arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0908.3918hep-thgr-qc
收藏

多维膨胀Einstein-Gauss-Bonnet理论中的黑洞IV -有和无宇宙项的拓扑黑洞

Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions IV - Topological Black Holes with and without Cosmological Term

Nobuyoshi Ohta, Takashi Torii

摘要:

我们研究了在不同维中具有Gauss-Bonnet项、介子和正的宇宙学常数的Einstein引力下的黑洞解。具有正宇宙学项的物理意义的黑洞,只有在静态时空中具有负曲率的$(D-2)$维双曲空间和$D>4$。我们在$D=5,6$和10维时空中数值构造了不同质量的黑洞解,并讨论了它们的性质。尽管有正的宇宙学常数,时空渐近地接近反德西特时空。黑洞解存在于视界半径的一定范围内,即,黑洞的大小有上下限。我们还认为,在没有宇宙学常数的情况下,双曲空间不存在黑洞解是相当合理的。

英文摘要:

We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive "cosmological constant" in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only for those in static spacetime with $(D-2)$-dimensional hyperbolic space of negative curvature and $D>4$. We construct such black hole solutions of various masses numerically in $D=5,6$ and 10 dimensional spacetime and discuss their properties. In spite of the positive cosmological constant the spacetime approach anti-de Sitter spacetime asymptotically. The black hole solutions exist for a certain range of the horizon radius, i.e., there are lower and upper bounds for the size of black holes. We also argue that it is quite plausible that there is no black hole solution for hyperbolic space in the case of no cosmological constant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