Gravitational waves LIGO data sourced by spin-1 and spin-0 torsion propagating modes in teleparallelism

Abstract

Spin-1 and spin-0 torsion wave modes in linearized teleparallelism are obtained where the totally skew-symmetric complex contortion tensor generates scalar torsion waves and the symmetric contortion in the last two indices generates gravitational waves (GW) as gravitational perturbations in flat spacetime with contortion tensor. A gedanken experiment with this gravitational-torsion wave hitting a ring of spinless particles is proposed which allows us to use the estimate of contortion at the Earth and comparing with results of strain found by Abbott et al., laser interferometer gravitational wave observatory (LIGO) collaboration from merger of a pair of Black holes (Phys Rev Lett 116:06102, 2016) of $$\frac{{\delta }l}{l}=10^{-21}$$ which agrees with the estimate found in this paper. This lends support to the model presented in this paper. Collapsing star GW frequency are used to estimate the relative expansion or contraction of the arms in the experiment from well-known estimates on Earth contortion of $$10^{-24}\,\mathrm{s}^{-1}$$ . The physical implications of the model are investigated in detail by computing the stochastic pseudo-tensor of GW energy and using spatial and tensor components of axial torsion vector, to obtain different strain values, with distinct contortion components. Stochastic pseudo-tensor of GW depends nonlinearly on the contortion.