We classify all pseudo-supersymmetric near horizon geometries of extremal black holes in five dimensional de-Sitter supergravity coupled to vector multiplets. We find that there are three types of solution. The first type corresponds to the near-horizon geometry of extremal de Sitter BMPV black holes, and the spatial cross-section of the horizon is topologically S^3. The other two solutions cannot be embedded into the minimal de-Sitter supergravity theory, and correspond to near-horizon geometries for which the spatial cross-sections of the horizon are T^3 or S^1 * S^2.
In this paper we continue our analysis of arXiv:1308.1478[hep-th] and study in detail the parameter space of three families of doubly spinning black ring solutions: balanced black ring, unbalanced ring and dipole-charged balanced black rings. In all these three families the Extremal Vanishing Horizon (EVH) ring appears in the vanishing limit of the dimensionful parameter of the solution which measures the ring size. We study the near horizon limit of the EVH black rings and for all three cases we find a (pinching orbifold) AdS$_3$ throat with the AdS$_3$ radius $\ell^2=8 G_5 M/(3π)$ where $M$ …
On Black Ring with a Positive Cosmological Constant
在五维N=4的de Sitter超引力理论中考虑了具有宇宙学常数的黑环。我们的解决方案保留了一半的de Sitter超对称，并有一个旋转对称。与平坦的情况不同，它没有角动量，并且由于宇宙学常数的存在，其对引力自吸引的稳定性被宇宙学排斥所平衡。我们的解描述了一个奇异黑环，因为尽管它有拓扑S^1 x S^2的视界，但视界是奇异的。尽管存在奇异性，我们的解仍显示出一些有趣的规则物理性质：它携带偶极电荷，该电荷有助于热力学热力学第一定律;它具有符合熵N-束缚提议和最大质量猜想的熵和质量我们推测格雷戈里-拉夫拉姆不稳定性导致奇异性的解决并导致规则的黑环。
The Phase Structure of Higher-Dimensional Black Rings and Black Holes
我们构造了一个渐近平坦的，中性的，薄的旋转黑环在任何维度D>=5的近似解，通过匹配的近地平线的解决方案，一个弯曲的助推黑弦，远离地平线的线性化的重力解决方案。旋转黑环解具有拓扑结构为S ^1 x S^{D-3}的正则视界，并将环的平衡条件作为零张力条件。对于D=5，我们的方法重现了薄环极限的确切的黑环解决方案。当D>=6时，我们证明了在超自旋状态下，黑环比Myers-Perry黑洞有更高的熵.通过利用超自旋黑洞和两个环面上的黑膜之间的对应关系，我们采取步骤，定性地完成具有单一角动量的旋转黑洞的相图。我们提出了一个MP黑洞和黑环之间的连接，MP黑洞和黑色土星之间，通过合并过渡涉及两种“捏”黑洞。更一般地说，这个类比暗示了无限多个球形拓扑的收缩黑洞，导致了相之间复杂的连接和合并模式。
We use the recently-constructed explicit duality transformation that relates a rotating anti-D6-D4-D2-D0 black hole solution to a rotating M5-M2-P black string to construct a non-supersymmetric black ring in Taub-NUT that has two angular momenta, as well as M2 charges and M5 dipole moments. This is the first black ring solution that has both dipole charges and rotation along the S^2 of the horizon, and hence can be thought of as the "Pomeransky-Senkov" version of the M5-M2 black ring in Taub-NUT. Its physics should provide a testing ground for the applicability of the blackfold approach to cha…
It was shown in arXiv:2006.16163 that the effective stationary membrane equations from the large $D$ membrane paradigm at the first order admit black ring solutions in flat and AdS cases, but the de Sitter solution obtained in arXiv:0806.1954 lies outside the domain of their applicability. In this short note the static de Sitter black ring is obtained from the second order membrane paradigm, and it satisfies the equilibrium condition for the thin ring solution of arXiv:0806.1954. This provides a segue into the stationary black rings at the second order.
我们给出了对应于具有视界拓扑S^1 x S^2和在S^2的方位角方向上旋转的黑环的真空爱因斯坦方程的五维解。这个解有一个规则的视界，直到一个圆锥奇点，它可以被放置在环内或无穷远处。这个奇点的出现是由于这个黑环不平衡的事实。在无限半径极限下，我们正确地再现了克尔黑弦，而在另一个极限下，我们恢复了具有单个角动量的迈尔斯-佩里黑洞。
We investigate the Gregory-Laflamme instability for black strings carrying KK-momentum along the internal direction. We demonstrate a simple kinematical relation between the thresholds of the classical instability for the boosted and static black strings. We also find that Sorkin's critical dimension depends on the internal velocity and in fact disappears for sufficiently large boosts. Our analysis implies the existence of an analogous instability for the five-dimensional black ring of Emparan and Reall. We also use our results for boosted black strings to construct a simple model of the black…
We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black holes. The effective equations describe the charged black ring, the charged slowly rotating Myers-Perry black hole and the charged slowly boosted black string as stationary solutions. By embedding the solution of the effective equations into the flat spacetime background in the ring coordinate we obtain the charged black ring solution at large D analyticall…
An example of entropy enigma with a controlled CFT dual was recently studied in arXiv:1108.0411. The enigmatic bulk configurations, considered within the STU model, can be mapped under spectral flow into black rings with three monopole and dipole charges. Even though the bulk and CFT configurations existed in the same region of parameter space, the Bekenstein-Hawking entropy of the bulk configurations was found to be lower than the microscopic entropy from the CFT. While it is possible that the difference in entropy is due to the bulk and boundary configurations being at different points in th…
We construct new exact solutions to 5D Einstein-Maxwell equations describing sequences of Kaluza-Klein bubbles and dipole black rings. The solutions are generated by 2-soliton transformations from vacuum black ring - bubble sequences. The properties of the solutions are investigated. We also derive the Smarr-like relations and the mass and tension first laws in the general case for such configurations of Kaluza-Klein bubbles and dipole black rings. The novel moment is the appearance of the magnetic flux in the Smarr-like relations and the first laws.
