It is known that static traversable wormholes in Einstein gravity are supported by matter that violates null energy conditions (NEC). Essentially, such wormholes will be characterized by a central throat with anisotropic matter lining the throat that violates NEC. This, in turn, provides viable geometry for the wormhole to sustain. In 2018, Herrera [Phys. Rev. D 97, 044010 (2018)] introduced a new classification for spherically symmetric bodies called “complexity factor.” It was proposed that a spherically symmetric non-trivial geometry can be classified as complex or non-complex based on the nature of the inhomogeneity and anisotropy of the stress–energy tensors with only homogeneous and isotropic matter distribution leading to null complexity. Mathematically, there was also another way of obtaining zero complexity geometry. In this context, since static traversable wormholes, by default, are characterized by anisotropic and inhomogeneous matter stress tensors, the question we answer is whether it is possible to obtain zero complexity class of wormholes supported by exotic matter.
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Research Article|
May 01 2023
Complexity factor parameterization for traversable wormholes
Subhra Bhattacharya
;
Subhra Bhattacharya
a)
(Conceptualization, Project administration, Supervision, Validation, Writing – original draft)
Department of Mathematics, Presidency University
, Kolkata 700073, India
a)Author to whom correspondence should be addressed: [email protected]
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Subhasis Nalui
Subhasis Nalui
b)
(Investigation, Methodology)
Department of Mathematics, Presidency University
, Kolkata 700073, India
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a)Author to whom correspondence should be addressed: [email protected]
b)
Electronic mail: [email protected]
J. Math. Phys. 64, 052501 (2023)
Article history
Received:
March 02 2023
Accepted:
April 06 2023
Citation
Subhra Bhattacharya, Subhasis Nalui; Complexity factor parameterization for traversable wormholes. J. Math. Phys. 1 May 2023; 64 (5): 052501. https://doi.org/10.1063/5.0148762
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