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在文章[吴迪等2013中国科学G辑物理学 力学 天文学 43 115]中，从有质量粒子的Lagrangian作用量出发，对Kerr转动黑洞中类时的和类光的测地线方程给出了全新的统一推导，结果表明对转动黑洞隧穿辐射的研究不需要局限地采用拖曳系. 这项工作完全克服了先前研究中存在的不足，使得Parikh-Wilczek半经典隧穿方法更加完善和自洽. 本文将这一工作推广到转动带电黑洞情形，对Kerr-Newman黑洞中有质量带电粒子测地线方程做了新的推导，并对其隧穿辐射重新做了研究.
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关键词:
- Kerr-Newman黑洞 /
- 隧穿辐射 /
- 测地线方程
In the paper [Wu D et al. Sci. sin. G: Phys. Mech. Astron. 43 115], starting from the action of a massive particle's Lagrangian, we have made a new, unified derivation of the timelike and null geodesics of a rotating Kerr black hole. Our results demonstrate that one need not constrain himself to adopt the dragging coordinate system to investigate the tunneling radiation of rotating black holes. That work completely overcomes all shortcomings existing in the previous related researches, thus making Parikh-Wilczek's semi-classical approach more perfect and consistent. In this paper, we extend that work to the case of a rotating charged black hole to present a new derivation of the geodesic equation of a massive charged particle in the Kerr-Newman black hole and to reinvestigate its tunneling radiation.-
Keywords:
- Kerr-Newman black hole /
- tunnelling radiation /
- geodesic equation
[1] Hawking S W 1975 Commun. Math. Phys. 43 199
[2] Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[3] Zhang J Y, Zhao Z 2005 J. High Energy Phys. 510 55
[4] Zhang J Y, Zhao Z 2005 Mod. Phys. Lett. A 20 1673
[5] Zhang J Y, Zhao Z 2005 Phys. Lett. B 618 14
[6] Zhang J Y, Zhao Z 2006 Phys. Lett. B 638 110
[7] Wu S Q, Jiang Q Q 2006 J. High Energy Phys. 0603 079
[8] Jiang Q Q, Wu S Q, Cai X 2006 Phys. Rev. D 73 064003
[9] Jiang Q Q, Wu S Q 2006 Acta Phys. Sin. 55 4428(in Chinese)[蒋青权, 吴双清 2006 55 4428]
[10] Chandrasekhar S 1992 The Mathematical Theory of Black Holes (Oxford: Oxford University Press)
[11] Wu D, Jiang Q Q, Wu S Q, Zhang L, Zhang L M 2013 Sci. Sin. Phys. Mech. Astron. 43 115(in Chinese)[吴迪, 蒋青权, 吴双清, 张蕾, 张礼梅 2013 中国科学G辑物理学 力学 天文学 43 115]
[12] Fang H Z 2010 Chin. Phys. B 19 110404
[13] Miao Y G, Xue Z, Zhang S J 2011 Europhys. Lett. 96 10008
[14] Miao Y G, Xue Z, Zhang S J 2012 Gen. Rel. Grav. 44 555
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[1] Hawking S W 1975 Commun. Math. Phys. 43 199
[2] Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[3] Zhang J Y, Zhao Z 2005 J. High Energy Phys. 510 55
[4] Zhang J Y, Zhao Z 2005 Mod. Phys. Lett. A 20 1673
[5] Zhang J Y, Zhao Z 2005 Phys. Lett. B 618 14
[6] Zhang J Y, Zhao Z 2006 Phys. Lett. B 638 110
[7] Wu S Q, Jiang Q Q 2006 J. High Energy Phys. 0603 079
[8] Jiang Q Q, Wu S Q, Cai X 2006 Phys. Rev. D 73 064003
[9] Jiang Q Q, Wu S Q 2006 Acta Phys. Sin. 55 4428(in Chinese)[蒋青权, 吴双清 2006 55 4428]
[10] Chandrasekhar S 1992 The Mathematical Theory of Black Holes (Oxford: Oxford University Press)
[11] Wu D, Jiang Q Q, Wu S Q, Zhang L, Zhang L M 2013 Sci. Sin. Phys. Mech. Astron. 43 115(in Chinese)[吴迪, 蒋青权, 吴双清, 张蕾, 张礼梅 2013 中国科学G辑物理学 力学 天文学 43 115]
[12] Fang H Z 2010 Chin. Phys. B 19 110404
[13] Miao Y G, Xue Z, Zhang S J 2011 Europhys. Lett. 96 10008
[14] Miao Y G, Xue Z, Zhang S J 2012 Gen. Rel. Grav. 44 555
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