Revisiting Barrow's Graduated Inflationary Universe: A Warm perspective
Subhra Bhattacharya

TL;DR
This paper explores whether Barrow's graduated inflation model with a specific equation of state can be adapted to warm inflation, considering thermal fluctuations and their role in structure formation.
Contribution
It reexamines Barrow's graduated inflation within the warm inflation framework to assess its viability as a model for early universe inflation.
Findings
Thermal fluctuations can influence the inflationary dynamics.
The graduated inflation model may serve as a viable warm inflation candidate.
Potential implications for structure formation and reheating processes.
Abstract
It is presumed that thermal fluctuations present during inflationary epoch can make inflaton scalar field to interact with other fields resulting in the existence of a thermal component during the inflationary period. The presence of this thermal component assists structure formation and reduces reheating dependence as in the contemporary inflationary paradigm. This is known as warm inflation. In 1990 J . D. Barrow \cite{25} considered a scenario of inflation with matter field having a phenomenological equation of state of the type and constant. He called such inflationary scenarios as "graduated inflation". In this work we reconsider the above equation of state in a scenario of warm inflation. Our aim would be to investigate and understand whether such matter can also act as a viable candidate for warm inflation.
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