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arXiv 1801.05697gr-qc
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具有非线性电动力学的黑洞上的渐近(A)dS

Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics

S. Hajkhalili, A. Sheykhi

摘要:

在线性Maxwell场存在的情况下,在(反)-de Sitter [(A)dS]空间中,通过三个Liouville型玻色子势的适当组合,可以构造带电玻色子黑洞.本文首次在Born-Infeld、对数和指数三种非线性电动力学存在下构造了三类新的非线性(A)dS介子黑洞解.所有这些解都是渐近的(A)dS,并且在线性区域内约化为AdS空间中黑洞上的Einstein-Maxwell-Einstein-Maxwell。我们调查的物理性质和因果结构,以及所获得的解决方案的渐近行为,并表明,根据度量参数的值,奇异性可以覆盖各种视野。有趣的是,我们发现在(A)dS空间背景中,非线性规范场与声子场的耦合导致了电场的奇异行为。我们观察到,电场在奇点处为零,并平滑地增加,直到达到最大值,然后它平滑地减小,直到以$r\rightarrow\infty$的形式变为零。电场的最大值随非线性参数$β$的增大或非线性耦合$α$的减小而增大,并在无非线性场($α=0$)或非线性规范场($β\rightarrow\infty$)的情况下向奇异性方向移动.

英文摘要:

It is well-known that with an appropriate combination of three Liouville-type dilaton potentials, one can construct charged dilaton black holes in an (anti)-de Sitter [(A)dS] spaces in the presence of linear Maxwell field. However, asymptotically (A)dS dilaton black holes coupled to nonlinear gauge field have not been found. In this paper, we construct, for the first time, three new classes of dilaton black hole solutions in the presence of three types of nonlinear electrodynamics, namely Born-Infeld, Logarithmic and Exponential nonlinear electrodynamics. All these solutions are asymptotically (A)dS and in the linear regime reduce to the Einstein-Maxwell-dilaton black holes in AdS spaces. We investigate physical properties and the causal structure, as well as asymptotic behavior of the obtained solutions, and show that depending on the values of the metric parameters, the singularity can be covered by various horizons. Interestingly enough, we find that the coupling of dilaton field and nonlinear gauge field in the background of (A)dS spaces leads to a strange behaviour for the electric field. We observe that the electric field is zero at singularity and increases smoothly until reaches a maximum value, then it decreases smoothly until goes to zero as $r\rightarrow\infty$. The maximum value of the electric field increases with increasing the nonlinear parameter $β$ or decreasing the dilaton coupling $α$ and is shifted to the singularity in the absence of either dilaton field ($α=0$) or nonlinear gauge field ($β\rightarrow\infty$).

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