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. 
View on Taylor & Francis
tandfonline.com
2 Citations
Background Citations
2
Methods Citations
2

2 Citations

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.

References

SHOWING 1-10 OF 19 REFERENCES

Reference frames and the physical gravito-electromagnetic analogy

Abstract The similarities between linearized gravity and electromagnetism are known since the early days of General Relativity. Using an exact approach based on tidal tensors, we show that such…

Gravitoelectromagnetic analogy based on tidal tensors

We propose a new approach to a physical analogy between general relativity and electromagnetism, based on tidal tensors of both theories. Using this approach we write a covariant form for the…

FORMAL ANALOGIES BETWEEN GRAVITATION AND ELECTRODYNAMICS

We develop a theoretical framework that allows us to compare electromagnetism with gravitation in a fully covariant way. This new scenario does not rely on any kind of approximation nor associate…

A YANG–MILLS ELECTRODYNAMICS THEORY ON THE HOLOMORPHIC TANGENT BUNDLE

Considering a complex Lagrange space ([24]), in this paper the complex electromagnetic tensor fields are defined as the sum between the differential of the complex Liouville 1-form and the symplectic…

New aspects of lagrangian relativity

The geometry of Lagrange spaces is applied to the description of classical general relativity and electrodynamics. First the Einstein equations are given in a new form, where the geometrical objects…

Teleparallel Lagrange geometry and a unified field theory

In this paper, we construct a field theory unifying gravity and electromagnetism in the context of extended absolute parallelism (EAP) geometry. This geometry combines, within its structure, the…

The Geometry of Lagrange Spaces: Theory and Applications

I. Fibre Bundles, General Theory. II. Connections in Fibre Bundles. III. Geometry of the Total Space of a Vector Bundle. IV. Geometrical Theory of Embeddings of Vector Bundles. V. Einstein Equations.…

Deviations of Geodesics in Fibered Finslerian Approach

In §1 the authors introduce basic notions for developing the fibered Finslerian approach, considering the case of a vector bundle endowed with a non-linear connection, a (h, v) metric and a d —…

Classical theory of fields

The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a…

Linear connections for systems of higher order differential equations

For a system of (k+1) order differential equations (or a semispray of order k on the tangent bundle of order k) we determine a nonlinear connection induced by it. This nonlinear connection induces a…