Motion of particles in five-dimensional Kaluza-Klein space-time.

Mathematics – Logic

Scientific paper

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Cosmological Models: Space-Time

Scientific paper

Study of radial and circular geodesics including those of tachyons in two spherically symmetric vacuum five-dimensional space-time is done. One of them is of Schwarzschild type and the other the so-called soliton solution. The authors obtain results which are different from the usual analogous four-dimensional (4D) ones. It is found that all the circular geodesics irrespective of whether they are timelike, null, or spacelike will be stable in the region r > 6 M. It has also been shown that in a homogeneous cosmological model where the isotropic 3 space expands but the extra space contracts with time, the existence of tachyon is possible. This is in contradiction to the analogous 4D result obtained previously.

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