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arXiv 0708.4141gr-qc
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与Born-Infeld非线性电动力学耦合的四维标量张量黑洞的位相

Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics

Ivan Zh. Stefanov, Stoytcho S. Yazadjiev, Michail D. Todorov

摘要:

最近的结果表明,当考虑非线性电动力学时,可以规避引力标张量理论(STT)中适用于麦克斯韦电动力学中中性黑洞和带电黑洞情况的无标毛定理。更重要的是,在目前的工作中,我们发现新的非唯一的,数值解描述带电黑洞耦合到非线性电动力学在一类特殊的标量张量理论。其中一个相具有平凡标量场,并与广义相对论中的相应解相一致。我们发现的其他四个相位的特征在于标量场电荷的值。还研究了解的因果结构和稳定性的某些方面。对于所考虑的标量-张量理论,黑洞有一个单一的非简并视界,即,它们的因果结构类似于史瓦西黑洞。对溶液稳定性的热力学分析表明,可能发生相变。

英文摘要:

Recent results show that when non-linear electrodynamics is considered the no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which are valid for the cases of neutral black holes and charged black holes in the Maxwell electrodynamics, can be circumvented. What is even more, in the present work, we find new non-unique, numerical solutions describing charged black holes coupled to non-linear electrodynamics in a special class of scalar-tensor theories. One of the phases has a trivial scalar field and coincides with the corresponding solution in General Relativity. The other four phases that we find are characterized by the value of the scalar field charge. The causal structure and some aspects of the stability of the solutions have also been studied. For the scalar-tensor theories considered, the black holes have a single, non-degenerate horizon, i.e., their causal structure resembles that of the Schwarzschild black hole. The thermodynamic analysis of the stability of the solutions indicates that a phase transition may occur.

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