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In this paper, we have used the reconstructed DBI-essence dark energy densityto modify the mass accretions of black holes and wormholes. In general, theblack hole mass accretion does not depend on the metric or local Einsteingeometry. That is why we have used a generalized mechanism by reconstructingthe DBI-essence dark energy reconstruction with f(R) gravity. We have used someparticular forms of the scale factor to analyze the accretion phenomena. Wehave shown the effect of cosmic evolution in the proper time variation of blackhole mass accretion. Finally, we have studied the validity of energy conditionsand analyzed the type I - IV singularities for our reconstructed model.

Reconstruction of DBI-essence dark energy with f(R) gravity and its effect on black hole and wormhole mass accretion