论文标题
BTZ黑洞的热力学几何形状和相互作用的微观结构
Thermodynamic geometry and interacting microstructures of BTZ black holes
论文作者
论文摘要
在这项工作中，我们提出了一项研究，以探测黑洞微结构之间的相互作用的性质，以示为BTZ黑洞。即使BTZ黑洞没有任何角动量或电荷在热力学上作为理想气体的行为，即具有非相互作用的微观结构；在存在电荷或角动量的情况下，BTZ黑洞与微结构之间的排斥相互作用有关。我们将研究扩展到具有质量$ m =αm +γ\ frac {j} {l} $和角动量$ j =αj +γlm $的异国btz黑洞的情况，任意值（α，γ）$范围从纯粹的exotic $（α= 0，α= 0，γ= 1）$（α= 1）$（α）$（α）$（α）$（α）$（α）$（α）$（α）$（α）$（γ= 1）$（α） \ frac {1} {2}，γ<\ frac {1} {2}）$和高度外来的$（α<\ frac {1} {2} {2}，γ> \ frac {1} {1} {2} {2}）$。我们发现，与正常的BTZ黑洞（情况$α= 1，γ= 0 $）不同，在所有异国情调的BTZ黑洞的情况下，都存在吸引力和排斥区域。
In this work, we present a study to probe the nature of interactions between black hole microstructures for the case of the BTZ black holes. Even though BTZ black holes without any angular momentum or electric charge thermodynamically behave as an ideal gas, i.e. with non-interacting microstructures; in the presence of electric charge or angular momentum, BTZ black holes are associated with repulsive interactions among the microstructures. We extend the study to the case of exotic BTZ black holes with mass $M = αm + γ\frac{j}{l}$ and angular momentum $J=αj + γl m$, for arbitrary values of $ (α, γ)$ ranging from purely exotic $(α=0,γ=1)$, slightly exotic $(α> \frac{1}{2},γ< \frac{1}{2})$ and highly exotic $(α< \frac{1}{2}, γ> \frac{1}{2})$. We find that unlike the normal BTZ black holes (the case $α=1,γ=0$), there exist both attraction as well as repulsion dominated regions in all the cases of exotic BTZ black holes.
