Cosmological Time Crystals From Einstein-Cubic Gravities

Abstract

By including appropriate Riemman cubic invariants, we find that the dynamics of classical time crystals can be straightforwardly realized in Einstein gravity on the FLRW metric. The time reflection symmetry is spontaneously broken in the two vacua with the same scale factor $a$, but opposite $\dot{a}$. The tunneling from one vacuum to the other provides a robust mechanism for bounce universes; it always occurs for systems with positive energy density. For suitable matter energy-momentum tensor we also construct cyclic universes. Cosmological solutions that resemble the classical time crystals can be constructed in massive gravity.

arXiv commentLatex, 11 pages; v2: discussions and references added, published version

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Cited by in corpus (4)

• On the quantum origin of inflation in the geometric inflation model
• Cosmology with Higher-Derivative Gravities
• Cosmological Time Crystals from Gauss-Bonnet Gravity in Four Dimensions
• Cosmology in $R^2$-gravity: Effects of a Higher Derivative Scalar Condensate Background