Generic autonomous system approach to interacting dark energy models


Shah P. Samanta G.C. Bamba K. Myrzakulov R.
1 March 2023World Scientific

International Journal of Geometric Methods in Modern Physics
2023#20Issue 3

We explore an autonomous system analysis of dark energy models with interactions between dark energy and cold dark matter in a general systematic approach to cosmological fluids. We investigate two types of models such as local and non-local ones. In particular, a local form of interaction is directly proportional to only the energy density, while a non-local interaction is directly proportional to the energy density as well as the Hubble parameter. As a consequence, it is explicitly demonstrated that in both cases there exist the stability points in terms of cosmological parameters. This work aims at obtaining acceleration and stability using interaction models without modifying the matter or geometric component of the Universe.

dynamical system analysis , General relativity , interaction models

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Department of Mathematics, VIT AP University, Amaravati, 522237, India
P.G. Department of Mathematics, Fakir Mohan University, Odisha, Balasore, 756019, India
Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan
Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan

Department of Mathematics
P.G. Department of Mathematics
Division of Human Support System
Eurasian International Centre for Theoretical Physics

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