2018, no. 3

COSMOLOGICAL INFLATION IN SUPERSYMMETRIC CONFORMAL THEORY

Brandyshev P.E., Frolov B.N.

The possibility of describing cosmological inflation in the conformal theory of $$N = 1$$ supergravity is considered. Two cosmological models are investigated. The first model includes one scalar field with a unit conformal weight, which is a complex generalization of the so-called dilaton field used in conformal theories of gravity. Within the framework of this model, a cosmological model with a positive cosmological constant is constructed. The second model describes spontaneous violation of Weyl scale invariance, as a result of which the value of the gravitational constant is established. Within the framework of this model, it is also possible to obtain a cosmological solution describing inflation according to the Hubble law.

Keywords: ñonstruction of cosmological models, exact open cosmological solutions, function of state, the open Universe evolution.

UDC: 530.122.4, 524.85

PACS: 12.60.Jv, 98.80.Cq

DOI: 10.17238/issn2226-8812.2018.3.4-18