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Volume 19, Issue 2, June 2012, Pages 269 - 284
Tidal Tensors in the Description of Gravity and Electromagnetism
Authors
Nicoleta Voicu
Faculty of Mathematics and Computer Science, “Transilvania” University, 50, Iuliu Maniu Str., 500091, Brasov, Romania,nico.brinzei@unitbv.ro
Received 14 November 2011, Accepted 2 March 2012, Available Online 4 July 2012.
- DOI
- 10.1142/S1402925112500180How to use a DOI?
- Keywords
- Tangent bundle; spray; Ehresmann connection; tidal tensor; Einstein–Maxwell equations
- Abstract
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.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Nicoleta Voicu PY - 2012 DA - 2012/07/04 TI - Tidal Tensors in the Description of Gravity and Electromagnetism JO - Journal of Nonlinear Mathematical Physics SP - 269 EP - 284 VL - 19 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500180 DO - 10.1142/S1402925112500180 ID - Voicu2012 ER -