Self sustained traversable wormholes and the equation of state
Jan, 200721 pages
Published in:
- Class.Quant.Grav. 24 (2007) 1189-1210
Contribution to:
e-Print:
- gr-qc/0701019 [gr-qc]
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Abstract: (arXiv)
We compute the graviton one loop contribution to a classical energy in a \textit{traversable} wormhole background. The form of the shape function considered is obtained by the equation of state . We investigate the size of the wormhole as a function of the parameter . The investigation is evaluated by means of a variational approach with Gaussian trial wave functionals. A zeta function regularization is involved to handle with divergences. A renormalization procedure is introduced and the finite one loop energy is considered as a \textit{self-consistent} source for the traversable wormhole.The case of the phantom region is briefly discussed.Note:
- Uses RevTeX 4. 21 pages. Submitted to Classical and Quantum Gravity. Extended version of the talk given at ERE2006 (Palma de Mallorca, September 4-8, 2006) and of the talk given at MG11-GT5, Berlin, 23-29 July, 2006
- 04.90.+e
- 04.62.+v
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