通向指数度量的三重路径
Triple path to the exponential metric
摘要：
由标量场诱导的指数Papapetrou度规与观测数据的符合程度不劣于真空Schwarzschild解。在这里，我们分析了这个度量的起源作为一个特殊的时空内的标量和反标量的爱因斯坦方程的标量电荷参数化的解决方案的广泛的类。本文推广了Fisher（1948），Janis，Newman & Winicour（1968），Xanthopoulos & Zannias（1989）所得到的三类静态解，证明了在标量荷等于中心质量的条件下，这三类静态解都约化为相同的指数度规，从而揭示了这种背景标量场的普适性质.
英文摘要：
The exponential Papapetrou metric induced by scalar field conforms to observational data not worse than the vacuum Schwarzschild solution. Here, we analyze the origin of this metric as a peculiar space-time within a wide class of scalar and antiscalar solutions of the Einstein equations parameterized by scalar charge. Generalizing the three families of static solutions obtained by Fisher (1948), Janis, Newman & Winicour (1968), and Xanthopoulos & Zannias (1989), we prove that all three reduce to the same exponential metric provided that scalar charge is equal to central mass, thereby suggesting the universal character of such background scalar field.
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