Abstract
AbstractA classical field theory description (which can be obtained from an \(f(R,\chi )\)) of dark energy–dark matter interaction is considered. Demanding that the interaction strength \(Q_{\nu }\) in the dark sector must have a field theory description and a fluid description, a unique form of interaction strength is obtained. It is shown that the one-to-one mapping between the classical field theory description and the phenomenological fluid description of dark energy–dark matter interaction exists only for this unique form of interaction. Then a novel autonomous system and its stability analysis for the general interacting dark sector is introduced, followed by the background analysis for a specific potential and interaction function.
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