Well behaved class of charge analogue of Heintzmann's relativistic exact solution

被引:72
作者
Pant, Neeraj [1 ]
Mehta, R. N. [1 ]
Pant, Mamta [2 ]
机构
[1] Natl Def Acad, Dept Math, Pune 411023, Maharashtra, India
[2] Kumaun Univ, Dept Math, Almora 263601, India
关键词
Charge fluid; Reissner-Nordstrom; General relativity; Exact solution; GENERAL-RELATIVITY; FLUID SPHERES; EINSTEINS EQUATIONS; STATIC SOLUTIONS; FIELD;
D O I
10.1007/s10509-010-0509-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a well behaved class of Charge Analogue of Heintzmann (Z. Phys. 228:489, 1969) solution. This solution describes charge fluid balls with positively finite central pressure and positively finite central density ; their ratio is less than one and causality condition is obeyed at the centre. The outmarch of pressure, density, pressure-density ratio and the adiabatic speed of sound is monotonically decreasing, however, the electric intensity is monotonically increasing in nature. The solution gives us wide range of constant K (1.25a parts per thousand currency signKa parts per thousand currency sign15) for which the solution is well behaved and therefore, suitable for modeling of super dense star. For this solution the mass of a star is maximized with all degrees of suitability and by assuming the surface density rho (b) =2x10(14) g/cm(3). Corresponding to K=1.25 and X=0.42, the maximum mass of the star comes out to be 3.64M (I similar to) with linear dimension 24.31 km and central redshift 1.5316. The charge analogue of Heint-solution has simple algebraic expressions. In order to study the behavior of physical parameters from centre to boundary we use the analytic method with the help of the developed theorem. However, the charge analogue of exact solutions, so far obtained, the numerical methods have been used to study the behavior of physical parameters from centre to boundary.
引用
收藏
页码:473 / 479
页数:7
相关论文
共 21 条
[1]   FLUID SPHERE IN GENERAL RELATIVITY [J].
ADLER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (06) :727-729
[2]  
Bonnor W.B., 1965, MON NOT R ASTRON SOC, V137, P239, DOI DOI 10.1093/MNRAS/129.6.443
[3]   STATIC CHARGED FLUID SURROUNDED BY A BLACK ANTI-HOLE - AN ENLARGED KLEIN SOLUTION [J].
CATALDO, M ;
MITSKIEVIC, NV .
CLASSICAL AND QUANTUM GRAVITY, 1992, 9 (02) :545-552
[4]   Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations [J].
Delgaty, MSR ;
Lake, K .
COMPUTER PHYSICS COMMUNICATIONS, 1998, 115 (2-3) :395-415
[5]   EQUILIBRIUM OF A STATIC CHARGED PERFECT FLUID SPHERE [J].
DIONYSIOU, DD .
ASTROPHYSICS AND SPACE SCIENCE, 1982, 85 (1-2) :331-343
[6]   ANALYTIC RELATIVISTIC MODEL FOR A SUPERDENSE STAR [J].
DURGAPAL, MC ;
FULORIA, RS .
GENERAL RELATIVITY AND GRAVITATION, 1985, 17 (07) :671-681
[7]   A CLASS OF NEW EXACT-SOLUTIONS IN GENERAL-RELATIVITY [J].
DURGAPAL, MC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (08) :2637-2644
[8]   THE COMPLETE FIELD OF CHARGED PERFECT FLUID SPHERES AND OF OTHER STATIC SPHERICALLY SYMMETRIC CHARGED DISTRIBUTIONS [J].
FLORIDES, PS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (07) :1419-1433
[9]   OSCILLATORY CHARACTER OF REISSNER-NORDSTROM METRIC FOR AN IDEAL CHARGED WORMHOLE [J].
GRAVES, JC ;
BRILL, DR .
PHYSICAL REVIEW, 1960, 120 (04) :1507-1513
[10]   A class of charged analogues of Durgapal and Fuloria superdense star [J].
Gupta, Y. K. ;
Maurya, Sunil Kumar .
ASTROPHYSICS AND SPACE SCIENCE, 2011, 331 (01) :135-144