Charged Black Holes in String Theory with Gauss-Bonnet Correction in Various Dimensions
Charged Black Holes in String Theory with Gauss-Bonnet Correction in Various Dimensions
复制标题
弦理论中的带电黑洞与不同维度的高斯-邦尼特校正
DOI：
10.1103/physrevd.86.104016
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发表时间：
2012
影响因子：
5
通讯作者：
Takashi Torii
中科院分区：
文献类型：
--
作者：
Nobuyoshi Ohta;Takashi Torii
We study charged black hole solutions in Einstein-Gauss-Bonnet theory with the dilaton field which is the low-energy effective theory of the heterotic string. The spacetime is-dimensional and assumed to be static and spherically symmetric with the ()-dimensional constant curvature space and asymptotically flat. The system of the basic equations is complex and the solutions are obtained numerically. We identify the allowed parameter region where the black hole solutions exist, and show configurations of the field functions inand 10. We also show the relations of the physical quantities of the black holes such as the horizon radius, the mass, the temperature, and so on, and find several results. The forms of the allowed parameter regions are different depending on the dimension. There is no extreme black hole solution withthat can be obtained by taking the limit of the nonextreme solutions within the parameter range we chose. Entropy of the black holes in the dilatonic theory is always larger than that in the nondilatonic theory. Our analysis includes the higher order term of the dilaton field which is not in our previous works. Its effect remarkably appears in five dimensions and is given in the Appendix. By our analysis it is found that the properties of the black hole solutions strongly depend on the dimension, charge, existence of the dilaton field. Hence both the detailed analyses of the individual systems and the investigations from the systematic point of view are important.
