Achieving pole-law inflation:the extreme inflation

TL;DR

This paper examines pole-law inflation, showing that while it can occur under certain conditions, it is generally unstable and unlikely, especially when considering rapid changes in Newton's constant.

Contribution

The paper demonstrates the instability of pole-law inflation and explores conditions under which it might occur, challenging previous assumptions about its feasibility.

Findings

Pole-law inflation requires violation of the weak-energy condition.

Such inflation is highly unstable and unlikely to be realized.

Examples show possible but unstable pole-law inflation scenarios.

Abstract

The pre-big bang's inflationary mechanism, when allowance is made for the rapid change of Newton's constant, is not actually of pole-law form . We give examples where pole-law inflation, which requires violation of the weak-energy condition, is possible but unlikely due to its very unstable character.