Exactly Solvable SFT Inspired Phantom Model

TL;DR

This paper presents an exact, stable solution to Friedmann equations with a string-inspired phantom scalar field, avoiding the Big Rip singularity through a unique polynomial tachyon potential.

Contribution

It introduces a novel exactly solvable phantom model with a ghost kinetic term and a specific polynomial potential, demonstrating stability and singularity avoidance.

Findings

Explicit exact solution to Friedmann equations with phantom matter

Model stability under small fluctuations and potential deviations

Absence of Big Rip singularity in the constructed solution

Abstract

An exact solution to the Friedmann equations with a string inspired phantom scalar matter field is constructed and the absence of the "Big Rip" singularity is shown explicitly. The notable features of the concerned model are a ghost sign of the kinetic term and a special polynomial form of the effective tachyon potential. The constructed solution is stable with respect to small fluctuations of the initial conditions and special deviations of the form of the potential.