论文标题
一阶的$ D $膜范式的大戒指
Black Rings in Large $D$ Membrane Paradigm at the First Order
论文作者
论文摘要
黑色环是$ D $ d $ d \ geq 5 $时发现的黑色对象。这些具有事件范围拓扑$ s^{d-3} \ times s^1 $。在这项工作中，研究了在爱因斯坦 - 马克斯韦尔理论中固定的固定黑色环的大型$ d $膜范式的解决方案。结果表明，一阶膜方程只能接受静态渐近平坦的黑色环，并且获得了渐近的渐近速度，以大量$ d $的渐近广告黑色环。研究了渐近平面黑环溶液的热力学和动态稳定性。其中一些结果的明显缺点被认为可以在大型$ d $膜范式框架内治愈。
Black rings are the black objects found in $D$ spacetime dimensional gravity when $D \geq 5$. These have event horizon topology $S^{D-3}\times S^1$. In this work the solutions of the large $D$ membrane paradigm dual to stationary black rings in Einstein-Maxwell theory with or without cosmological constant are studied. It is shown that the first order membrane equations can only admit static asymptotically flat black rings, and the equilibrium angular velocity for the asymptotically AdS black rings at large $D$ was obtained. The thermodynamic and dynamic stability of the asymptotically flat black ring solutions is studied. The apparent shortcomings of some of these results are argued to be curable within the large $D$ membrane paradigm framework.
