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arXiv · 1612.09536

Finite lifespan of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime

Anahit Galstian·Karen Yagdjian
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Abstract

We examine the solutions of the semilinear wave equation, and, in particular, of the $φ^p$ model of quantum field theory in the curved space-time. More exactly, for $1< p<4$ we prove that solution of the massless self-interacting scalar field equation in the Einstein-de Sitter universe has finite lifespan.

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Anahit Galstian, Karen Yagdjian. 2019-12-05. Finite lifespan of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime. https://doi.org/10.1142/s0129055x2050018x

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