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arXiv 1504.07657gr-qc
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膨胀双子黑洞解

Dilatonic dyon black hole solutions

M. E. Abishev, K. A. Boshkayev, V. D. Dzhunushaliev, V. D. Ivashchuk

摘要:

考虑了具有任意双音耦合常数$λ\neq 0$和标量场动力学项正则符号$\varepsilon = +1$的膨胀黑洞双子解.这些解决方案被定义为解决两个主方程的模函数。对于$λ^2 \neq 1/2$,将解扩展到$\varepsilon = \pm 1$,其中$\varepsilon = -1$对应于幽灵标量场。得到了解的一些物理参数:引力质量、标量荷、Hawking温度、黑洞面积熵和参数化后牛顿(PPN)参数$β$和$γ$.结果表明,PPN参量不依赖于标量场耦合$λ$和$\varepsilon$。利用对解的参数的一个猜想,得到了当$1 +2 λ^2 \varepsilon > 0$满足时,引力质量和标量荷(对于固定和任意极值参数$μ>0$)的两组界。这些界限进行了验证数值某些例子。由产品,我们导致众所周知的质量下限,这是得到较早的吉本斯,卡斯特,伦敦,汤森和Traschen通过使用旋量技术。

英文摘要:

Dilatonic black hole dyon solutions with arbitrary dilatonic coupling constant $λ\neq 0$ and canonical sign $\varepsilon = +1$ for scalar field kynetic term are considered. These solutions are defined up to solutions of two master equations for moduli funtions. For $λ^2 \neq 1/2$ the solutions are extended to $\varepsilon = \pm 1$, where $\varepsilon = -1$ corresponds to ghost (phantom) scalar field. Some physical parameters of the solutions: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters $β$ and $γ$ are obtained. It is shown that PPN parameters do not depend on scalar field coupling $λ$ and $\varepsilon$. Two group of bounds on gravitational mass and scalar charge (for fixed and arbitrary extremality parameter $μ>0$) are found by using a certain conjecture on parameters of solutions when $1 +2 λ^2 \varepsilon > 0$. These bounds are verified numerically for certain examples. By product we are led to well-known lower bound on mass which was obtained earlier by Gibbons, Kastor, London, Townsend and Traschen by using spinor techniques.

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