The energy-momentum localization for a new four-dimensional and spherically symmetric, charged black hole solution that through a coupling of general relativity with non-linear electrodynamics is everywhere non-singular while it satisfies the weak energy condition, is investigated. The Einstein and Møller energy-momentum complexes have been employed in order to calculate the energy distribution and the momenta for the aforesaid solution. It is found that the energy distribution depends explicitly on the mass and the charge of the black hole, on two parameters arising from the space-time geometry considered, and on the radial coordinate. Further, in both prescriptions all the momenta vanish. In addition, a comparison of the results obtained by the two energy-momentum complexes is made, whereby some limiting and particular cases are pointed out.

中文翻译：

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满足弱能量条件的非奇异黑洞解的能量

研究了一种新的四维且球对称的带电黑洞解决方案的能量动量局部化，该解决方案通过广义相对论与非线性电动力学的耦合，在满足弱能量条件的任何地方都是非奇异的。为了计算上述解的能量分布和动量，已经使用了爱因斯坦和莫勒能量动量络合物。发现能量分布明确取决于黑洞的质量和电荷，取决于所考虑的时空几何形状产生的两个参数以及径向坐标。此外，在两种处方中，所有的瞬间都消失了。另外，比较了两种能量动量络合物获得的结果，从而指出了一些局限性和特殊情况。