Note on a novel vortex dynamics of spacetime as a heuristic model of the   vacuum energy
  Vortex or spin is an important and ubiquitous form of motions existing in almost all scale ranges of the universe and its dynamics is still an active research theme in the classical as well as modern physics. As a novel attempt of such studies, here we show that a class of vortex dynamics generated by newly defined Clebsch parametrised (CP) flows parallel to geodesics exhibits an intriguing property that it is isomorphic to the spacetime structure itself on which it is defined in the sense that its energy-momentum conservation equation automatically assumes exactly the same form as the Einstein field equation. Implications of the existence of such a model is briefly discussed from the view point of a current hot cosmological interest on dark energy together with elusive concept on gravitational energy radiation. 
Hirofumi Sakuma
gr-qc