A cyclic extension of the earthquake flow

Let $\text{cT}$ be Teichm"uller space of a closed surface of genus at least 2. For any point $c\in \text{cT}$, we describe an action of the circle on $\text{cT}\times \text{cT}$, which limits to the earthquake flow when one of the parameters goes to a measured lamination in the Thurston boundary of $\text{cT}$. This circle action shares some of the main properties of the earthquake flow, for instance it satisfies an extension of Thurston’s Earthquake Theorem and it has a complex extension which is analogous and limits to complex earthquakes. Moreover, a related circle action on $\text{cT}\times \text{cT}$ extends to the product of two copies of the universal Teichm"uller space.