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The Blandford-Znajek (BZ) mechanism in stellar-mass black hole (BH)hyperaccretion systems is generally considered to power gamma-ray bursts(GRBs). Based on observational GRB data, we use the BZ mechanism driven by theBH hyperaccretion disc to investigate the evolution of the BH mass and spinafter the jets break out from the progenitors. We find that the BH growths arealmost independent of initial BH masses. Meanwhile, the BH growths will be moreefficient with smaller initial spin parameters. We conclude that (i) the BZmechanism is efficient for triggering BH growths for only 1 of 206 typicallong-duration GRBs; (ii) the mean BH mass growths of ultra-long GRBs aremarginal for all 7 samples collected; (iii) for the short-duration GRBs, theresults that BHs show minimal growths is consistent with the mass supplylimitation in the scenario of compact object mergers.

Black hole growths in gamma-ray bursts driven by the Blandford-Znajek mechanism