A class of non-singular gravi-dilaton backgrounds

Abstract

We present a class of static, spherically symmetric, non-singular solutions of the tree-level string effective action, truncated to first order in ${\alpha }^{\prime }$. In the string frame the solutions approach asymptotically (at $r\to 0$ and $r\to \infty$) two different anti-de Sitter configurations, thus interpolating between two maximally symmetric states of different constant curvature. The radial-dependent dilaton defines a string coupling which is everywhere finite, with a peak value that can be chosen arbitrarily small so as to neglect quantum-loop corrections. This example stresses the possible importance of finite-size ${\alpha }^{\prime }$ corrections, typical of string theory, in avoiding space-time singularities.

9 pages, LATEX, four figure included using EPSFIG. Essay written for the 1997 Awards of the Gravity Research Foundation, and selected for "Honorable Mention". To appear in Mod. Phys. Lett. A

References in corpus (3)

• Towards a non-singular pre-big bang cosmology
• On singularities of spherically symmetric backgrounds in string theory
• Conjectures on Non-Local Effects in String Black Holes

Cited by in corpus (2)

• The Pre-Big Bang Scenario in String Cosmology
• Anisotropic homogeneous string cosmology with two-loop corrections