On Shirokov's ``One New Effect of the Einsteinian theory of Gravitation''

Physics

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Scientific paper

In this note we study M.F. Shirokov's “One New Effect of Einstein's theory of Gravitation” in the Kerr field. We confine ourselves to a circular trajectory ( r=const) in the plane θ=π/2. In the limit that terms of the second order and higher in a/r ( a is the angular momentum per unit mass) are negligible we find an additional shift between T θ and T r (or T φ) of amount -(8 a/r)(m/r) 3/2. Thus θ vibrations lie further behind r(or φ) vibrations in this case than in the Schwarzschild field.

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