Geodesic
Vacuum polarization of a complex automorphic scalar field in two-dimensional spacetime with closed null geodesics and the time-machine problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 134-149 
S. V. Sushkov. Vacuum polarization of a complex automorphic scalar field in two-dimensional spacetime with closed null geodesics and the time-machine problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 134-149. http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a12/
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     title = {Vacuum polarization of a~complex automorphic scalar field in two-dimensional spacetime with closed null geodesics and the time-machine problem},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The quantum authomorphic scalar field in two-dimensional space-time with closed null geodesics (the Cauchy horizon) is considered. The stress energy tensor $\langle T_{\mu\nu}\rangle^{\mathrm{ren}}$ is obtained. It is shown that the value of $\langle T_{\mu\nu}\rangle^{\mathrm{ren}}$ is regular at the Cauchy horizon for specific authomorphic parameter.

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