F-essence is a generalization of the usual Dirac model with the nonstandard
kinetic term. In this paper, we introduce a new model of spinor cosmology
containing both Ricci scalar and the non minimally coupled spinor fields in its
action. We have investigated the cosmology with both isotropy and anisotropy,
where the equations of motion of FRW and Bianchi type-I spacetimes have been
derived and solved numerically. Finally the quantization of these models
through Wheeler-De Witt (WD) wave function has been discussed.Comment: 8 pages, accepted for publication in 'Astrophysics and Space Science
The present work addresses the study and characterization of the integrability of some generalized Heisenberg ferromagnet equations (GHFE) in 1+1 dimensions. Lax representations for these GHFE are successfully obtained. The gauge equivalent counterparts of these integrable GHFE are presented.
Ê Ú ¼ Ù Ù×Ø ¾¼½½ ÔØ ½½ ÇØÓ Ö ¾¼½½ ×ØÖ ØIn this paper, we have considered the g-essence and its particular cases, k-essence and f-essence, within the framework of the Einstein-Cartan theory. We have shown that a single fermionic field can give rise to the accelerated expansion within the Einstein-Cartan theory.
We study the two particular models of g-essence with Yukawa type interactions between a scalar field φ and a classical Dirac field ψ. For the homogeneous, isotropic and flat FriedmannRobertson-Walker universe filled with the such g-essence, some exact solutions of these models are found. Moreover, we reconstruct the corresponding scalar and fermionic potentials.
In this work, some new integrable and nonintegrable cosmological models of the Hořava-Lifshitz gravity are proposed. For some of them, exact solutions are presented. Then these results extend for the F(R) Hořava-Lifshitz gravity theory case. In particular, several integrable cosmological models of this modified gravity theory were constructed in the explicit form.
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.