Traversable Wormholes in Distorted Gravity

Abstract

We consider the effects of Distorted Gravity on the traversability of the wormholes. In particular, we consider configurations which are sustained by their own gravitational quantum fluctuations. The Ultra-Violet divergences appearing to one loop are taken under control with the help of a Noncommutative geometry representation and Gravity's Rainbow. In this context, it will be shown that for every framework, the self-sustained equation will produce a Wheeler wormhole, namely a wormhole of Planckian size. This means that, from the point of view of traversability, the wormhole will be traversable in principle, but not in practice. To this purpose, in the context of Gravity's Rainbow we have considered different proposals of rainbow's functions to see if the smallness of the wormhole is dependent on the chosen form of the rainbow's function. Unfortunately, we discover that this is not the case and we suggest that the self-sustained equation can be improved to see if the wormhole radius can be enlarged or not. Some consequences on topology change are discussed.

arXiv comment12 pages, to appear in a special volume of the IJMPD, dedicated to the VII Black Holes Workshop, Aveiro, Portugal, 18-19 December 2014

References in corpus (22)

• f(R) Theories Of Gravity
• The Dynamics of General Relativity
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Noncommutative geometry inspired Schwarzschild black hole
• The Generalized Uncertainty Principle and Black Hole Remnants
• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• Feynman Path Integral on the Noncommutative Plane
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Wave-Particle duality at the Planck scale: Freezing of neutrino oscillations
• Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
• Black hole entropy without brick walls
• Phantom stars and topology change
• Self-sustained traversable wormholes in noncommutative geometry
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Particle propagation and effective space-time in Gravity's Rainbow
• Modified Dispersion Relations and Black Hole Entropy
• A noncommutative approach to the cosmological constant problem
• Naked Singularities are not Singular in Distorted Gravity
• Deformation of the Wheeler-DeWitt Equation
• Electric Charges and Magnetic Monopoles in Gravity's Rainbow
• Self Sustained Traversable Wormholes Induced by Gravity's Rainbow and Noncommutative Geometry
• Wormholes or Gravastars?