The localization of energy‐momentum for a four‐dimensional charged, static, and spherically symmetric, non‐singular black hole solution that asymptotically behaves as a Reissner–Nordström solution, is studied. The space–time geometry is distinguished by a particular distribution function entering the mass function m(r). The non‐singular character of the metric is warranted by the coupling of general relativity with a non‐linear electrodynamics, whereby the resulting electric field is everywhere non‐singular and asymptotically tends to the Maxwell field. The energy and momentum distributions are computed by applying the Einstein and Møller energy‐momentum complexes. It is found that all the momenta vanish, while the energies depend on the electric charge, the mass, and the radial coordinate. Finally, the behavior of the energies near the origin, near infinity, as well as in the case of a vanishing electric charge is examined.

中文翻译：

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渐近Reissner–Nordström非奇异黑洞解的爱因斯坦和莫勒能量

研究了渐近地表现为Reissner–Nordström解的四维带电，静态，球对称，非奇异黑洞解的能量动量局部化。时空几何特征是通过输入质量函数m（r）的特定分布函数来区分的。广义相对论与非线性电动力学的结合保证了度量的非奇异特性，由此产生的电场到处都是非奇异的，并且渐近趋向于麦克斯韦场。能量和动量分布是通过应用爱因斯坦和莫勒能量动量复合体来计算的。发现所有力矩消失了，而能量取决于电荷，质量和径向坐标。最后，检查能量在原点附近，无穷远处以及在电荷消失的情况下的行为。