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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 42, Number 1, Pages 23–36
(Mi tmf3717)
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Particle production near the cosmological singularity
O. Yu. Karmanov, M. B. Menskii
Abstract:
The method of definition of positive-frequency functions with the help of the causal propagator is applied to the calculation of particle production amplitude in the Robertson–Walker space-time with the flat space slice and in the Casner space-time. The propagator is defined as the Green's function with the minimal divergencies on the “Euclidean section” of the space-time. It is shown that the massless conformal invariant particles are produced in the Robertson–Walker space-time with the scale factor $a(t)=t^\lambda$, $\lambda<1$. It is demonstrated that the conformal transformation method gives the same prediction provided that the global properties of the space-time are taken into consideration. Due to catastrophical character of the particle production, Universe with the true singularity and the expansion law $a(t)=t^\lambda$, $\lambda<1$, turns out to be unstable.
Received: 02.10.1978
Citation:
O. Yu. Karmanov, M. B. Menskii, “Particle production near the cosmological singularity”, TMF, 42:1 (1980), 23–36; Theoret. and Math. Phys., 42:1 (1980), 14–22
Linking options:
https://www.mathnet.ru/eng/tmf3717 https://www.mathnet.ru/eng/tmf/v42/i1/p23
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