Stringy black-hole gas in ${\alpha }^{\prime }$-corrected dilaton gravity

Abstract

We discuss the properties of the gas of primordial `stringy' black holes possibly formed in the high-curvature phase preceding the bouncing transition to the phase of standard cosmological evolution. We show that the regime dominated by such a string-hole gas can be consistently described by explicit solutions of the string effective action including first-order ${\alpha }^{\prime }$ corrections. We present a phase space analysis of the stability of such solutions comparing the results obtained from different actions and including the possibility of $O(d,d)$-symmetric configurations.

17 pages, 2 figures. Replaced to match published version