2019/12/06 by Gabrile Álvarez, Álvarez, Gabrile, Luis Martı́nez Alonso +3
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1912.06479
openalex publication_date 2019/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determine generalised asymptotic solutions for the inflaton field, the\nHubble parameter, and the equation-of-state parameter valid during the\noscillatory phase of reheating for potentials that close to their global minima\nbehave as even monomial potentials. For the quadratic potential we derive a\ngeneralised asymptotic expansion for the inflaton with respect to the scale set\nby inverse powers of the cosmic time. For the quartic potential we derive an\nexplicit, two-term generalised asymptotic solution in terms of Jacobi elliptic\nfunctions, with a scale set by inverse powers of the square root of the cosmic\ntime. Finally, in the general case, we find similar two-term solutions where\nthe leading order term is defined implicitly in terms of the Gauss'\nhypergeometric function. The relation between the leading terms of the\ninstantaneous equation-of-state parameter and different averaged values is\ndiscussed in the general case.\n