Gravitational Couplings of Intrinsic Spin

Details Gravitational Couplings of Intrinsic Spin Gravitational Couplings of Intrinsic Spin

2000-03-07

arxiv.org/abs/gr-qc/0003022v1

Class.Quant.Grav. 17 (2000) 2399-2410

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX file, no figures, 16 pages

Scientific paper

10.1088/0264-9381/17/12/312

The gravitational couplings of intrinsic spin are briefly reviewed. A consequence of the Dirac equation in the exterior gravitational field of a rotating mass is considered in detail, namely, the difference in the energy of a spin-1/2 particle polarized vertically up and down near the surface of a rotating body is $\hbar\Omega\sin\theta$. Here $\theta$ is the latitude and $\Omega = 2GJ/(c^2 R^3)$, where $J$ and $R$ are, respectively, the angular momentum and radius of the body. It seems that this relativistic quantum gravitational effect could be measurable in the foreseeable future.

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