一类新的Adler相对论精确解的电荷模拟
A new well behaved class of charge analogue of Adler's relativistic exact solution
摘要：
本文给出了具有特定形式电场强度的静态球对称带电理想流体的广义相对论Einstein-Maxwell场方程的一类新的参数内部解。这个解决方案给了我们很宽的参数范围，K，解决方案表现良好，因此，适用于超致密星的建模。对于这个解，通过假设恒星的表面密度等于正常核密度2.5E17 kg/m3，超密度天体的引力质量在所有适用程度上都被最大化。利用这个模型，我们得到蟹状星云质量的保守估计为1.401太阳质量，半径12.98 km，转动惯量参数大于1.61;蟹状星云质量的最新估计为2太阳质量，半径2.0156太阳质量，半径14.07 km，转动惯量参数大于3.04 4.6太阳的质量与蟹状星云脉冲星的质量和半径的可能值非常吻合，另外，我们的模型还得到PSR J 0737 - 3039 A和PSR J 0737 - 3039 B的转动惯量分别为1.4624E38 kgm 2和1.2689E38 kgm 2。我们已经观察到，在良好的条件下，这类参数解给我们的最大引力质量的因果超密天体2.8020太阳质量，半径14.49公里，表面红移0.4319，电荷4.67 E20 C，和中心密度2.68倍核密度。
英文摘要：
The paper presents a new class of parametric interior solutions of Einstein-Maxwell field equations in general relativity for a static spherically symmetric distribution of a charged perfect fluid with a particular form of electric field intensity. This solution gives us wide range of parameter, K, for which the solution is well behaved hence, suitable for modeling of superdense star. For this solution the gravitational mass of a superdense object is maximized with all degree of suitability by assuming the surface density of the star equal to the normal nuclear density 2.5E17 kg/m3. By this model we obtain the mass of the Crab pulsar 1.401 Solar mass and the radius 12.98 km constraining the moment of inertia parameter greater than 1.61 for the conservative estimate of Crab nebula mass 2 Solar mass and 2.0156 Solar mass with radius 14.07 km constraining the moment of inertia parameter greater than 3.04 for the newest estimate of Crab nebula mass 4.6 Solar mass which are quite well in agreement with the possible values of mass and radius of Crab pulsar.Besides this, our model yields the moments of inertia for PSR J0737-3039A and PSR J0737-3039B are 1.4624E38 kgm2 and 1.2689E38 kgm2 respectively. It has been observed that under well behaved conditions this class of parametric solution gives us the maximum gravitational mass of causal superdense object 2.8020 Solar mass with radius 14.49 km, surface redshift 0.4319, charge 4.67E20 C, and central density 2.68 times nuclear density.
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