Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-09-28
Class.Quant.Grav.14:523-534,1997
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, LaTeX, two figures are available in PCX or postscript format upon request, to appear in Proceedings of the 3rd Friedm
Scientific paper
10.1088/0264-9381/14/2/025
The renormalized stress-energy tensor $\langle T_{\mu\nu}\rangle$ of the quantized complex massless scalar field which obeys the automorphic condition in Misner space is obtained. It is shown that there exists the special value of the automorphic parameter for which $\langle T_{\mu\nu}\rangle$ is regular on the chronology horizon and, so, can not act as a protector of chronology through a back reaction on a spacetime metric. However, it is shown that, at the same time, the value of field square $\langle\phi^2\rangle$, which characterizes the quantum field fluctuations, is divergent on the chronology horizon. The assumption is suggested that the infinitely growing quantum field fluctuations, which appear if a (self)interaction of the scalar field is taken into account, would prevent the chronology horizon formation.
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