论文标题

常规的多霍尼黑洞一般相对论

Regular multihorizon black holes in General Relativity

论文作者

Rodrigues, Manuel E., Silva, Marcos V. de S., de Siqueira, Andrew S.

论文摘要

在这项工作中,提出了针对具有多摩尼子的常规黑洞的新解决方案。这些是由已经在文献中发表的溶液的直接乘积形成的,这些溶液通过将重力与非线性电动力学耦合来描述。我们分析了时空,电场和每个溶液的能量条件的规律性。在所有解决方案中,在事件范围内始终违反强能量条件,而其他能量条件取决于孤立溶液的极端电荷之间的比率。对于具有四个视野的解决方案,我们提供了两个例子,例如Bardeen-Culetu和Balart-Culetu。两种解决方案都是规则的,但是第一个解决方案不满足除强度以外的所有能量条件,因为它的极端电荷比为1.57581,价值很高。另一方面,第二个解决方案可以满足除SEC以外的所有其他能源条件,并且极端电荷比为1.09915,该值允许此功能。它还提出了一种常规溶液,最多六层balart-culetu-dymnikova,对于给定的电荷值,我们可以验证它满足所有能量条件,除了强的能量条件。由于极端电荷之间的比率既不太高也不太近,因此这是可能的。我们建议使用任何数量的视野。我们显示的点$ -f(r)$具有非零最小值代表Lagrangian $ -L(f)$中的尖端。我们还展示了带有磁电荷的多摩尼斯溶液的示例。多发展溶液可能表现出异国情调的特性,例如负能量密度或违反能量条件,但可以通过选定的定制溶液和极端电荷值选择来规避这些特性,从而产生正常的黑洞解决方案,从而满足所有能量条件,从而减少了强度。

In this work, new solutions for regular black holes that have multihorizons are proposed. These are formed by the direct product of solutions already published in the literature, which are described through the coupling of gravity with nonlinear electrodynamics. We analyze the regularity of the spacetime, the electric field, and the energy conditions of each solution. The strong energy condition is always violated within the event horizon in all solutions, while other energy conditions depend on the ratio between extreme charges of isolated solutions. For solutions with four horizons, we present two examples, Bardeen-Culetu and Balart-Culetu. Both solutions are regular, but the first do not satisfy all the energy conditions, except the strong, because it has an extreme charge ratio of 1.57581, great value. The second solution, on the other hand, can satisfy all other energy conditions, except the SEC, and has an extreme charge ratio of 1.09915, a value that allows this feature. It's also proposed a regular solution with up to six horizons, Balart-Culetu-Dymnikova, where, for a given charge value, we can verify that it satisfies all energy conditions, except the strong one. This was possible due to the ratio between extreme charges that are neither too high nor too close. We propose solutions with any number of horizons. We show that points where $-F(r)$ has a non null minimum represent a cusp in the Lagrangian $-L(F)$. We also show an example of multihorizon solution with magnetic charge. Multihorizon solutions may exhibit exotic properties, such as negative energy density, or violation of energy conditions, but which can be circumvented with a selected choice of customized solutions and extreme charge values, resulting in regular black hole solutions that satisfy all energy conditions, less the strong.

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