# 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} }

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.

## 2 Citations

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

- Mathematics
- 2011

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

- 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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