Consistent derivation of the Hawking effect for both nonextremal and extremal Kerr black holes

被引：6

作者：

Barman, Subhajit ^{[1
]}

Hossain, Golam Mortuza ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Kolkata, Dept Phys Sci, Mohanpur 741246, WB, India

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 06期

关键词：

RADIATION; SCALAR;

D O I：

10.1103/PhysRevD.99.065010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

It is believed that extremal black holes do not emit Hawking radiation as understood by taking extremal limits of nonextremal black holes. However, it is debated whether one can make such a conclusion reliably starting from an extremal black hole, as the associated Bogoliubov coefficients which relate ingoing and outgoing field modes do not satisfy the required consistency condition. We address this issue in a canonical approach first by presenting an exact canonical derivation of the Hawking effect for nonextremal Kerr black holes. Subsequently, for extremal Kerr black holes, we show that the required consistency condition is satisfied in the canonical derivation and it produces zero number density for Hawking particles. We also point out the reason behind the reported failure of Bogoliubov coefficients to satisfy the required condition.

引用

页数：12

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