用近似对称方法计算Barclay模型的能量
Energy of Bardeen Model Using Approximate Symmetry Method
摘要:
本文利用微分方程的近似李对称方法研究了广义相对论中的能量问题。这一过程被应用于正则黑洞解的Barnesian模型。在这里,我们被迫评估的轨道和测地线方程的三阶近似对称性。结果表明,在三阶近似下,能量必须按某个因子重新标度。我们讨论的见解,这个重新缩放因子。
英文摘要:
In this paper, we investigate the energy problem in general relativity using approximate Lie symmetry methods for differential equations. This procedure is applied to Bardeen model (the regular black hole solution). Here we are forced to evaluate the third-order approximate symmetries of the orbital and geodesic equations. It is shown that energy must be re-scaled by some factor in the third-order approximation. We discuss the insights of this re-scaling factor.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。