2019/02/28 by E. Contreras, Ernesto Contreras, Pedro Bargueño +1 · 76 citations
Physics and Astronomy · #Barotropic fluid #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #Decoupling (probability) #Gravitation #Gravitational field #Isotropy #Polytropic process #Pulsars and Gravitational Waves Research #Superposition principle #gr-qc
paper · pdf · doi:10.1088/1361-6382/ab47e2
published in Classical and Quantum Gravity 36(21), 215009 (IOP Publishing) · New sections added. Published version
openalex created_date 2019/03/02 · openalex publication_date 2019/09/25 · arxiv created 2019/10/10 · arxiv updated 2019/10/15 · openalex updated_date 2026/08/05
Abstract 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.