Kileba Matondo Didier, Maharaj Sunil D
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa.
Department of Physics, University of Kinshasa, Kinshasa, Democratic Republic of the Congo.
Entropy (Basel). 2021 Oct 26;23(11):1406. doi: 10.3390/e23111406.
In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry. This mechanism leads to a first-order differential equation containing pressure anisotropy and the electric field. Particular forms of the electric field intensity, combined with the Tolman VII metric, are used to solve the Einstein-Maxwell field equations. New classes of exact solutions generated are expressed in terms of elementary functions. For specific parameter values based on the physical requirements, it is shown that the model satisfies the causality, stability and energy conditions. Numerical values generated for masses, radii, central densities, surface redshifts and compactness factors are consistent with compact objects such as PSR J1614-2230 and SMC X-1.
在本研究中，我们通过假设由共形对称性产生的度规函数之间的关系，研究了一个带电各向异性致密星模型。这种机制导致了一个包含压力各向异性和电场的一阶微分方程。结合托尔曼VII度规，使用电场强度的特定形式来求解爱因斯坦 - 麦克斯韦场方程。所生成的新的精确解类别以初等函数表示。对于基于物理要求的特定参数值，结果表明该模型满足因果性、稳定性和能量条件。所生成的质量、半径、中心密度、表面红移和致密性因子的数值与诸如PSR J1614 - 2230和SMC X - 1等致密天体一致。
