Cosmological String Solutions in 4 Dimensions from 5d Black Holes
K. Behrndt, S. Foerste

TL;DR
This paper derives four-dimensional cosmological solutions from five-dimensional black holes within string theory, revealing how higher-dimensional gravity influences four-dimensional cosmological dynamics and dilaton potentials.
Contribution
It introduces a method to obtain 4D cosmological solutions from 5D black holes, highlighting the role of a five-dimensional cosmological constant in shaping 4D string theory models.
Findings
Derived 4D cosmological solutions from 5D black holes
Identified the impact of 5D cosmological constant on 4D dilaton potential
Discussed cosmological scenarios within the obtained solutions
Abstract
We obtain cosmological four dimensional solutions of the low energy effective string theory by reducing a five dimensional black hole, and black hole--de Sitter solution of Einstein gravity down to four dimensions. The appearance of a cosmological constant in the five dimensional Einstein--Hilbert action produces a special dilaton potential in the four dimensional effective string action. Cosmological scenarios implemented by our solutions are discussed.
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