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چکیده
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We investi gate the inter acting hologr aphic dark energy (HDE) with Granda–Oliveros (GO) infrared (IR)-cutoff in the framework of Brans–Dicke (BD) cosmology. We obtain the equation of state (EoS) parameter of HDE, w D ,theeffectiveEoSparameterw , the deceleration parameter q and the squared of sound speed v 2 s in a flat Friedmann– Robertson–Walker (FRW) universe. We show that at late-time the cosmic coincidence problem can be alleviated. Also we show that for non interacting case, HDE can give a unified dark matter–dark energy(DM–DE)profileinBDcosmology,except that it cannot solve the coincidence problem in the future. By studying the EoS parameter, we see that the phantom divide may be crossed. Using the latest observational data, we calculate the best values of the parameters for interacting HDE in BD framework. Computing the deceleration parameter implies that the transition from deceleration to the acceleration phase occurred for redshift z ≥ 0.5. Finally, we investigate the sound stability of the model, and find that HDE with Granda–Oliveros (GO)-cutoff in the framework of BD cosmology can lead to a stable DE-dominated universe favored by observations, provided we take β =0.44 and b 2 < 0.35. This is in contrast to HDE model in Einstein gravity which does not lead to a stable DE-dominated universe. eff
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