Modeling scalar fields consistent with positive mass
Modeling scalar fields consistent with positive mass
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DOI：
10.1103/physrevd.89.023011
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发表时间：
2013-10
影响因子：
5
通讯作者：
Masato Nozawa;T. Shiromizu
中科院分区：
文献类型：
--
作者：
Masato Nozawa;T. Shiromizu
本文探讨了修正的引力理论承认正质量的条件。在维滕的旋量论证之后，我们认为在超协变导数中，规范连接应该被施加一个单一的条件。在此条件下，我们给出了一个简单的公式，计算了具有一般源的爱因斯坦引力中Nester张量的发散。将这一规定应用于爱因斯坦标量系统，我们发现，对于某类规范连接，一种特殊的非正则标量场理论除了普通的正则标量场系统外，还允许正性性质。在这两种情况下，标量势都可以用超势来表示。在非正则情形下，我们得到了最一般的Bogomol'nyi-Prasad-Sommerfield解，它至少保持了一半的超对称性。
This paper explores the conditions under which modified gravitational theories admit positive mass. Following Witten's spinor argument, it is argued that a single condition should be imposed upon a gauge connection in the supercovariant derivative. Under this condition, we present a simple formula for the divergence of the Nester tensor in Einstein's gravity with a general source. Applying this prescription to the Einstein-scalar system, we find that for a certain class of the gauge connection, a special kind of noncanonical scalar-field theory admits the positivity property in addition to the ordinary canonical scalar-field system. In both cases, the scalar potential can be written in terms of a superpotential. In the noncanonical case, we obtain the most general Bogomol'nyi-Prasad-Sommerfield solutions which preserve at least half of the supersymmetry.