Time-Periodic Solutions of the Einstein's Field Equations II
De-Xing Kong, Kefeng Liu, Ming Shen
TL;DR
This paper constructs new time-periodic solutions to Einstein's vacuum equations, exploring their singularities and physical implications in cosmology and relativity.
Contribution
It introduces several novel time-periodic solutions with varied curvature properties, expanding the understanding of Einstein's equations.
Findings
New solutions with vanishing, finite, or infinite curvature tensors.
Investigation of singularities and physical phenomena.
Potential applications in cosmology and general relativity.
Abstract
In this paper, we construct several kinds of new time-periodic solutions of the vacuum Einstein's field equations whose Riemann curvature tensors vanish, keep finite or take the infinity at some points in these space-times, respectively. The singularities of these new time-periodic solutions are investigated and some new physical phenomena are found. The applications of these solutions in modern cosmology and general relativity can be expected.
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