Dynamics with Infinitely Many Time Derivatives in Friedmann-Robertson-Walker Background and Rolling Tachyon

TL;DR

This paper explores the dynamics of open string field theory with infinitely many derivatives in a cosmological setting, deriving solutions for rolling tachyons and discussing their potential cosmological implications.

Contribution

It introduces a new time-dependent rolling tachyon solution within a Friedmann-Robertson-Walker background considering infinite derivatives, linking string theory to cosmology.

Findings

Energy conservation determines the existence of rolling tachyon solutions.

A new cosmological solution for rolling tachyons in string theory is presented.

Potential implications for early universe cosmology are discussed.

Abstract

Open string field theory in the level truncation approximation is considered. It is shown that the energy conservation law determines existence of rolling tachyon solution. The coupling of the open string field theory action to a Friedmann-Robertson-Walker metric is considered which leads to a new time dependent rolling tachyon solution is presented and possible cosmological consequences are discussed.