负质量方案与广义相对论中的史瓦西时空
Negative mass scenario and Schwarzschild spacetime in general relativity
摘要:
本文根据\cite{Villata,Chardin}的思想讨论了史瓦西时空中存在负质量的假设。我们证明,在史瓦西度规解中坐标和质量反演的离散$PT$变换等价于在解的时空的整个区域中Kruskal-Szekeres坐标的反演,即\cite{Kruskal}。作为结果的后果,它认为,整个史瓦西时空可以描述的区域的正负质量的离散变换相互连接。
英文摘要:
In this note we discuss the hypothesis of a presence of the negative mass in the Schwarzschild's spacetime following to ideas of \cite{Villata,Chardin}. We demonstrate, that the discrete $PT$ transformation of the coordinates and mass inversion in the Schwarzschild's metric solution is equivalent to the inversion of the Kruskal-Szekeres coordinates, \cite{Kruskal}, in the full region of the solution's spacetime. As the consequence of the result, it is argued that the whole Schwarzschild spacetime can be described in terms of regions of positive and negative masses interconnected by the discrete transforms.
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