Farwa KhurshidCIIT/FA19-RMT-105/LHRDr. Shamaila RaniLHR TP 74302026-05-052021https://repository.cuilahore.edu.pk/123456789/3853The interaction of newly proposed holographic dark energy model, Bar- row holographic dark energy model is being used to analyze the cosmic expansion phenomenon. We consider the interaction between dark energy and dark matter in the realm of scalar field theory. For the power law, quadratic and quartic (positive and negative) potentials, we investigate the different cosmological implications. This includes the equation of state pa- rameter ωD which identifies different eras of the expanding universe, cosmic plane ωD − ω0 D (where ω0 D shows the evolution of equation of state para- meter ωD where prime shows derivative with respect to ln a) and squared speed of sound parameter v2 s for the stability analysis of the models.enDepartment of MathematicsFA19MathematicsCosmic ExpansionScalar Field TheoryDark EnergyFLRW UniverseDr. Shamaila RaniThesis