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Generalized inflation from R 3 and R □ R terms
Author(s) -
Gottlöber S.,
Müller V.,
Schmidt H.J.
Publication year - 1991
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113120503
Subject(s) - physics , scalar curvature , curvature , attractor , mathematical physics , inflation (cosmology) , lagrangian , scalar (mathematics) , quadratic equation , gravitation , scalar field , limit (mathematics) , theoretical physics , classical mechanics , mathematical analysis , mathematics , geometry
Generalized inflationary stages as power‐law solutions result from the addition of R 3 and R □ R terms to the quadratic gravitational Lagrangian. Both contributions lead to new attractor solutions in the high‐curvature limit. We emphasize the properties of critical values of the curvature scalar in the R 3 theory. Contrarily to models with two scalar fields, the higher order curvature terms allow double inflation for special initial conditions only.