Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models

Details Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models

2011-01-20

arxiv.org/abs/1101.3910v3

Phys.Rev.D84:024031,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Revtex4, no figures, minor changes added

Scientific paper

10.1103/PhysRevD.84.024031

In Kaluza-Klein models with an arbitrary number of toroidal internal spaces, we investigate soliton solutions which describe the gravitational field of a massive compact object. We single out the physically interesting solution corresponding to a point-like mass. For the general solution we obtain equations of state in the external and internal spaces. These equations demonstrate that the point-like mass soliton has dust-like equations of state in all spaces. We also obtain the PPN parameters, which give the possibility to obtain the formulas for perihelion shift, deflection of light and time delay of radar echoes. Additionally, the gravitational experiments lead to a strong restriction on the parameter of the model: $\tau = -(2.1\pm 2.3)\times 10^{-5}$. The point-like mass solution contradicts this restriction. The condition $\tau=0$ satisfies the experimental limitation and defines a new class of solutions which are indistinguishable from general relativity. We call such solutions latent solitons. Black strings and black branes belong to this class. Moreover, the condition of stability of the internal spaces singles out black strings/branes from the latent solitons and leads uniquely to the black string/brane equations of state $p_i=-\epsilon/2$, in the internal spaces and to the number of the external dimensions $d_0=3$. The investigation of multidimensional static spherically symmetric perfect fluid with dust-like equation of state in the external space confirms the above results.

Affiliated with

Also associated with

No associations

Rating

Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models 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 Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333641