Einstein-Maxwell Field Equation in Isotropic Coordinates: An Application to Modeling Superdense Star

被引:1
作者
Pant, Neeraj [1 ]
Ahmad, Mohammad [1 ]
Pradhan, N. [2 ]
机构
[1] Natl Def Acad, Dept Math, Pune 411023, Maharashtra, India
[2] Natl Def Acad, Dept Phys, Pune 411023, Maharashtra, India
关键词
General relativity; relativistic astrophysics; exact solution; isotropic coordinates; compact star; PERFECT FLUID SOLUTIONS; STATIC SOLUTIONS; SPHERES;
D O I
10.1007/s12036-016-9375-z
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a charged analogue of Pant et al. (2010, Astrophys. Space Sci., 330, 353) solution of the general relativistic field equations in isotropic coordinates by using simple form of electric intensity E that involve charge parameter K. Our solution is well behaved in all respects for all values of X lying in the range 0< X <= 0.11, K lying in the range 4 < K <= 6.2 and Schwarzschild compactness parameter u lying in the range 0 < u <= 0.247. Since our solution is well behaved for wide ranges of the parameters, we can model many different types of ultra-cold compact stars like quark stars and neutron stars. We have shown that corresponding to X = 0.077 and K = 6.13 for which u = 0.2051 and by assuming surface density rho(b) = 4.6888 x 10(14) g cm(-3) the mass and radius are found to be 1.509 M-circle dot , 10.906 km respectively which match with the observed values of mass 1.51M(circle dot) and radius 10.90 km of the quark star XTE J1739-217. The well behaved class of relativistic stellar models obtained in this work might have astrophysical significance in the study of more realistic internal structures of compact
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页码:1 / 11
页数:11
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共 53 条
[1]   ANALYTIC STELLAR MODELS IN GENERAL RELATIVITY [J].
ADAMS, RC ;
COHEN, JM .
ASTROPHYSICAL JOURNAL, 1975, 198 (02) :507-512
[2]   FLUID SPHERE IN GENERAL RELATIVITY [J].
ADLER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (06) :727-729
[3]   JUNCTION CONDITIONS IN GENERAL-RELATIVITY [J].
BONNOR, WB ;
VICKERS, PA .
GENERAL RELATIVITY AND GRAVITATION, 1981, 13 (01) :29-36
[4]   EXACT SOLUTIONS FOR OSCILLATING SPHERES IN GENERAL RELATIVITY [J].
BONNOR, WB ;
FAULKES, MC .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 137 (03) :239-&
[5]   OBESE NEUTRON STARS [J].
BRECHER, K ;
CAPORASO, G .
NATURE, 1976, 259 (5542) :377-378
[6]   GENERAL-RELATIVISTIC FLUID SPHERES .3. A STATIC GASEOUS MODEL [J].
BUCHDAHL, HA .
ASTROPHYSICAL JOURNAL, 1967, 147 (01) :310-&
[7]   A REALTIVISTIC FLUID SPHERE RESEMBLING EMDEN POLYTROPE OF INDEX 5 [J].
BUCHDAHL, HA .
ASTROPHYSICAL JOURNAL, 1964, 140 (04) :1512-&
[8]   SOLIDIFICATION OF NEUTRON MATTER [J].
CANUTO, V .
PHYSICAL REVIEW C, 1975, 12 (06) :2033-2037
[9]   ISOTROPIC CASES OF STATIC CHARGED FLUID SPHERES IN GENERAL RELATIVITY [J].
Das, Basanti ;
Ray, Pratap Chandra ;
Radinschi, Irina ;
Rahaman, Farook ;
Ray, Saibal .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2011, 20 (09) :1675-1687
[10]   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