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Comparing selfinteracting scalar fields and R + R 3 cosmological models
Author(s) -
Schmidt H.J.
Publication year - 1987
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.2113080309
Subject(s) - physics , scalar field , mathematical physics , lagrangian , lambda , scalar (mathematics) , conformal map , equivalence (formal languages) , theoretical physics , quantum mechanics , pure mathematics , geometry , mathematics
We generalize the well‐known analogies between m 2 φ 2 and R + R 2 theories to include the selfinteraction λφ 4 ‐term for the scalar field. It turns out to be the R + R 3 Lagrangian which gives an appropiate model for it. Considering a spatially flat Friedman cosmological model, common and different properties of these models are discussed, e. g., by linearizing around a ground state the masses of the resp. spin 0‐parts concide. Finally, we prove a general conformal equivalence theorem between a Lagrangian L = L ( R ), L′L ″ ≠ 0, and a minimally coupled scalar field in a general potential.