Singularities of noncompact charged objects

doi:10.1088/1674-1056/22/3/030401

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30401-030401.doi: 10.1088/1674-1056/22/3/030401

Singularities of noncompact charged objects

M. Sharif, G. Abbas

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan

收稿日期:2012-06-06 修回日期:2012-09-25 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the Higher Education Commission of Pakistan through the Indigenous Ph.D. 5000 Fellowship Program Batch-IV.

Singularities of noncompact charged objects

M. Sharif, G. Abbas

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan

Received:2012-06-06 Revised:2012-09-25 Online:2013-02-01 Published:2013-02-01
Contact: M. Sharif E-mail:msharif.math@pu.edu.pk
Supported by:
Project supported by the Higher Education Commission of Pakistan through the Indigenous Ph.D. 5000 Fellowship Program Batch-IV.

摘要/Abstract

摘要： We formulate a model of noncompact spherical charged objects in the framework of noncommutative field theory. The Einstein-Maxwell field equations are solved with charged anisotropic fluid. We choose matter and charge densities as functions of two parameters instead of defining these quantities in terms of Gaussian distribution function. It is found that the corresponding densities and the Ricci scalar are singular at origin, whereas the metric is nonsingular, indicating a spacelike singularity. The numerical solution of the horizon equation implies that there are two or one or no horizon(s) depending on the mass. We also evaluate the Hawking temperature, and find that a black hole with two horizons is evaporated to an extremal black hole with one horizon.

关键词: noncommutative geometry, electromagnetic field, spacetime singularity

Abstract: We formulate a model of noncompact spherical charged objects in the framework of noncommutative field theory. The Einstein–Maxwell field equations are solved with charged anisotropic fluid. We choose matter and charge densities as functions of two parameters instead of defining these quantities in terms of Gaussian distribution function. It is found that the corresponding densities and the Ricci scalar are singular at origin, whereas the metric is nonsingular, indicating a spacelike singularity. The numerical solution of the horizon equation implies that there are two or one or no horizon(s) depending on the mass. We also evaluate the Hawking temperature, and find that a black hole with two horizons is evaporated to an extremal black hole with one horizon.

Key words: noncommutative geometry, electromagnetic field, spacetime singularity

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

04.20.Cv

04.20.Dw (Singularities and cosmic censorship)

M. Sharif, G. Abbas. Singularities of noncompact charged objects[J]. 中国物理B, 2013, 22(3): 30401-030401.

M. Sharif, G. Abbas. Singularities of noncompact charged objects[J]. Chin. Phys. B, 2013, 22(3): 30401-030401.

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Singularities of noncompact charged objects

Singularities of noncompact charged objects

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