标量-矢量-张量理论中耦合Born-Infeld电动力学的带电正则AdS$_3$黑洞
Charged regular AdS$_3$ black holes in a scalar-vector-tensor theory coupled to Born-Infeld electrodynamics
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中文总结 AI 辅助
在三维标量-矢量-张量理论中，通过耦合Born-Infeld电动力学构造了带电正则AdS$_3$黑洞解，消除了Maxwell情形下的原点奇点，并展示了多种视界结构及微观熵计算意义。
中文摘要 AI 辅助
我们在由正则化Gauss-Bonnet耦合得到的三维标量-矢量-张量理论中，构造了精确、静态、圆对称的带电正则AdS$_3$黑洞解。虽然该理论的Maxwell带电对应物在原点存在对数曲率奇点，但我们证明将作用量耦合到非线性Born-Infeld电动力学可治愈这一病理。我们获得了度规函数，并明确展示了核心的正则性。根据参数选择，该解表现出多种视界结构，包括单视界、双视界、极端黑洞以及无视界的正则几何。最后，我们讨论了该正则时空作为无奇点设置中微观熵计算测试平台的意义。
英文摘要
We construct exact, static, circularly symmetric charged regular AdS$_3$ black hole solutions in a three-dimensional scalar-vector-tensor theory obtained from regularized Gauss-Bonnet couplings. While the Maxwell-charged counterpart of this theory suffers from a logarithmic curvature singularity at the origin, we demonstrate that coupling the action to non-linear Born-Infeld electrodynamics cures this pathology. We obtain the metric function and show explicitly the regularity of the core. Depending on the choice of parameters, the solution exhibits various horizon structures, including single-horizon, double-horizon, extremal black holes, and horizonless regular geometries. Finally, we discuss the significance of this regular spacetime as a testbed for microscopic entropy calculations in singularity-free setups.
发表机构
- Atılım University（阿提利姆大学）
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