The problem of classification of conformally flat radiation spaces admitting full separation of variables in the Hamilton-Jacobi equation is considered. The Vaidya problem for conformally flat Stäckel spaces of type (1.1) has been solved; the metrics and the radiation have been found in explicit form.
In this paper we investigate the accelerating and decelerating cosmological models with nonlinear spinor fields and non-minimal interaction of f (R) gravity with a scalar field. We combine two different approaches to the description of dark energy: modified gravity theory and introduction of the additional fields. Solutions for the FRW universe with power-law scale factor are reconstructed for the model under consideration with specific choice for scalar and spinor potentials. It is explained the role of scalar and spinor potentials as well as f(R) function for emergence of accelerating or decelerating cosmology.
The classification problem for conformally-flat space-times that admit a separation of variables in the Hamilton-Jacobi equation of the scalar-tensor Brans-Dicke theory of gravity is examined. The field equations of the scalar-tensor theory of Brans and Dicke for conformally-flat Stackel space-times of type (1.1) are solved. An explicit form of the metric tensor and scalar field is obtained.
Received (Day Month Year) Revised (Day Month Year)The solution to the current extending Universe problem, and the description of all stages of evolution compels scientists to consider various cosmological models. Scalartensor models are rather simple and also allow us to clearly define the separate stages of evolution. Furthermore, other cosmological models are reduced. Our work takes into consideration the non-minimally interacted scalar field and the spinor field. The spinor field has been considered to establish a better understanding of the stages of evolution in our Universe.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.