Relativity and Cosmology

    

Geometry, Symmetries, and Quantization of Scalar Fields in de-Sitter Space-Time

Authors: Arpan Dey, Riddhiman Bhattacharya, Sanchari Sen

The paper commences by examining the geometric properties of de-Sitter space-time,with a specific focus on the isometries generated by Killing vectors. It also investigatesvarious metrics that are applicable to specific regions of space-time, revealing that in thedistant future, the symmetries exhibit a similar local structure to that of $R^3$.Furthermore,the classical Klein-Gordon equation is solved within this space-time, leading to the discoverythat energy is not conserved. The solutions to the Klein-Gordon equation yield intriguing outcomes that have the potential to enable observations from the early inflationary era.Finally, the primary objective of the paper is to comprehensively examine a quantized scalarfield in the de-Sitter background, exploring the solutions for the two-point function andanalyzing their behavior during both early and late time periods.

Comments: 28 Pages. 3 Figures:3; 22References

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Submission history

[v1] 2023-09-28 20:21:37

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