Inflation driven by causal heat flux

TL;DR

This paper presents a new inflationary solution in an inhomogeneous spacetime where causal heat flux counteracts energy density decrease, leading to a late-time state with a cosmological constant-like equation of state.

Contribution

It introduces a novel inflationary model incorporating causal heat flux in inhomogeneous spacetime, highlighting its role in cosmic evolution.

Findings

Heat flux obeys a causal transport equation.

Heat flux counteracts the decrease of energy density during inflation.

At late times, the fluid approaches an equation of state p=-ρ.

Abstract

We find a simple inflationary solution in an inhomogeneous spacetime with heat flux. The heat flux obeys a causal transport equation, and counteracts the inflationary decrease of energy density. At late times, the heat flux tends to zero and the fluid approaches the equation of state $p=-\rho$.