Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints

Details Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints

2011-07-18

arxiv.org/abs/1107.3388v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures, revised version, equations and references added, accepted for publication in Phys. Rev. D. arXiv admin no

Scientific paper

We investigate the classical gravitational tests for the six-dimensional Kaluza-Klein model with spherical (of a radius $a$) compactification of the internal space. The model contains also a bare multidimensional cosmological constant $\Lambda_6$. The matter, which corresponds to this ansatz, can be simulated by a perfect fluid with the vacuum equation of state in the external space and an arbitrary equation of state with the parameter $\omega_1$ in the internal space. For example, $\omega_1=1$ and $\omega_1=2$ correspond to the monopole two-forms and the Casimir effect, respectively. In the particular case $\Lambda_6=0$, the parameter $\omega_1$ is also absent: $\omega_1=0$. In the weak-field approximation, we perturb the background ansatz by a point-like mass. We demonstrate that in the case $\omega_1>0$ the perturbed metric coefficients have the Yukawa type corrections with respect to the usual Newtonian gravitational potential. The inverse square law experiments restrict the parameters of the model: $a/\sqrt{\omega_1}\lesssim 6\times10^{-3}\ {{cm}}$. Therefore, in the Solar system the parameterized post-Newtonian parameter $\gamma$ is equal to 1 with very high accuracy. Thus, our model satisfies the gravitational experiments (the deflection of light and the time delay of radar echoes) at the same level of accuracy as General Relativity. We demonstrate also that our background matter provides the stable compactification of the internal space in the case $\omega_1>0$. However, if $\omega_1=0$, then the parameterized post-Newtonian parameter $\gamma=1/3$, which strongly contradicts the observations.

Affiliated with

Also associated with

No associations

Rating

Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271264