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Detecting torsion from LISA and teleparallel gravity

L. C. Garcia de Andrade
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Abstract

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 $T_{4}$.

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L. C. Garcia de Andrade. 2002-05-22. Detecting torsion from LISA and teleparallel gravity. https://arxiv.org/abs/gr-qc/0107048

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