Energy and spatial momentum of charged rotating frames in tetrad gravity

doi:10.1088/1674-1056/20/11/110401

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110401-110401.doi: 10.1088/1674-1056/20/11/110401

Energy and spatial momentum of charged rotating frames in tetrad gravity

Gamal G.L. Nashed

Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt

收稿日期:2011-04-27 修回日期:2011-06-02 出版日期:2011-11-15 发布日期:2011-11-15

Energy and spatial momentum of charged rotating frames in tetrad gravity

Gamal G.L. Nashed^†

Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt

Received:2011-04-27 Revised:2011-06-02 Online:2011-11-15 Published:2011-11-15

摘要/Abstract

摘要： We compute the total energy and the spatial momentum of four charged rotating (Kerr-Newman) frames by using the gravitational energy-momentum 3-form within the framework of the tetrad formulation of the general relativity theory. We show how the effect of the inertial always makes the total energy divergent. We use a natural regularization method, which yields the physical value for the total energy of the system. We show how the regularization method works on a number of different rotating frames that are related to each other by the local Lorentz transformation. We also show that the inertial has no effect on the spatial momentum components.

关键词: teleparallel gravity, energy-momentum, Weitzenbö, ck connection, regularization teleparallelism

Abstract: We compute the total energy and the spatial momentum of four charged rotating (Kerr-Newman) frames by using the gravitational energy-momentum 3-form within the framework of the tetrad formulation of the general relativity theory. We show how the effect of the inertial always makes the total energy divergent. We use a natural regularization method, which yields the physical value for the total energy of the system. We show how the regularization method works on a number of different rotating frames that are related to each other by the local Lorentz transformation. We also show that the inertial has no effect on the spatial momentum components.

Key words: teleparallel gravity, energy-momentum, Weitzenb?ck connection, regularization teleparallelism

中图分类号: (Classical general relativity)

04.20.-q

04.20.Cv (Fundamental problems and general formalism) 04.20.Jb (Exact solutions) 04.50.Kd (Modified theories of gravity)

Gamal G.L. Nashed. Energy and spatial momentum of charged rotating frames in tetrad gravity[J]. 中国物理B, 2011, 20(11): 110401-110401.

Gamal G.L. Nashed . Energy and spatial momentum of charged rotating frames in tetrad gravity[J]. Chin. Phys. B, 2011, 20(11): 110401-110401.

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Energy and spatial momentum of charged rotating frames in tetrad gravity

Energy and spatial momentum of charged rotating frames in tetrad gravity

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