Energy and momentum of rotating frames in tetrad gravity

doi:10.1088/1674-1056/20/10/100402

摘要/Abstract

摘要： Within the framework of the tetrad formulation of general relativity theory, we compute the total energy and momentum of four rotating frames using the gravitational energy-momentum 3-form. We show how the effect of inertia always makes the total energy divergent. We use a natural regularization method to obtain physical values for the total energy of the system and show how it works on a number of explicit examples. We also show by calculation that inertia has no effect on the momentum components.

Abstract: Within the framework of the tetrad formulation of general relativity theory, we compute the total energy and momentum of four rotating frames using the gravitational energy-momentum 3-form. We show how the effect of inertia always makes the total energy divergent. We use a natural regularization method to obtain physical values for the total energy of the system and show how it works on a number of explicit examples. We also show by calculation that inertia has no effect on the momentum components.

Key words: teleparallel gravity, energy-momentum, Weitzenböck 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 momentum of rotating frames in tetrad gravity[J]. 中国物理B, 2011, 20(10): 100402-100402.

Gamal G L Nashed . Energy and momentum of rotating frames in tetrad gravity[J]. Chin. Phys. B, 2011, 20(10): 100402-100402.

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