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

@article{Leon2003ExtraFF, title={Extra force from an extra dimension. Comparison between brane theory, STM and other approaches}, author={Jaime Ponce de Leon}, journal={General Relativity and Gravitation}, year={2003}, volume={36}, pages={1335-1360} }

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, space-time-matter theory (STM) and other non-compact approaches. We develop a “frame-invariant” formalism that allows the computation of the rest mass and its variation as observed in 4D. We find the appropriate expression for the four-acceleration and thus obtain the extra force observed in 4D…

## 18 Citations

### On the extra force in brane world scenario

- Physics
- 2014

In the study of the dynamics in a 5D bulk from brane world scenario, an extra force with abnormal properties was detected (cf. [D. Youm, Extra force in brane worlds, Phys. Rev. D62 (2000) 084002; D.…

### Brane cosmology and motion of test particles in five-dimensional warped product spacetimes

- Physics
- 2008

In the “braneworld scenario” ordinary standard model matter and non-gravitational fields are confined by some trapping mechanism to the 4-dimensional universe constituting the D3-branes which are…

### Embeddings for 4D Einstein equations with a cosmological constant

- Physics, Mathematics
- 2008

There are many ways of embedding a 4D spacetime in a given higher-dimensional manifold while satisfying the field equations. In this work, we extend and generalize a recent paper by Mashhoon and…

### Warped product spaces and geodesic motion in the neighborhood of branes

- Physics
- 2007

We study the classical geodesic motions of nonzero rest mass test particles and photons in five-dimensional warped product spaces. We show that it is possible to obtain a general picture of these…

### Proper time and conformal problem in Kaluza-Klein theory

- Physics, Mathematics
- 2015

In the traditional Kaluza-Klein theory, the cylinder condition and the constancy of the extra-dimensional radius (scalar field) imply that timelike geodesics on the 5-dimensional bundle project to…

### Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces

- Mathematics
- 2008

We study the classical geodesic motions of nonzero rest mass test particles and photons in (3 + 1 + n)- dimensional warped product spaces. An important feature of these spaces is that they allow a…

### Galactic dark matter as a bulk effect on the brane

- Physics
- 2007

The behaviour of the angular velocity of a test particle moving in a stable circular orbit in the vacuum on the brane is considered. In the braneworld scenario, the four-dimensional effective…

### 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…

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