## 29 Citations

### 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,…

### 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…

### 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.…

### 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…

### 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…

### 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…

### Geodesics, Mass and the Uncertainty Principle in a Warped de Sitter Space-Time

- Physics
- 2011

We present the explicit solution to the geodesic equations in a warped de Sitter space-time proposed by Randall-Sundrum. We find that a test particle moves in the bulk and is not restricted on a…

### IS DARK MATTER AN EXTRA-DIMENSIONAL EFFECT?

- Physics
- 2008

We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the presence of dark matter, is the result of the dynamical…

### Wesson’s Induced Matter Theory with a Weylian Bulk

- Physics
- 2005

The foundations of Wesson’s induced matter theory are analyzed. It is shown that the empty—without matter—5-dimensional bulk must be regarded as a Weylian space rather than as a Riemannian one.…

### Embeddings for general relativity

- Mathematics, Physics
- 2015

We present a systematic approach to embed n-dimensional vacuum general relativity in an (n+1)-dimensional pseudo-Riemannian spacetime whose source is either a (non)zero cosmological constant or a…

## References

SHOWING 1-10 OF 20 REFERENCES

### 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…

### 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…

### An Alternative to compactification

- Physics
- 1999

Conventional wisdom states that Newton's force law implies only four noncompact dimensions. We demonstrate that this is not necessarily true in the presence of a nonfactorizable background geometry.…

### Gravity on branes

- Physics
- 2001

We consider the four dimensional discontinuity generated by two identical pieces of a five dimensional space pasted along their edge (that is a “brane” in a “Z2-symmetric” “bulk”). Using a four plus…

### Phys

- Lett. B456, 34
- 1999

### hep-th/0004144 (2000)

- Phys. Rev. D62, 084002
- 2000

### hep-th/0011128 (2000)

- Class. Quant. Grav. 18, L17
- 2001

### Phys. Rev. D62

- Phys. Rev. D62
- 2000