Our investigation involves sequential warped product manifolds that contain gradient Ricci-Bourguignon harmonic solutions. We present the primary connections for a gradient Ricci-Bourguignon harmonic solution on sequential warped product manifolds. In practical applications, our research inves-tigates gradient Ricci-Bourguignon harmonic solitons for sequential generalized Robertson-Walker space-times and sequential standard static spacetimes. Our finding generalizes all results proven in 23.
Suh et al. (Wed,) studied this question.
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