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arXiv 1503.02441gr-qc
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Einstein-Born-Infeld黑洞中的能量分解

Energy decomposition within Einstein-Born-Infeld black holes

Jonas P. Pereira, Jorge A. Rueda

备注：
9 pages, 5 figures, accepted for publication in Phys. Rev. D
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摘要：

我们分析了最近发现的推广的Christodoulou-Ruffini黑洞质量分解的Einstein-Born-Infeld黑洞[其特征参数为$(Q,M,b)$，其中$M = M(M_{irr},Q,b)$，$b$标度场，$Q$电荷，$M_{irr}$“不可约质量”，物理意义的能量的黑洞当其电荷为零]和它们的相互作用的后果。在这种情况下，我们表明，他们的描述是大大简化，基本上可以分为两个家庭取决于参数$b|Q|$。如果是$b|Q|\leq 1/2$，那么黑洞甚至可以具有零不可约质量，并且它们总是呈现单一的、非简并的视界。如果是$b|Q|>1/2$，那么一个关联的黑洞必须有一个最小的不可约质量（与它的最小能量有关），并且有两个视界，直到一个过渡的不可约质量。对于较大的不可约质量，单视界结构再次上升。通过假设黑洞发射热不带电标量粒子，我们进一步表明，根据黑洞质量分解，一个满足$b|Q|>1/2$需要无限长的时间才能达到零温度，正好稳定在其最小能量。最后，我们认为，依赖于基本参数$b$，来自Einstein-Born-Infeld黑洞的辐射（电磁和引力）可以显着不同的Einstein-Maxwell的。因此，它可用于评估这一参数。

英文摘要：

We analyze the consequences of the recently found generalization of the Christodoulou-Ruffini black hole mass decomposition for Einstein-Born-Infeld black holes [characterized by the parameters $(Q,M,b)$, where $M = M(M_{irr},Q,b)$, $b$ scale field, $Q$ charge, $M_{irr}$ "irreducible mass", physically meaning the energy of a black hole when its charge is null] and their interactions. We show in this context that their description is largely simplified and can basically be split into two families depending upon the parameter $b|Q|$. If $b|Q|\leq 1/2$, then black holes could have even zero irreducible masses and they always exhibit single, non degenerated, horizons. If $b|Q|>1/2$, then an associated black hole must have a minimum irreducible mass (related to its minimum energy) and has two horizons up to a transitional irreducible mass. For larger irreducible masses, single horizon structures raise again. By assuming that black holes emit thermal uncharged scalar particles, we further show in light of the black hole mass decomposition that one satisfying $b|Q|>1/2$ takes an infinite amount of time to reach the zero temperature, settling down exactly at its minimum energy. Finally, we argue that depending on the fundamental parameter $b$, the radiation (electromagnetic and gravitational) coming from Einstein-Born-Infeld black holes could differ significantly from Einstein-Maxwell ones. Hence, it could be used to assess such a parameter.

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