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A Covariant Approach for Particle Creation in Non-flat Background

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Abstract

Krein approach is used to study the particle creation during quasi-de Sitter inflation in different background space-times. In the conventional method for calculating the created particles spectrum, the background space-time is automatically considered flat. Selecting a flat background poses two fundamental problems: First, the method of calculating is not covariant relative to the curved space-time. Second, the number of created particles becomes negative. Krein approach can be considered as a covariant method to calculate two-point functions in curved space-time. So we extend this method for particle creation during early cosmic inflation. As a new proposal, we choose the background vacuum based on the smallest number of created particles in that space-time. The calculations in covariant approach will show that in order to solve the above second mentioned problem, the background space-time must be non-flat and the number of particles in the background must be minimum.

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Acknowledgments

This work has been supported by the Islamic Azad University, Qom Branch, Qom, Iran.

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Authors and Affiliations

  1. Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran

    A. R. Ziyaee & M. Mohsenzadeh

  2. Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran

    E. Yusofi

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  1. A. R. Ziyaee
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  2. M. Mohsenzadeh
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  3. E. Yusofi
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Correspondence to M. Mohsenzadeh.

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Ziyaee, A.R., Mohsenzadeh, M. & Yusofi, E. A Covariant Approach for Particle Creation in Non-flat Background. Int J Theor Phys 59, 3985–3994 (2020). https://doi.org/10.1007/s10773-020-04649-0

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  • DOI: https://doi.org/10.1007/s10773-020-04649-0

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