Description
Astatic geometry with applications ni microphysics is studied in this paper. The source of curvature is given by an anisotropic stress tensor. 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 ($a \approx 10^{34}cm/s^{2}$) [1], a massless particle reach very quickly the velocity $c$. That si related to the Zeldovich vacuum energy density [2] $\epsilon$
which, using the strong gravitational constant $G_{s} = c\hbar/m_{p}^{2}$ instead
of Newton's constant $G_(N}$, appears as Slepsilon_{vac} = m_ip?^{4)0^453/hbar^{3}, i.e. proportional to Sm_ip,^{435, where Sm_Ip}S si the proton mass. Asimilar dependence has recently been obtained by LeClair [3).
Some numerical examples are given, emphasizing the strong curvatures near $r =1/a$. The energy-momentum tensor creating the curvatures corresponds to a massless scalar field with negative kinetic energy (antiscalar field) [4,5].