Minimally Deformed Wormholes Inspired by Noncommutative Geometry. Issue 2 (10th December 2022)

• Record Type: Journal Article
• Authors: Tello‐Ortiz, Francisco; Mishra, B.; Alvarez, A.; Singh, Ksh. Newton
• Is Part Of: Fortschritte der Physik. Volume 71:Issue 2/3(2023)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2022-12-10
• Subjects: exotic matter -- gravitational decoupling -- wormhole solutions; Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.202200108
• Languages: English
• ISSNs: 0015-8208

Abstract

Abstract: In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so–called noncommutative geometry Gaussian and Lorentzian density profiles, the seminal Morris–Thorne space–time is minimally deformed providing new asymptotically wormhole solutions. Constraining the signature of some parameters, the dimensionless constant α is bounded using the flare–out and energy conditions. In both cases, this results in an energy–momentum tensor that violates energy conditions, thus the space–time is threading by an exotic matter distribution. However, it is possible to obtain a positive defined density at the wormhole throat and its neighborhood. To further support the study a thoroughly graphical analysis has been performed. Abstract : In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so–called noncommutative geometry Gaussian and Lorentzian density profiles, the seminal Morris–Thorne space–time is minimally deformed providing new asymptotically wormhole solutions. Constraining the signature of some parameters, the dimensionless constant α is bounded using the flare–out and energy conditions. In both cases, this results in an energy–momentum tensor that violates energy conditions, thus the space–time is threading by an exotic matter distribution. However, it is possible to obtain a positive defined density at the wormhole throat and its neighborhood. To further support the study a thoroughly graphical analysis has been performed.