Some new static charged spheres

被引：17

作者：

Maharaj, S. D. ^{[1
]}

Thirukkanesh, S. ^{[1
,2
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, Astrophys & Cosmol Res Unit, ZA-4000 Durban, South Africa

[2] Eastern Univ, Dept Math, Chenkalady, Sri Lanka

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Exact solutions; Einstein-Maxwell equations; Relativistic astrophysics; PERFECT-FLUID SOLUTIONS; GENERAL-RELATIVITY; SHEAR-FREE; EQUATIONS; MODEL; STAR;

D O I：

10.1016/j.nonrwa.2008.09.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new exact solutions for the Einstein-Maxwell system in static spherically symmetric interior spacetimes. For a particular form of the gravitational potentials and the electric field intensity, it is possible to integrate the system in a closed form. For specific parameter values it is possible to find new exact models for the Einstein-Maxwell system in terms of elementary functions. Our model includes a particular charged solution found previously; this suggests that our generalized solution could be used to describe a relativistic compact sphere. A physical analysis indicates that the solutions describe realistic matter distributions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3396 / 3403

页数：8

共 13 条

[1] NEW ANALYTICAL STELLAR MODEL IN GENERAL-RELATIVITY [J].

DURGAPAL, MC ;

BANNERJI, R .

PHYSICAL REVIEW D, 1983, 27 (02) :328-331

[2]

Feroze T, 2003, NUOVO CIM B, V118, P895

[3] Static charged perfect fluid spheres in general relativity [J].

Ivanov, BV .

PHYSICAL REVIEW D, 2002, 65 (10)

[4] An exact isotropic solution [J].

John, A. J. ;

Maharaj, S. D. .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2006, 121 (01) :27-33

[5] Tikekar superdense stars in electric fields [J].

Komathiraj, K. ;

Maharaj, S. D. .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (04)

[6] Classes of exact Einstein-Maxwell solutions [J].

Komathiraj, K. ;

Maharaj, S. D. .

GENERAL RELATIVITY AND GRAVITATION, 2007, 39 (12) :2079-2093

[7] Generating potentials via difference equations [J].

Maharaj, S. D. ;

Thirukkanesh, S. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2006, 29 (16) :1943-1952

[8] Exact solutions for the Tikekar superdense star [J].

Maharaj, SD ;

Leach, PGL .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (01) :430-437

[9]

Mahomed FM, 2003, NUOVO CIM B, V118, P373

[10] Noether symmetries of y" = f(z)yn with applications to non-static spherically symmetric perfect fluid solutions [J].

Soh, CW ;

Mahomed, FM .

CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (11) :3553-3566

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