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Self Sustained Traversable Phantom Wormholes and Gravity’s Rainbow

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2nd Karl Schwarzschild Meeting on Gravitational Physics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 208))

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Abstract

A Self Sustained Traversable Wormhole is a wormhole which is powered by their own gravitational quantum fluctuations. We consider the effects of introducing Gravity’s Rainbow on such a configuration to determine the form of the shape function. This last one can be obtained by imposing the equation of state \(p_{r}=\omega \rho \). We investigate the size of the wormhole as a function of the parameter \(\omega \) in the phantom region. We show that a wormhole which is traversable in principle, but not in practice, can be produced.

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References

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Garattini, R. (2018). Self Sustained Traversable Phantom Wormholes and Gravity’s Rainbow. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 2nd Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-94256-8_19

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