Viscous coupled fluids in terms of a log-corrected equation-of-state
Brevik I. Myrzakulov K. Timoshkin A.V. Zhadyranova A.
1 October 2021World Scientific
International Journal of Geometric Methods in Modern Physics
2021#18Issue 12
In this paper, we consider a class of cosmological fluids that possess properties analogous to those of crystalline solids undergoing isotropic deformations. Our research is based on a modified log-corrected power-law equation of state in the presence of a bulk viscosity. This formalism represents a class of the so-called logotropic fluids, and allows explaining an accelerating late-time universe. In order to obtain a more detailed picture of its evolution, we add in our model a coupling of the log-corrected power-law fluid to dark matter, and study various interacting forms between them. We solve the system of equations for a modified log-power-law fluid coupled to dark matter, and obtain expressions for the log-corrected power-law energy density, and the energy density for dark matter. A comparative analysis is made with the model of a nonviscous log-corrected power-law fluid without interaction with dark matter.
cosmological equation of state , Viscous cosmology , viscous dark fluid
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Department of Energy and Process Engineering, Norwegian University of Science and Technology, Trondheim, N-7491, Norway
Eurasian International Center for Theoretical Physics, Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Tomsk State Pedagogical University, Kievskaja Street 60, Tomsk, 634061, Russian Federation
Tomsk State University, Control Systems and Radio Electronics, International Laboratory of Theoretical Cosmology, Lenin Avenue 36, Tomsk, 634050, Russian Federation
Department of Energy and Process Engineering
Eurasian International Center for Theoretical Physics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Tomsk State Pedagogical University
Tomsk State University
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