Time-Periodic Solutions of the Einstein's Field Equations
De-Xing Kong, Kefeng Liu

TL;DR
This paper introduces a novel method for deriving exact, time-periodic solutions to Einstein's field equations, revealing new phenomena like time-periodic event horizons with potential implications for cosmology.
Contribution
A new method for constructing exact time-periodic solutions of Einstein's equations and exploration of their physical properties and phenomena.
Findings
Discovery of time-periodic event horizons
Investigation of singularities in these solutions
Potential applications in cosmology and relativity
Abstract
In this paper, we develop a new method to find the exact solutions of the Einstein's field equations by using which we construct time-periodic solutions. The singularities of the time-periodic solutions are investigated and some new physical phenomena, such as the time-periodic event horizon, are found. The applications of these solutions in modern cosmology and general relativity are expected.
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