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Description
A static geometry with applications in microphysics is studied in this paper. The source of curvature is given by an anisotropic stress tensor and the spacetime is a traversible wormhole. The null and timelike radial geodesics are investigated and found to represent hyperbolae, but with different accelerations. Due to the very high acceleration, close to the maximum one given by Caianiello, a massless particle reach very quickly the velocity $c$. That is related to the Zeldovich vacuum energy density $\epsilon$ which, using the strong gravitational constant $G_{s} = c\hbar/m_{p}^{2}$ instead of Newton’s constant $G_{N}$, appears as $\epsilon_{vac} = m_{p}^{4}c^{5}/\hbar^{3}$, i.e. proportional to $m_{p}^{4}$, where $m_{p}$ is the proton mass. A similar dependence has recently been obtained by LeClair.
Some numerical examples are given, emphasizing the strong curvatures near $r =1/a$. The source of curvatures corresponds to a massless scalar field with negative kinetic energy (ghost field).
| Parallel session | New Physics Searches: Dark Matter and High-Frequency Gravitational Waves |
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