Born--Infeld gravitation: Spherically symmetric static solutions

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 $L\approx 10^{-32}$ 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 $L^3$.

11 pages, LaTeX, minor corrections

References in corpus (4)

• Higher-Derivative Gravity in String Theory
• On the Dirac-Born-Infeld Action for D-branes
• Exact Relation between Einstein and Quadratic Quantum Gravity
• Effective Field Theory of pure Gravity and the Renormalization Group

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