# INEVITABILITY OF SPACE–TIME SINGULARITIES IN THE CANONICAL METRIC

@article{Leon2001INEVITABILITYOS, title={INEVITABILITY OF SPACE–TIME SINGULARITIES IN THE CANONICAL METRIC}, author={Jaime Ponce de Leon}, journal={Modern Physics Letters A}, year={2001}, volume={16}, pages={1405-1411} }

We discuss the question of whether the existence of singularities is an intrinsic property of 4D space–time. Our hypothesis is that singularities in 4D are induced by the separation of space–time from the other dimensions. We examine this hypothesis in the context of the so-called canonical or warp metrics in 5D. These metrics are popular because they provide a clean separation between the extra dimension and space–time. We show that the space–time section, in these metrics, inevitably becomes…

## 15 Citations

### Perihelion advances for the orbits of Mercury, Earth, and Pluto from extended theory of general relativity (ETGR)

- Geology, Physics
- 2014

We explore the geodesic movement on an effective four-dimensional hypersurface that is embedded in a five- dimensional Ricci-flat manifold described by a canonical metric, to applying to planetary…

### Induced Matter Theory of gravity from a Weitzenböck 5D vacuum and pre-big bang collapse of the universe

- Physics
- 2012

We extend the Induced Matter Theory of gravity (IMT) to 5D curved spacetimes by using the Weitzenböck representation of connections on a 5D curved spacetime. In this representation the 5D curvature…

### Dark matter and cosmic acceleration from Wesson’s IMT

- Physics
- 2009

In the present work a procedure is build up, that allows obtaining dark matter (DM) and cosmic acceleration in our 4D universe embedded in a 5D manifold. Both, DM and the factor causing cosmic…

### Self-similar cosmologies in 5D: our universe as a topological separation from an empty 5D Minkowski space

- Physics, Mathematics
- 2008

In this paper we find the most general self-similar, homogeneous and isotropic, Ricci-flat cosmologies in 5D. These cosmologies show a number of interesting features: (i) the field equations allow a…

### An Analytic model for the transition from decelerated to accelerated cosmic expansion

- Physics
- 2006

We consider the scenario where our observable universe is devised as a dynamical four-dimensional hypersurface embedded in a five-dimensional bulk space–time, with a large extra dimension, which is…

## References

SHOWING 1-9 OF 9 REFERENCES

### 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…

### Classical theory of fields

- Physics, Geology
- 1952

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…

### 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…

### LETTER TO THE EDITOR: Capture of bulk geodesics by brane-world black holes

- Physics
- 2001

In this letter we study bulk time-like geodesics in the presence of a brane-world black hole, where the brane-world is a two-brane moving in a (3+1)-dimensional asymptotically adS4 spacetime. We show…

### Extra Force in Brane Worlds

- Physics
- 2000

By carefully analyzing the geodesic motion of a test particle in the bulk of brane worlds, we identify an extra force which is recognized in spacetime of one lower dimensions as a non-gravitational…

### Gen. Rel. Grav

- Gen. Rel. Grav
- 1988