Nonlinear spinor fields in an anisotropic universe filled with viscous fluid: Exact solutions and qualitative analysis

In this article, within the framework of general relativity, the possible effect of the gravitational interaction of Dirac nonlinear spinor fields on the evolution of the Universe, on the formation of astrophysical objects and on the formation of the geometry of the local space-time of elementary particles with spin ħ / 2 is considered.

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On the Functional Definition and Calculation of Global Observables in Nonlinear Spinor Field Quantum Theory

Zeitschrift für Naturforschung A ◽

10.1515/zna-1972-0704 ◽

1972 ◽

Vol 27 (7) ◽

pp. 1058-1072

Author(s):

H Stumpf

Keyword(s):

Quantum Theory ◽

Spinor Field ◽

Free Field ◽

Functional Space ◽

Nonlinear Spinor ◽

Spinor Theory ◽

Spinor Fields

Abstract Nonlinear spinor theory contains unobservable field operators which cannot be identified with free field operators. Therefore for the comparson with experiment a theory of observables for nonlinear spinor fields is required. This theory is developed for global observables by means of a map into functional space, and leads to a functional quantum theory of nonlinear spinor fields

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Exact Solutions Incompressible Viscous Fluid Flow for General Function of Degree Six

2018 International Conference on Applied and Engineering Mathematics (ICAEM) ◽

10.1109/icaem.2018.8536298 ◽

2018 ◽

Author(s):

Zehra Akther Naveed ◽

Mehwish Shafi Khan ◽

Maria Khan ◽

Syed Anwer Ali

Keyword(s):

Fluid Flow ◽

Viscous Fluid ◽

Exact Solutions ◽

Incompressible Viscous Fluid ◽

General Function ◽

Viscous Fluid Flow

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Exact solutions to 2D isothermal Euler-Poisson equations with qualitative analysis

Chinese Journal of Physics ◽

10.1016/j.cjph.2020.07.005 ◽

2020 ◽

Vol 67 ◽

pp. 293-304

Author(s):

Sen Wong ◽

Ling Hei Yeung ◽

Manwai Yuen

Keyword(s):

Qualitative Analysis ◽

Exact Solutions ◽

Poisson Equations

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Dynamics of Bianchi V Ih universe with bulk viscous fluid in modified gravity

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887818500366 ◽

2018 ◽

Vol 15 (03) ◽

pp. 1850036 ◽

Cited By ~ 7

Author(s):

B. Mishra ◽

Sankarsan Tarai ◽

S. K. J. Pacif

Keyword(s):

Viscous Fluid ◽

Dynamical Behavior ◽

Momentum Tensor ◽

Matter Field ◽

Energy Conditions ◽

Anisotropic Universe ◽

Late Time ◽

Bulk Viscous Fluid ◽

Bulk Viscous ◽

Theory Of Gravity

In this paper, the dynamical behavior of the anisotropic universe has been investigated in [Formula: see text] theory of gravity. The functional [Formula: see text] has been rescaled in the form [Formula: see text], where [Formula: see text] is the Ricci scalar and [Formula: see text] is the trace of energy momentum tensor. Three cosmological models are constructed using the power law expansion in Bianchi type [Formula: see text] ([Formula: see text]) universe for three different values of [Formula: see text], where the matter field is considered to be of bulk viscous fluid. It is observed that the anisotropic [Formula: see text] model in the modified theory of gravity is in agreement with a quintessence phase for the value of [Formula: see text] and [Formula: see text]. We could not obtain a viable cosmological model in accordance with the present day observations for [Formula: see text]. The bulk viscous coefficient in both the cases are found to be positive and remain constant at late time. The physical behaviors of the models along with the energy conditions are also studied.

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