Abstract
We suggest that an extreme Kerr black hole with a mass ∼106 M⊙, a dimensionless angular momentum and a marginally stable orbital radius located in a normal galaxy may produce a γ-ray burst (GRB) by capturing and disrupting a star. During the capture period, a transient accretion disc is formed and a strong transient magnetic field ∼ lasting for may be produced at the inner boundary of the accretion disc. A large amount of rotational energy of the black hole is extracted and released in an ultrarelativistic jet with a bulk Lorentz factor Γ larger than 103 via the Blandford–Znajek process. The relativistic jet energy can be converted into γ-radiation via an internal shock mechanism. The GRB duration should be the same as the lifetime of the strong transient magnetic field. The maximum number of sub-bursts is estimated to be because the disc material is likely to break into pieces with a size about the thickness of the disc h at the cusp The shortest risetime of the burst estimated from this model is ∼ The model GRB density rate is also estimated.
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