Waves in cosmological background with static Schwarzschild radius in the expanding universe
Karen Yagdjian
TL;DR
This paper proves the existence of global small data solutions for semilinear Klein-Gordon equations in a cosmological background featuring a static Schwarzschild radius within an expanding universe.
Contribution
It establishes the existence of solutions in a novel cosmological setting with a static Schwarzschild radius, extending previous work on Klein-Gordon equations.
Findings
Global small data solutions exist in the specified spacetime.
The results apply to a universe with a static Schwarzschild radius.
The paper advances understanding of wave behavior in cosmological models.
Abstract
In this paper, we prove the existence of global in time small data solutions of semilinear Klein-Gordon equations in space-time with a static Schwarzschild radius in the expanding universe.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Cosmology and Gravitation Theories · Black Holes and Theoretical Physics