 36

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 21

M1 - 215009

ER -