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González Díaz, Pedro F. and Garay Elizondo, Luis Javier (1999) Nonorientable spacetime tunneling. Physical review D, 59 (6). ISSN 05562821

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Official URL: http://dx.doi.org/10.1103/PhysRevD.59.064026
URL  URL Type 

http://journals.aps.org  Publisher 
http://arxiv.org/pdf/grqc/9901016v1.pdf  Organisation 
Abstract
Misner space is generalized to have the nonorientable topology of a Klein bottle, and it is shown that, in a classical spacetime with multiply connected space slices having such a topology, closed timelike curves are formed. Different regions on the Klein bottle surface can be distinguished which are separated by apparent horizons fixed at particular values of the two angular variables that enter the metric. Around the throat of this tunnel (which we denote a Klein bottlehole), the position of these horizons dictates an ordinary and exotic matter distribution such that, in addition to the known diverging lensing action of wormholes, a converging lensing action is also present at the mouths. Associated with this matter distribution, the accelerating version of this Klein bottlehole shows four distinct chronology horizons, each with its own nonchronal region. A calculation of the quantum vacuum fluctuations performed by using the regularized twopoint Hadamard function shows that each chronology horizon nests a set of polarized hypersurfaces where the renormalized momentumenergy tensor diverges. This quantum instability can be prevented if we take the accelerating Klein bottlehole to be a generalization of a modified Misner space in which the period of the closed spatial direction is time dependent. In this case, the nonchronal regions and closed timelike curves cannot exceed a minimum size of the order the Planck scale. [S05562821(99)019062].
Item Type:  Article 

Additional Information:  © 1999 The American Physical Society. 
Uncontrolled Keywords:  Timelike curves; Weak energy condition; Quantumfield theory; Chronology protection; Traversable wormholes; Cosmic strings; Machines; Horizon 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  29935 
Deposited On:  07 May 2015 12:00 
Last Modified:  10 Dec 2018 15:10 
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