关于满足弱能量条件的非奇异黑洞解的能量
On the energy of a non-singular black hole solution satisfying the weak energy condition
摘要：
研究了一个新的四维球对称带电黑洞解的能量-动量局部化，该黑洞解通过广义相对论与非线性电动力学的耦合而处处非奇异，且满足弱能量条件.为了计算上述解的能量分布和动量，我们采用了Einstein和M o ller能量动量复合体.结果表明，能量分布明显依赖于黑洞的质量和电荷，依赖于时空几何中的两个参数，以及依赖于径向坐标。此外，还对两种能量-动量复合体的结果进行了比较，指出了某些极限和特殊情况。
英文摘要：
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 M\{o} ller 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.
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