Conserved charges of Kerr–Ads spacetime using Poincaré gauge version

doi:10.1088/1674-1056/22/12/120401

中国物理B ›› 2013, Vol. 22 ›› Issue (12): 120401-120401.doi: 10.1088/1674-1056/22/12/120401

Conserved charges of Kerr–Ads spacetime using Poincaré gauge version

Gamal G. L. Nashed^{a b}

a Basic Science Department, Faculty of Engineering, The British University in Egypt Sherouk City 11837, P. O. Box 43, Egypt;
b Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt

收稿日期:2013-04-26 修回日期:2013-05-22 出版日期:2013-10-25 发布日期:2013-10-25
基金资助:
Project partially supported by the Science Fund from the Egyptian Ministry of Scientific Research (Grant No. 24-2-12).

Conserved charges of Kerr–Ads spacetime using Poincaré gauge version

Gamal G. L. Nashed^{a b}

a Basic Science Department, Faculty of Engineering, The British University in Egypt Sherouk City 11837, P. O. Box 43, Egypt;
b Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt

Received:2013-04-26 Revised:2013-05-22 Online:2013-10-25 Published:2013-10-25
Contact: Gamal G. L. Nashed E-mail:nashed@bue.edu.eg
Supported by:
Project partially supported by the Science Fund from the Egyptian Ministry of Scientific Research (Grant No. 24-2-12).

摘要/Abstract

摘要： The process of covariant conserved charge of gravitational theory, which is covariant under general coordinate and local Lorentz transformations, has been applied to many tetrad fields, which reproduce Kerr-Ads spacetime, to calculate their conserved charges. It is shown that this process gives an infinite value of the conserved charges for Kerr–Ads spacetime. Therefore, the method of “regularization through relocalization”, i.e., modification of the Lagrangian of the gravitational field through a total derivative, is used. This method gaves a finite and a consistent result of total energy and angular momentum for Kerr–Ads spacetime.

关键词: Kerr–, Ads spacetimes, total conserved charges, Poincaré, gauge version

Abstract: The process of covariant conserved charge of gravitational theory, which is covariant under general coordinate and local Lorentz transformations, has been applied to many tetrad fields, which reproduce Kerr-Ads spacetime, to calculate their conserved charges. It is shown that this process gives an infinite value of the conserved charges for Kerr–Ads spacetime. Therefore, the method of “regularization through relocalization”, i.e., modification of the Lagrangian of the gravitational field through a total derivative, is used. This method gaves a finite and a consistent result of total energy and angular momentum for Kerr–Ads spacetime.

Key words: Kerr–Ads spacetimes, total conserved charges, Poincaré, gauge version

中图分类号: (Fundamental problems and general formalism)

04.20.Cv

04.50.Kd (Modified theories of gravity) 04.90.+e (Other topics in general relativity and gravitation)

Gamal G. L. Nashed. Conserved charges of Kerr–Ads spacetime using Poincaré gauge version[J]. 中国物理B, 2013, 22(12): 120401-120401.

Gamal G. L. Nashed. Conserved charges of Kerr–Ads spacetime using Poincaré gauge version[J]. Chin. Phys. B, 2013, 22(12): 120401-120401.

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Conserved charges of Kerr–Ads spacetime using Poincaré gauge version

Conserved charges of Kerr–Ads spacetime using Poincaré gauge version

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