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arXiv 1804.00535gr-qcastro-ph.COhep-phhep-th
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$U(1)$规范不变标量-矢量-张量理论中多毛黑洞的奇宇称稳定性

Odd-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories

Lavinia Heisenberg, Ryotaro Kase, Shinji Tsujikawa

摘要:

在具有$U(1)$规范不变性的标量-矢量-张量理论中,最近的研究表明,存在一种新的由n阶标量-矢量相互作用诱导的多毛黑洞(BH)解.在本文中,我们推导出的幽灵和拉普拉斯不稳定性的情况下,对奇宇称扰动的静态和球对称背景下的最一般的$U(1)$规范不变标量矢量张量理论与二阶运动方程。我们应用这些条件所产生的毛茸茸的BH解决方案的三阶耦合,并表明,奇宇称稳定的重力部门总是确保以外的事件视界的重力速度相当于光。我们还研究了四阶相互作用的情况下,除了立方耦合,并获得条件下,黑洞是稳定的奇宇称扰动。

英文摘要:

In scalar-vector-tensor theories with $U(1)$ gauge invariance, it was recently shown that there exists a new type of hairy black hole (BH) solutions induced by a cubic-order scalar-vector interaction. In this paper, we derive conditions for the absence of ghosts and Laplacian instabilities against odd-parity perturbations on a static and spherically symmetric background for most general $U(1)$ gauge-invariant scalar-vector-tensor theories with second-order equations of motion. We apply those conditions to hairy BH solutions arising from the cubic-order coupling and show that the odd-parity stability in the gravity sector is always ensured outside the event horizon with the speed of gravity equivalent to that of light. We also study the case in which quartic-order interactions are present in addition to the cubic coupling and obtain conditions under which black holes are stable against odd-parity perturbations.

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