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arXiv 2408.04848hep-thgr-qcmath-phmath.MP
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Robinson-Trautman解的超对称性

Supersymmetry of the Robinson-Trautman solution

Masato Nozawa

AI总结:

该研究针对四维N=2规范超引力中Maxwell场对齐的情形,对超对称Robinson-Trautman时空进行了详尽分类,通过Killing旋量方程的可积性条件重构度规并推导其显式形式,发现这类解通常存在裸奇点。

摘要:

Einstein-Maxwell-Λ系统中的Robinson-Trautman解具有无剪切、无扭转且膨胀非零的类光测地线汇。我们将研究限定在Maxwell场对齐(即时空为代数特殊)的情形,对四维N=2规范超引力中的超对称Robinson-Trautman时空进行了详尽分类。Killing旋量方程可积性条件导出的微分约束使我们能够系统地重构度规。我们通过直接积分Killing旋量方程,或将解转化为hep-th/0307022中给出的超对称解标准形式,推导出Killing旋量的显式形式。无论采用哪种方式,超对称Robinson-Trautman解通常都表现出裸奇点。

英文摘要:

The Robinson-Trautman solution in the Einstein-Maxwell-$Λ$ system admits a shear-free and twist-free null geodesic congruence with a nonvanishing expansion. Restricting to the case where the Maxwell field is aligned, i.e., the spacetime is algebraically special, we provide an exhaustive classification of supersymmetric Robinson-Trautman spacetimes in the four-dimensional ${\cal N}=2$ gauged supergravity. The differential constraints that arise from the integrability conditions of the Killing spinor equation enable us to systematically reconstruct the metric. We derive the explicit form of the Killing spinor either by directly integrating the Killing spinor equation or by casting the solution into the canonical form of supersymmetric solutions given in hep-th/0307022. In any case, the supersymmetric Robinson-Trautman solution generically exhibits a naked singularity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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