Born-Infeld gravitation: Spherically symmetric static solutions

for the collaboration.
Jan, 1997
9 pages
Published in:
  • Phys.Lett.B 432 (1998) 287-292
e-Print:
Report number:
  • SMG-97-1,
  • SMG-97-1

Citations per year

199620032010201720221204
Abstract:
In this paper attention is focused on gravitational sector of the Born-Infeld theory, suggested in quant-ph/9608014. Vacuum equations for gravitational field are derived. The asymptotic for modified Schwarzschild solution is obtained, as a decomposition in parameter L10 32L \approx 10~{-32} cm. It is shown, that singularity at r = 0 is absent, being replaced by a `ball of matter' with finite dimensions, such that density of matter is of order of magnitude of the Planck's density. Another solution of the same symmetry is obtained, corresponding to a `closed' space of finite volume of order L~3.
Note:
  • 11 pages, LaTeX, minor corrections
  • Born-Infeld action
  • Schwarzschild solution
  • gravitation
  • Born-Infeld model
  • vacuum state
  • field equations: solution
  • space-time: singularity
  • symmetry: rotation