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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R. Garattini, G. Mandanici, Phys. Rev. D 83 (2011) 084021, arXiv:1102.3803 [gr-qc]; R. Garattini, JCAP. 017 (2013) 1306, arXiv:1210.7760 [gr-qc]; R. Garattini, B. Majumder, Nucl. Phys. B 884 (2014) 125, arXiv:1311.1747 [gr-qc]; R. Garattini, Phys. Lett. B 685 (2010) 329, arXiv:0902.3927 [gr-qc]; R. Garattini, G. Mandanici, Phys. Rev. D 85 (2012) 023507, arXiv:1109.6563 [gr-qc]; R. Garattini, B. Majumder, Nucl. Phys. B 883 (2014) 598, arXiv:1305.3390 [gr-qc]
R. Garattini, P. Nicolini, Phys. Rev. D 83, 064021 (2011). arXiv:1006.5418 [gr-qc]
J. Magueijo, L. Smolin, Class. Quantum Gravity 21, 1725 (2004). arXiv:gr-qc/0305055
A. Einstein, N. Rosen, Phys. Rev. 48, 73 (1935)
J.A. Wheeler, Phys. Rev. 97, 511–536 (1955)
M.S. Morris, K.S. Thorne, Am. J. Phys. 56, 395 (1988). See also M. Visser, Lorentzian Wormholes: From Einstein to Hawking (American Institute of Physics, New York) (1995) for further details
A. DeBenedictis, R. Garattini, F.S.N. Lobo, Phys. Rev. D 78, 104003 (2008). arXiv:0808.0839 [gr-qc]
R. Garattini, F.S.N. Lobo, Eur. Phys. J. C 74, 2884 (2014). arXiv:1303.5566 [gr-qc]
R. Garattini, Class. Quantum Gravity 22, 1105 (2005). arXiv:gr-qc/0501105
R. Garattini, Class. Quantum Gravity 24, 1189 (2007). arXiv: gr-qc/0701019
R. Garattini, JHEP 052, 1309 (2013). arXiv:1001.3831 [gr-qc]
R. Garattini, F.S.N. Lobo, Phys. Rev. D 85, 024043 (2012). arXiv: 1111.5729 [gr-qc]. R. Garattini, F.S.N. Lobo, Class. Quantum Gravity. 24, 2401 (2007), arXiv:gr-qc/0701020
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-94256-8_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-94255-1
Online ISBN: 978-3-319-94256-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)