Complexity factor Parametrization for Traversable Wormholes
arXiv:2304.08877 · doi:10.1063/5.0148762
Abstract
It is known that static traversable wormhole in Einstein gravity is supported by matter that violates null energy conditions (NEC). Essentially such wormhole will be characterised 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, L. Herrera 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 wormhole by default is characterised 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.
arXiv commentAccepted for Publication at J. Math. Phys
References in corpus (23)
- New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
- Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
- Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
- Warp drive basics
- Inflating Lorentzian Wormholes
- Isotropization and change of complexity by gravitational decoupling
- Traversable wormholes in Einstein-Dirac-Maxwell theory
- Casimir Wormholes
- Observing a wormhole
- Traversable Wormholes in General Relativity
- Traversable Wormholes Supported by GUP Corrected Casimir Energy
- Complexity factors for axially symmetric static sources
- Wormholes without exotic matter: quasinormal modes, echoes and shadows
- Complexity Factor for Charged Spherical System
- Casimir Wormholes in Modified Symmetric Teleparallel Gravity
- Complexity Factor For Static Anisotropic Self-Gravitating Source in Gravity
- Gravitational cracking and complexity in the framework of gravitational decoupling
- Complexity Factor For Anisotropic Source in Non-minimal Coupling Metric Gravity
- Einstein-Dirac-Maxwell wormholes: ansatz, construction and properties of symmetric solutions
- Traversable wormholes with like--Casimir complexity supported with arbitrarily small amount of exotic matter
- Search for wormhole candidates in active galactic nuclei: radiation from colliding accreting flows
- Traversable holographic dark energy wormholes constrained by astronomical observations
- Blázquez-Salcedo-Knoll-Radu Wormholes Are Not Solutions to the Einstein-Dirac-Maxwell Equations