We use the conservation of the renormalized boundary stress-energy tensor to obtain the equilibrium condition for a general (thin or fat) black ring solution. We also investigate the role of the spatial stress in the thermodynamics of deformation within the quasilocal formalism of Brown and York and discuss the relation with other methods. In particular, we discuss the quantum statistical relation for the unbalanced black ring solution.
We construct a new exact solution to the 5D Einstein equations describing rotating black ring with a single angular momentum surrounded by two Kaluza-Klein bubbles. The solution is generated by 2-soliton Bäcklund transformation. Its physical properties are computed and analyzed. The corresponding static solution, the rotating black string and the boosted black string are reproduced as limits.
通过给在S^1 x K3上紧化的D1-D5系统赋予角动量而得到的5D中的"小“黑环是一个非常有趣的物体，因为它在超引力极限中没有事件视界，而在微观上它有有限的熵。这个小黑环的微观起源可以详细分析，因为它是通过向研究良好的D1-D5系统添加角动量而构建的。另一方面，它的宏观、几何图像很难直接研究。在本文中，通过对偶变换和4D-5D联系，我们将这个5D小黑环与一个4D非旋转小黑洞联系起来，已知后者由于对超引力作用量的弦R^2修正而形成一个非零视界。这间接地证明了5D小黑环存在非零视界。我们还证明了4D小黑洞的熵与5D小黑环的微观熵一致，这支持了4D-5D连接即使对小的黑色物体也是有效的.
We construct dynamical black ring solutions in the five dimensional Einstein-Maxwell system with a positive cosmological constant and investigate the geometrical structure. The solutions describe the physical process such that a thin black ring at early time shrinks and changes into a single black hole as time increase. We also discuss the multi-black rings and the coalescence of them.
We construct black ring solutions in five-dimensional $U(1)^3$ supergravity which carry three dipole charges, three electric charges and one angular momentum parameter. These solutions are written in a form that is sufficiently compact that their global and thermodynamic properties can be studied explicitly. In particular, we find that the Smarr formula is obeyed regardless of whether or not conical singularities are present, whereas the first law of thermodynamics holds only in the absence of conical singularities. We also present black ring solutions with three background magnetic fields.
We study the near horizon geometry of black ring solutions in five-dimensional U(1)^3 supergravity with three electric dipole charges and one angular momentum. We consider the extremal vanishing horizon (EVH) limit of these solutions and show that the near horizon geometries develop locally AdS_3 throats which at the near-EVH near horizon limit the AdS_3 factor turns to a BTZ black hole. By analysing the first law of thermodynamics for black rings we show that at EVH limit it reduces to the first law of thermodynamics for BTZ black holes. Using the AdS3/CFT2 duality, we propose a dual CFT to d…
In this work, we study the non-equilibrium dynamics of Φ-spinning black rings within the quasilocal formalism. We adopt the counterterm method and compute the renormalized boundary stress-energy tensor. By considering the conservation of this tensor, the condition for removing the conical singularity at spatial infinity is derived. It is subsequently shown that a Φ-spinning black ring cannot be kept in a state of equilibrium, which is consistent with the physical interpretation that the angular momentum is on the plane orthogonal to the ring and there is no force to balance the tension and gra…
It has been proven in arXiv:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions associated with the existence of the additional supersymmetry are analysed, and the near-horizon geometries are determined explicitly. We show that they all correspond to previously constructed examples. Hence, there are no supersymmetric black ring solutions in minimal five-dimensional gauged supergravity.
Previously the five dimensional $S^1$-rotating black rings have been superposed in a concentric way by some solitonic methods, and regular systems of two $S^1$-rotating black rings were constructed by the authors and then Evslin and Krishnan (we called these solutions "black di-rings"). In this place we show some characteristics of the solutions of five dimensional black di-rings, especially in thermodynamic equilibrium. After the summary of the di-ring expressions and their physical quantities, first we comment on the equivalence of the two different solution sets of the black di-rings. Then …
We study non-axisymmetric linearised gravitational perturbations of the Emparan-Reall black ring using numerical methods. We find an unstable mode whose onset lies within the "fat" branch of the black ring and continues into the "thin" branch. Together with previous results using Penrose inequalities that fat black rings are unstable, this provides numerical evidence that the entire black ring family is unstable.
