https://doi.org/10.1140/epjc/s10052-021-09179-5
Regular Article - Theoretical Physics
Minimally deformed wormholes
1
Departamento de Física, Facultad de Ciencias Básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile
2
Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman
3
Departamento de Física Aplicada, Universidad de Alicante, Campus de San Vicente del Raspeig, 03690, Alicante, Spain
Received:
23
October
2020
Accepted:
25
April
2021
Published online:
17
May
2021
This work is devoted to the study of wormhole solutions in the framework of gravitational decoupling by means of the minimal geometric deformation scheme. As an example, to analyze how this methodology works in this scenario, we have minimally deformed the well-known Morris–Thorne model. The decoupler function f(r) and the 
-sector are determined considering the following approaches: (i) the most general linear equation of state relating the 
components is imposed and (ii) the generalized pseudo-isothermal dark matter density profile is mimicked by the temporal component of the -sector. It is found that the first approach leads to a non-asymptotically flat space-time with an unbounded mass function. To address this issue we have matched both the wormhole and the Schwarzschild vacuum solutions, via a thin-shell at the junction surface. Using the second approach, it can be seen that, on one hand, the solution for 
does not give place to a bounded mass and it presents a topological defect at large distances; on the other hand, the wormhole manifold is asymptotically flat in the 
case. In order to satisfy the flare-out condition, we have found restrictions on the value of the 
parameter, which is related with the amount of exotic matter distribution. Finally, the averaged weak energy condition has been analyzed by using the volume integral quantifier.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-022-10703-4.
© The Author(s) 2021
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