Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim

@article{Leon2002MassAC,
  title={Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim},
  author={Jaime Ponce de Leon},
  journal={General Relativity and Gravitation},
  year={2002},
  volume={35},
  pages={1365-1384}
}
  • J. P. Leon
  • Published 28 July 2002
  • Physics
  • General Relativity and Gravitation
In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motion. We show that in the case of a large extra dimension this is no longer so. We propose the Hamilton-Jacobi formalism, instead of the geodesic equation, for the study of test particles moving in a five-dimensional background metric. This formalism has a number of advantages: (i) it provides a clear and invariant… 

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References

SHOWING 1-10 OF 85 REFERENCES

THE EFFECTIVE ENERGY-MOMENTUM TENSOR IN KALUZA–KLEIN GRAVITY WITH LARGE EXTRA DIMENSIONS AND OFF-DIAGONAL METRICS

We consider a version of Kaluza–Klein theory where the cylinder condition is not imposed. The metric is allowed to have explicit dependence on the "extra" coordinate(s). This is the usual scenario in

Induced Matter and Particle Motion in Non-Compact Kaluza-Klein Gravity

We examine generalizations of the five-dimensional canonical metric by including a dependence of the extra coordinate in the four-dimensional metric. We discuss a more appropriate way to interpret

Cosmological models in a Kaluza-Klein theory with variable rest mass

A general class of solutions is obtained for a homogeneous, spatially isotropic five-dimensional (5D) Kaluza-Klein theory with variable rest mass. These solutions generalize in the algebraic and

Dynamics of test particles and pointlike gyroscopes in the brane world and other 5D models

We study the dynamics of test particles and pointlike gyroscopes in 5D manifolds such as those used in the Randall-Sundrum brane world and noncompact Kaluza-Klein models. Our analysis is based on a

Geometry and dynamics of the brane-world

Recent developments in string theory have led to 5-dimensional warped spacetime models in which standard-model fields are confined to a 3-brane (the observed universe), while gravity can propagate in

Null Geodesics in Five-Dimensional Manifolds

We analyze a class of 5D non-compact warped-product spaces characterized by metrics that depend on the extra coordinate via a conformal factor. Our model is closely related to the so-called canonical

Dynamics in Kaluza-Klein Gravity and a Fifth Force

Using a novel coordinate system, we rederive the field equations and equa tions of motion for 5-dimensional relativity in the general case where the metric can depend on all 5 coordinates (i.e.,

Exact solutions and the effective equation of state in Kaluza–Klein theory

A generalization of the standard class of solutions in the Kaluza–Klein (4+1) gravity, wherein the spherically symmetric metric depends not only on the radius but also on the extra coordinate, is

Cosmological dynamics on the brane

In Randall-Sundrum-type brane-world cosmologies, the dynamical equations on the three-brane differ from the general relativity equations by terms that carry the effects of embedding and of the free
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