Global in Time Existence of Self-Interacting Scalar Field in De Sitter Spacetimes
Anahit Galstian, Karen Yagdjian
TL;DR
This paper proves the existence of solutions that persist indefinitely over time for a self-interacting scalar field modeled by the semilinear Klein-Gordon equation in de Sitter spacetime.
Contribution
It establishes the global in time existence of solutions for the semilinear Klein-Gordon equation in de Sitter space, advancing understanding of scalar fields in cosmological models.
Findings
Global solutions exist for the semilinear Klein-Gordon equation in de Sitter spacetime.
The proof covers a broad class of self-interacting scalar fields.
The results contribute to mathematical cosmology and quantum field theory in curved spacetime.
Abstract
We prove the existence of a global in time solution of the semilinear Klein-Gordon equation in the de Sitter space-time.
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