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

@article{Leon2001THEEE, title={THE EFFECTIVE ENERGY-MOMENTUM TENSOR IN KALUZA–KLEIN GRAVITY WITH LARGE EXTRA DIMENSIONS AND OFF-DIAGONAL METRICS}, author={Jaime Ponce de Leon}, journal={International Journal of Modern Physics D}, year={2001}, volume={11}, pages={1355-1380} }

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 brane-world and space-time-matter theories. We extend the usual discussion by considering five-dimensional metrics with off-diagonal terms. We replace the condition of cylindricity by the requirement that physics in four-dimensional space-time should remain invariant under changes of coordinates in…

## 26 Citations

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

- Physics
- 2002

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 EQUIVALENCE PRINCIPLE IN KALUZA–KLEIN GRAVITY

- Physics
- 2009

In four-dimensional general relativity the space–time outside of an isolated spherical star is described by a unique line element, which is the Schwarzschild metric. As a consequence, the…

### Invariant Definition of Rest Mass and Dynamics of Particles in 4D from Bulk Geodesics in Brane-World and Non-Compact Kaluza Klein Theories

- Physics
- 2003

In the Randall–Sundrum brane-world scenario and other non-compact Kaluza–Klein theories, the motion of test particles is higher-dimensional in nature. In other words, all test particles travel on…

### Extra force from an extra dimension. Comparison between brane theory, STM and other approaches

- Physics
- 2003

We investigate the question of how an observer in 4D perceives the five-dimensional geodesic motion. We consider the interpretation of null and non-null bulk geodesics in the context of brane theory,…

### Self-similar cosmologies in 5D: spatially flat anisotropic models

- Mathematics
- 2008

In the context of theories of Kaluza-Klein type, with a large extra dimension, we study self-similar cosmological models in 5D that are homogeneous, anisotropic and spatially flat. The "ladder" to go…

### Exterior spacetime for stellar models in five-dimensional Kaluza?Klein gravity

- Physics
- 2007

It is well known that Birkhoff's theorem is no longer valid in theories with more than four dimensions. Thus, in these theories the effective four-dimensional picture allows the existence of…

### REINVENTING SPACETIME ON A DYNAMICAL HYPERSURFACE

- Mathematics, Physics
- 2006

In braneworld models, Spacetime-Matter and other Kaluza–Klein theories, our spacetime is devised as a four-dimensional hypersurface orthogonal to the extra dimension in a five-dimensional bulk. We…

### The Principle of least action for test particles in a four-dimensional spacetime embedded in 5D

- Mathematics, Physics
- 2008

It is well known that, in the five-dimensional scenario of braneworld and space–time-mass theories, geodesic motion in 5D is observed to be non-geodesic in 4D. Usually, the discussion is purely…

### 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…

## References

SHOWING 1-10 OF 34 REFERENCES

### The physical properties of Kaluza--Klein solitons

- Physics
- 1994

We take the interpretation of Kaluza--Klein theory where curvature in 4+1 dimensions induces effective matter in 3+1 dimensions, and calculate the physical properties of solitons. These are exact…

### 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…

### 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…

### Quantum dynamics of Kaluza-Klein theories

- Physics
- 1983

Some of the quantum properties of Kaluza-Klein theories are studied. The classical features of these theories are reviewed, and the quantization of the gravitational field in an arbitrary number of…

### 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…

### 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…

### Physical equivalence between nonlinear gravity theories and a general-relativistic self-gravitating scalar field.

- PhysicsPhysical review. D, Particles and fields
- 1994

The global net of relationships between the nonlinear gravity theories, scalar-tensor theories, and general relativity is clarified, showing that in a sense these are ``canonically conjugated'' to each other.

### On Observational Predictions from Multidimensional Gravity

- Physics
- 2001

We discuss possible observational manifestations of static, spherically symmetric solutions of a class of multidimensional theories of gravity, which includes the low energy limits of supergravities…