MULTISTRING SOLUTIONS IN INFLATIONARY SPACETIMES

TL;DR

This paper finds multistring solutions to string equations in inflationary spacetimes with specific expansion factors, extending previous results to a broader class of cosmological models.

Contribution

It introduces new multistring solutions for inflationary spacetimes with power-law expansion, generalizing known solutions in de Sitter space.

Findings

Multistring solutions exist for spacetimes with $R( au) \,\propto\, \eta^k$ for $k<0$.

For $0>k>-1$, only two-string solutions are found.

For $k=-1-1/n$, multistring solutions with infinitely many strings are possible.

Abstract

Multistring solutions of the string equations of motion are found for inflationary spacetimes with expansion factor $R(\eta)\propto \eta^k$ for any $k<0$ and $\eta$ conformal time. If $0>k>-1$ only two-string solutions can be found within our ansatz, whereas for $k=-1-1/n$, with $n=1,2,\ldots$, multistring solutions exist with an infinite number of strings [In the special case $k=-2$ we recover de Sitter spacetime where multistring solutions were first found].