论文标题
充电各向异性紧凑型物体符合Karmarkar条件
Charged anisotropic compact objects obeying Karmarkar condition
论文作者
论文摘要
这项研究开发了爱因斯坦 - 马克斯韦场方程的完善的分析解决方案。我们分析了由带电各向异性物质分布驱动的球形对称和静态内部的行为。 I类方法用于关闭方程系统，并施加了各向异性因子与电场之间的合适关系。使用ANSATZ描述了该玩具模型的内部几何形状，用于与众所周知的各向同性Buchdahl时空相对应的径向度量电位。探索了主要特性，以确定所获得的模型是否适合代表真正的紧凑型身体，例如中子或夸克之星。 {我们使用紧凑型对象的数据固定了质量和半径} SMC X-1和LMC X-4。发现电场和电动电荷的大小分别为$ \ sim 10^{21} \ [v/cm] $和$ \ sim 10^{20} \ [c] $。电场和电荷的大小取决于无量纲参数$χ$。为了观察这些对总质量，质量 - 拉迪乌斯比和表面重力红移的影响，我们计算了$χ$的不同值的数值数据。
This research develops a well-established analytical solution of the Einstein-Maxwell field equations. We analyze the behavior of a spherically symmetric and static interior driven by a charged anisotropic matter distribution. The class I methodology is used to close the system of equations and a suitable relation between the anisotropy factor and the electric field is imposed. The inner geometry of this toy model is described using an ansatz for the radial metric potential corresponding to the well-known isotropic Buchdahl space-time. The main properties are explored in order to determine if the obtained model is appropriate to represent a real compact body such as neutron or quark star. {We have fixed the mass and radii using the data of the compact objects} SMC X-1 and LMC X-4. It was found that the electric field and electric charge have magnitudes of the order of $\sim 10^{21}\ [V/cm]$ and $\sim 10^{20}\ [C]$, respectively. The magnitude of the electric field and electric charge depends on the dimensionless parameter $χ$. To observe these effects on the total mass, mass-radius ratio and surface gravitational red-shift, we computed numerical data for different values of $χ$.
