修正引力中的Immirzi场:具有标量头发的超熵黑洞
The Immirzi field in modified gravity: superentropic black holes with scalar hair
摘要:
在f(R)推广到Holst作用量的情况下,我们得到了一个描述双曲视界渐近反德西特黑洞的解析解.这些表现出标量头发的第二种,最终取决于Immirzi场的径向行为。特别是,我们展示了如何Immirzi字段修改通常的熵定律与黑洞。我们还验证了Immirzi场在渐近区域归结为一个常数,从而恢复了标准圈量子引力图像。最后证明了逆等周不等式的违反,从而导致了黑洞的超熵性质,并详细讨论了解的热力学稳定性。
英文摘要:
In the context of f(R) generalizations to the Holst action, endowed with a dynamical Immirzi field, we derive an analytic solution describing asymptotically anti-de Sitter black holes with hyperbolic horizon. These exhibit a scalar hair of the second kind which ultimately depends on the Immirzi field radial behaviour. In particular, we show how the Immirzi field modifies the usual entropy law associated to the black hole. We also verify that the Immirzi field boils down to a constant value in the asymptotic region, thus restoring the standard loop quantum gravity picture. We finally prove the violation of the reverse isoperimetric inequality, resulting in the superentropic nature of the black hole, and we discuss in detail the thermodynamic stability of the solution.
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