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In this paper, we discuss the holographic first order QCD phase transitionwith gluon condensate and the generation of gravitational waves (GWs) from thephase transition. The first order QCD phase transition is dual to the firstorder Hawking-Page phase transition from holography. We study the first orderHawking-Page phase transition from the thermal dilatonic phase to the dilatonicblack hole phase and find the phase transition temperature is proportional tothe gluon condensate. After substituting into the phenomenological value ofgluon condensate from QCD sum rules, we find $T_c=155.38\ MeV$. In furtherresearch, we study the GWs generated from holographic cosmic first order QCDphase transition with gluon condensate and the produced GWs might be detectedby the International Pulsar Timing Array, Square Kilometre Array and Big-BangObserver. Moreover, the gluon condensate suppresses the energy density of totalGWs and peak frequency.

Gravitational waves from holographic QCD phase transition with gluon condensate