1202.4773 (Maxim Eingorn et al.)

Significance of tension for gravitating masses in Kaluza-Klein models    [PDF]

Maxim Eingorn, Alexander Zhuk

In this report, we consider the six-dimensional Kaluza-Klein models with
spherical compactification of the internal space. Here, we investigate the case
of bare gravitating compact objects with the dustlike equation of state $\hat
p_0=0$ in the external (our) space and an arbitrary equation of state $\hat
p_1=\Omega \hat \varepsilon$ in the internal space. These models satisfy the
classical gravitational tests. However, we show that gravitating masses acquire
effective relativistic pressure in the external space. Such pressure
contradicts the observations of compact astrophysical objects (e.g., the Sun).
The equality $\Omega =-1/2$ (i.e. tension) is the only possibility to preserve
the dustlike equation of state in the external space. Therefore, tension plays
a crucial role for the considered models.

View original: http://arxiv.org/abs/1202.4773