TIDAL TENSORS IN THE DESCRIPTION OF GRAVITY AND ELECTROMAGNETISM

@article{Voicu2011TIDALTI,
  title={TIDAL TENSORS IN THE DESCRIPTION OF GRAVITY AND ELECTROMAGNETISM},
  author={Nicoleta Voicu},
  journal={Journal of Nonlinear Mathematical Physics},
  year={2011},
  volume={19},
  pages={269 - 284}
}
  • N. Voicu
  • Published 6 November 2011
  • Geology
  • Journal of Nonlinear Mathematical Physics
In 2008–2009, L. F. O. Costa and C. A. R. Herdeiro proposed a new gravito-electromagnetic analogy, based on tidal tensors. We show that connections on the tangent bundle of the space-time manifold help in finding an advantageous geometrization of their ideas. Moreover, the combination tidal tensors — connections on tangent bundle can underlie a common mathematical description of the main equations of gravity and electromagnetism. 

CONNECTIONS ON TANGENT BUNDLE, GRAVITO-ELECTROMAGNETIC ANALOGIES AND A UNIFIED DESCRIPTION OF GRAVITY AND ELECTROMAGNETISM

In two previous papers, we proposed a new unied mathematical description of the main equations of gravity and electromagnetism, based on Finslerian connections on the tangent bundle of the space-time

On a new unifled geometric description of gravity and electromagnetism

  • N. Voicu
  • Mathematics, Computer Science
  • 2012
In this work, a new unifled descrip- tion of the main equations of the gravitational and of the electromagnetic fleld, in terms of tidal tensors and connections on the tangent bundle TM of the space-time manifold is introduced.

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