In the present research note, we explore the nature of the conformal Ricci solitons on the energy–momentum squared gravity model
that is a modification of general relativity. Furthermore, we deal with a subcase of the
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In the present research note, we explore the nature of the conformal Ricci solitons on the energy–momentum squared gravity model
that is a modification of general relativity. Furthermore, we deal with a subcase of the
-gravity model coupled with a perfect fluid, which admits conformal Ricci solitons with a time-like concircular vector field. Using the steady conformal Ricci soliton, we derive the equation of state for the perfect fluid in the
-gravity model. In this series, we convey an indication of the pressure and density in the phantom barrier period and the stiff matter era, respectively. Finally, using a conformal Ricci soliton with a concircular vector field, we study the various energy constraints, black holes, and singularity circumstances for a perfect fluid coupled to
-gravity. Lastly, employing conformal Ricci solitons, we formulate the first law of thermodynamics, enthalpy, and the particle production rate in
-gravity and orthodox gravity.
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