Abstract
We compare the effects of Noncommutative Geometry and Gravity's Rainbow on traversable wormholes which are sustained by their own gravitational quantum fluctuations. Fixing the geometry on a well tested model, we find that the final result shows that the wormhole is of the Planckian size. This means that the traversability of the wormhole is in principle, but not in practice.
Highlights
In 1988 on the American Journal of Physics, M
We compare the effects of Noncommutative Geometry and Gravity’s Rainbow on traversable wormholes which are sustained by their own gravitational quantum fluctuations
Fixing the geometry on a well tested model, we find that the final result shows that the wormhole is of the Planckian size
Summary
In 1988 on the American Journal of Physics, M. Since a complete theory of quantum gravity has yet to come, it is important to approach this problem semiclassically On this ground, the Casimir energy on a fixed background. Instead of studying the Casimir energy contribution of some matter or gauge fields to the traversability of the wormholes, we propose to use the energy of the graviton on a background of a traversable wormhole In this way, one can think that the quantum fluctuations of the traversable wormholes can be used as a fuel to sustain traversability. We review some aspects of self sustained traversable wormholes fixing our attention on Noncommutative geometry and Gravity’s Rainbow
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