Self-sustained traversable wormholes in noncommutative geometry

Abstract

In this work, we find exact wormhole solutions in the context of noncommutative geometry, and further explore their physical properties and characteristics. The energy density of these wormhole geometries is a smeared and particle-like gravitational source, where the mass is diffused throughout a region of linear dimension $\sqrt{\alpha }$ due to the intrinsic uncertainty encoded in the coordinate commutator. Furthermore, we also analyze these wormhole geometries considering that the equation governing quantum fluctuations behaves as a backreaction equation. In particular, the energy density of the graviton one loop contribution to a classical energy in a traversable wormhole background and the finite one loop energy density is considered as a self-consistent source for these wormhole geometries. Interesting solutions are found for an appropriate range of the parameters, validating the perturbative computation introduced in this semi-classical approach.

8 pages, 4 figures. Final version to appear in PLB. References added and one figure

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• Holographic screens in ultraviolet self-complete quantum gravity
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
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• Generalized Absurdly Benign Traversable Wormholes powered by Casimir Energy
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• Phantom Wormhole Solutions in a Generic Cosmological Constant Background
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• Non-exotic traversable wormholes in $f\left(R,T_{ab}{T}^{ab}\right)$ gravity
• Minimal Scales from an Extended Hilbert Space
• Possibility of hyperbolic tunneling
• Minimum length effects in black hole physics
• Stability of Thin-Shell Wormholes from Noncommutative BTZ Black Hole
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• Gravity's Rainbow induces Topology Change
• Noncommutative Geometry Inspired Entropic Inflation
• Inflating wormholes in the braneworld models
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• A Unified Spectral Approach for Quasinormal Modes of Morris-Thorne Wormholes
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• Linear Stability Analysis of Evolving Thin Shell Wormholes
• Hot Casimir Wormholes
• Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes
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• Fractal Properties and Characterizations
• On wormholes in spacetimes of embedding class one
• Exact solutions for slowly rotating wormholes in the presence of an anisotropic fluid
• Traversable Wormholes induced by polytropic $n=1$ energy density
• Noncommutative geometry-inspired wormholes supported by quasi-de Sitter and Chaplygin-like equations of state
• Traversable Wormholes in Distorted Gravity
• Thermodynamics of Black Holes: Semi-Classical Approaches and Beyond
• Vector wormholes as conduits for matter interaction
• Self Sustained Traversable Wormholes and Topology Change Induced by Gravity's Rainbow
• Yukawa-Casimir Wormholes