Torsion detection from totally skew symmetric torsion waves in the context of teleparallel gravity is discussed. A gedanken experiment to detect Cartan's contortion based on a circle of particles not necessarily spinning is proposed. It is shown that by making use of previous value of contortion at the surface of the Earth computed by Nitsch of $10^{ -24} s^{ -1}$ a relative displacement of $10^{ -21}$ is obtained which is of the order of the gravitational wave of $10^{ -3}Hz$. Since LISA has been designed to work in the mHz regime this GW detector could be used for an indirect detection of torsion in $T_{ 4}$.

Categories: gr-qc

Detecting torsion from LISA and teleparallel gravity