标题： 通过Barrow熵分析带有字符串云和拟质能的黑洞的热力学特性 显示英文标题

标题： Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy

摘要： 我们研究了带有弦和拟正物质云的Reissner-Nordström反德西特（RN-AdS）黑洞，以研究在Barrow熵存在时的热力学及其拓扑结构。Barrow熵目前被广泛使用，因为黑洞视界可能不像经典广义相对论描述的那样是光滑表面，而是可能具有更复杂的分形结构。 在这里，我们研究了Barrow熵的分形校正参数对这类黑洞热力学的影响。 通过采用球对称时空的广义公式（该公式直接由爱因斯坦场方程推导而来），我们计算了带有弦和拟正物质云的RN-AdS黑洞的黑洞热力学第一定律和Smarr关系式。 从热力学拓扑的角度也验证了Barrow熵的重要性。 我们还发现，非零的拓扑荷表明存在临界点。 显示英文摘要

摘要： We explore a Reissner-Nordstr\"{o}m Anti-de Sitter (RN-AdS) black hole with a cloud of string and quintessence to study thermodynamics and thermodynamic topology in the presence of Barrow entropy, which is currently being used widely as the horizon of a black hole may not be a smooth surface as described in classical general relativity but instead could have a more intricate fractal-like structure. Here, we study the impact of the fractal correction parameter of Barrow entropy on the thermodynamics of such BHs. We compute the first law of black hole thermodynamics and the Smarr relation for RN-AdS black hole with a cloud of string and quintessence in terms of Barrow entropy by employing the generalized formula for spherically symmetric spacetime which is directly derived from the Einstein field equation. The significance of Barrow entropy has been verified from thermodynamic topology as well. We also found that the non-zero topological charge indicates the presence of the critical point.