On the inexistence of solitons in Einstein–Maxwell-scalar models
On the inexistence of solitons in Einstein–Maxwell-scalar models
复制标题
关于爱因斯坦-麦克斯韦标量模型中孤子的不存在
DOI：
10.1088/1361-6382/ab1859
复制
发表时间：
2019
影响因子：
3.5
通讯作者：
J. Oliveira
中科院分区：
文献类型：
--
作者：
C. Herdeiro;J. Oliveira
在Einstein-麦克斯韦-标量模型中，标量场与麦克斯韦场通过标量函数非最小耦合，得到了自引力孤子不存在的三个结果.首先，考虑一个平凡的麦克斯韦场，它产生一个完整的模型的一致截断。在这种情况下，使用标度（德里克型）参数，它是建立没有静态和轴对称的自引力标量孤子存在，除非标量势能是负的时空中的某个地方。这概括了以前的静态和严格平稳的情况下的结果。因此，旋转本身不能支持自引力标量孤子在这类模型。其次，考虑了常号耦合。推广了Heusler以前关于电真空的论点，我们确定不存在静态的自引力电磁标量孤子。因此，一个变化的（但常数符号）电容率单独不能支持静态爱因斯坦-麦克斯韦标量孤子。最后，第二个结果是广义的严格平稳的，但不一定是静态的，时空，使用Lichnerowicz型参数，概括以前的结果在模型中的标量和麦克斯韦场不直接耦合。这些结果的有效性范围指出了绕过它们的可能途径，以获得爱因斯坦-麦克斯韦标量模型中的自引力孤子。
Three non-existence results are established for self-gravitating solitons in Einstein–Maxwell-scalar models, wherein the scalar field is, generically, non-minimally coupled to the Maxwell field via a scalar function . Firstly, a trivial Maxwell field is considered, which yields a consistent truncation of the full model. In this case, using a scaling (Derrick-type) argument, it is established that no stationary and axisymmetric self-gravitating scalar solitons exist, unless the scalar potential energy is somewhere negative in spacetime. This generalises previous results for the static and strictly stationary cases. Thus, rotation alone cannot support self-gravitating scalar solitons in this class of models. Secondly, constant sign couplings are considered. Generalising a previous argument by Heusler for electro-vacuum, it is established that no static self-gravitating electromagnetic-scalar solitons exist. Thus, a varying (but constant sign) electric permittivity alone cannot support static Einstein–Maxwell-scalar solitons. Finally, the second result is generalised for strictly stationary, but not necessarily static, spacetimes, using a Lichnerowicz-type argument, generalising previous results in models where the scalar and Maxwell fields are not directly coupled. The scope of validity of each of these results points out the possible paths to circumvent them, in order to obtain self-gravitating solitons in Einstein–Maxwell-scalar models.
影响因子：
5
作者：
Hector O. Silva;C. F. Macedo;T. Sotiriou;L. Gualtieri;Jeremy Sakstein;E. Berti
通讯作者：
Hector O. Silva;C. F. Macedo;T. Sotiriou;L. Gualtieri;Jeremy Sakstein;E. Berti