# 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} }

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…

## 23 Citations

### Brane-World Models Emerging from Collisions of Plane Waves in 5D

- Physics
- 2004

We consider brane-world models embedded in a five-dimensional bulk spacetime with a large extra dimension and a cosmological constant. The cosmology in 5D possesses “wave-like” character in the sense…

### Particle-antiparticle duality from an extra timelike dimension

- Mathematics, PhysicsThe European Physical Journal C
- 2019

It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual…

### FLRW UNIVERSES FROM "WAVE-LIKE" COSMOLOGIES IN 5D

- Physics
- 2003

We consider the evolution of a 4D-universe embedded in a five-dimensional (bulk) world with a large extra dimension and a cosmological constant. The cosmology in 5D possesses "wave-like" character in…

### The 5D Fully-Covariant Theory of Gravitation and Its Astrophysical Applications

- Physics, Geology
- 2014

In this paper, we comprehensively review the five-dimensional (5D) fully-covariant theory of gravitation developed by Zhang two decades ago and its recent applications in astrophysics and cosmology.…

### Accelerated expansion from braneworld models with variable vacuum energy

- Physics
- 2005

We study the acceleration of the universe as a consequence of the time evolution of the vacuum energy in cosmological models based in braneworld theories in 5D. A variable vacuum energy may appear if…

### Aspects of (4 + 4)-Kaluza–Klein type theory

- PhysicsPhysica Scripta
- 2019

We develop a type of Kaluza–Klein formalism in (4 + 4)-dimensions. In the framework of this formalism, we obtain a new kind of Schwarzschild metric solution that, via Kruskal–Szequeres, can be…

### On extra forces from large extra dimensions

- Physics
- 2007

The motion of a classical test particle moving on a four-dimensional (4D) brane embedded in an nD bulk is studied in which the brane is allowed to fluctuate along the extra dimensions. It is shown…

### On the 5D Extra-Force according to Basini–Capozziello–Ponce De Leon Formalism and five important features: Kar–Sinha Gravitational Bending of Light, Chung–Freese Superluminal Behaviour, Maartens–Clarkson Black Strings, experimental measures of Extra Dimensions on board International Space Station (I

- Physics
- 2006

We use the Conformal Metric as described in Kar–Sinha work on Gravitational Bending of Light in a 5D Spacetime to recompute the equations of the 5D Force in Basini–Capozziello–Ponce De Leon Formalism…

### Transition from decelerated to accelerated cosmic expansion in braneworld universes

- Physics
- 2004

Braneworld theory provides a natural setting to treat, at a classical level, the cosmological effects of vacuum energy. Non-static extra dimensions can generally lead to a variable vacuum energy,…

### Astrophysical implications of higher-dimensional gravity

- Physics
- 2004

We review the implications of modern higher-dimensional theories of gravity for astrophysics and cosmology. In particular, we discuss the latest developments of STM theory in connection with dark…

## References

SHOWING 1-10 OF 85 REFERENCES

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

- Physics
- 2002

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

- Physics
- 2001

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

- Physics
- 1988

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

- Physics
- 2002

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

- Physics
- 2001

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

- Physics
- 2001

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

- Physics
- 1998

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

- Physics, Mathematics
- 1993

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

- Physics
- 2000

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…