Signature of Einstein-Cartan theory

Abstract

We study the physical effects of torsion as predicted by the Einstein-Cartan theory in the test particle approximation and the non-relativist limit. We first present the corresponding non-relativistic Hamiltonian for a 2-spinor. Then, we solve an idealized reflection and transmission problem for a non-relativistic spin-$\frac{1}{2}$ beam travelling across a spin-polarized target. We identify deviations in the spin polarizations of the reflected and transmitted as observables capable of distinguishing Einstein-Cartan from standard general relativity. If measured, this effect would constitute compelling evidence for the presence of spacetime torsion.

References in corpus (12)

• Measurement of the permanent electric dipole moment of the neutron
• Spin-Dependent Macroscopic Forces from New Particle Exchange
• Constraints on Torsion from Lorentz Violation
• Preferred-Frame and CP-Violation Tests with Polarized Electrons
• New CP-violation and preferred-frame tests with polarized electrons
• Constraining Torsion with Gravity Probe B
• Can Gravity Probe B usefully constrain torsion gravity theories?
• Torsion Phenomenology at the LHC
• Prospects of detecting spacetime torsion
• First Precision Measurement of the Parity Violating Asymmetry in Cold Neutron Capture on ${}^3$He
• Updated limits on extra dimensions through torsion and LHC data
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He

Cited by in corpus (4)

• Effect of Torsion on Neutron Star Structure in Einstein-Cartan Gravity
• Evolution of the early universe in Einstein-Cartan theory
• Semiclassical Gravity Beyond General Relativity: Insights from Torsion
• On the unexpected geometrical origin of the algebra of symmetries