AI 中文总结
本文研究洛伦兹破缺Kalb–Ramond背景引力下的带电黑洞，纳入双非最小曲率耦合得到新解，用Iyer–Wald形式分析其热力学、焦耳-汤姆逊膨胀及类范德瓦尔斯相变，明确了相关特征。
AI 中文摘要
我们研究了在由Kalb–Ramond背景场诱导的自发洛伦兹对称性破缺的引力理论中，严格的静态球对称带电黑洞解。与此前仅保留一个非最小曲率耦合的分析不同，我们纳入了两个独立非最小曲率耦合的共同效应，得到了带与不带宇宙学常数的带电黑洞解。利用Iyer–Wald协变相空间形式，我们推导了修正后的热力学量并分析了焦耳-汤姆逊膨胀，包括反转曲线与冷却/加热区域。我们进一步将拓扑方法应用于黑洞热力学，以表征类范德瓦尔斯相变，并展示热力学临界温度与压强如何编码在对应的拓扑缺陷曲线中。这些结果阐明了具有洛伦兹破缺Kalb–Ramond背景的引力中带电黑洞的热力学与拓扑特征。
英文摘要
We investigate exact static, spherically symmetric electrically charged black hole solutions in a gravitational theory with spontaneous Lorentz-symmetry breaking induced by a background Kalb--Ramond field. In contrast to previous analyses that retained only one nonminimal curvature coupling, we include the combined effects of the two independent nonminimal curvature couplings and obtain charged black hole solutions both with and without a cosmological constant. Using the Iyer--Wald covariant phase-space formalism, we derive the corrected thermodynamic quantities and analyze the Joule--Thomson expansion, including the inversion curve and the cooling/heating regions. We further apply the topological approach to black hole thermodynamics to characterize the van der Waals-like phase transition and show how the thermodynamic critical temperature and pressure are encoded in the corresponding topological defect curve. These results clarify the thermodynamic and topological signatures of electrically charged black holes in gravity with a Lorentz-violating Kalb--Ramond background.
Comments27 pages
