Quintessence and phantom emerging from the split-complex field and the split-quaternion field
Quintessence and phantom emerging from the split-complex field and the split-quaternion field
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分裂复数场和分裂四元数场中出现的精髓和幻象
DOI：
10.1007/s10714-015-2006-1
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发表时间：
2015-01
期刊：
影响因子：
--
通讯作者：
You-Gen Shen
中科院分区：
文献类型：
--
作者：
Changjun Gao;Xuelei Chen;You-Gen Shen
Motivated by the mathematic theory of split-complex numbers (or hyperbolic numbers, also perplex numbers) and the split-quaternion numbers (or coquaternion numbers), we define the notion of split-complex scalar field and the split-quaternion scalar field. Then we explore the cosmic evolution of these scalar fields in the background of spatially flat Friedmann–Robertson–Walker Universe. We find that both the quintessence field and the phantom field could naturally emerge in these scalar fields. Introducing the metric of field space, these theories fall into a subclass of the multi-field theories which have been extensively studied in inflationary cosmology.
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