Let X0 be a complete hyperbolic surface of infinite type that has a
geodesic pants decomposition with cuff lengths bounded above. The length
spectrum Teichm\"uller space Tls(X0) consists of homotopy classes of
hyperbolic metrics on X0 such that the ratios of the corresponding simple
closed geodesic for the hyperbolic metric on X0 and for the other hyperbolic
metric are bounded from the below away from 0 and from the above away from
∞ (cf. \cite{ALPS}). This paper studies earthquakes in the length
spectrum Teichm\"uller space Tls(X0). We find a necessary condition and
several sufficient conditions on earthquake measure μ such that the
corresponding earthquake Eμ describes the hyperbolic metric on X0
which is in the length spectrum Teichm\"uller space. Moreover, we give examples
of earthquake paths t↦Etμ, for t≥0, such that Etμ∈Tls(X0) for 0≤t<t0, Et0μ∈/Tls(X0) and Etμ∈Tls(X0) for t>t0.Comment: metadata correction, the same version as befor