Sangheon Yun
In this note, we will show that the supergravity theory which is dual to ABJM field theory can be consistently reduced to scalar-coupled AdS-Einstein gravity and then consider the reflection symmetric domain wall and its small fluctuation. This domain wall solution is none other than dimensional reduction of M2-brane configuration.
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We find a new supersymmetric 5D solution of N = 2 supergravity coupled to one hypermultiplet that depends only on the fifth dimension (the energy scale in a holographic context). In one asymptotic limit the domain wall approaches to the AdS_5 form but in the other one does not. Similarly, the hyperscalars, which are all proportional between them, go asymptotically to a critical point of the potential only in one direction. The quaternionic Kahler manifold of the model is the H^4 hyperboloid. We use the standard metric of H^4 in an explicit conformally flat form with several arbitrary parameter…
Thermodynamics of warped AdS$_3$ black hole in the brick wall method
基于brick-wall方法计算了宇宙学拓扑质量引力场中弯曲AdS $_3$黑洞上标量场的统计熵，它不同于Wald熵公式，由于高阶导数修正，给出了修正的面积定律，熵仍然满足面积定律.这意味着在这种背景下标量激发的熵与高阶导数项无关，或者传统的brick wall方法在考虑高阶导数项时存在一定的局限性。
Thick Domain Walls in AdS Black Hole Spacetimes
数值求解了背景为负宇宙学常数的黑洞中实自引力标量场的运动方程。我们得到了一系列代表厚畴壁宇宙黑洞系统的静态轴对称解，这些解依赖于黑洞的质量、宇宙学参数以及黑洞质量与畴壁宽度的结合参数.对于极端宇宙学黑洞，标量场从黑洞中的驱逐强烈地依赖于它。
Magnetic Branes in d-dimensional AdS Einstein-Maxwell Gravity
本文给出了任意时空维数下具有负宇宙学常数的Einstein-Maxwell引力理论的一类磁荷膜解。
We explicitly construct static black hole solutions to the fully non-linear, D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but without isometries, and approach, asymptotically, global AdS spacetime. They are interpreted as bound states of a horizon with the Einstein-Maxwell-AdS solitons recently discovered, for appropriate boundary data. In sharp contrast with the uniqueness results for Minkowski electrovacuum, the existence of these black holes shows that single, equilibrium, BH solut…
We study physical properties of constant curvature black holes (CCBHs) in Einstein anti-de Sitter (AdS) gravity. These objects, which are locally AdS throughout the space, are constructed from identifications of global AdS spacetime, in a similar fashion as Banados-Teitelboim-Zanelli (BTZ) black hole in three dimensions. We find that, in dimensions equal or greater than four, CCBHs have zero mass and angular momentum. Only in odd dimensions we are able to associate a nonvanishing conserved quantity to these solutions, which corresponds to the vacuum (Casimir) energy of the spacetime.
We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together with the metric functions, the corresponding form of the scalar self-interaction potential. Using this method we prove a new no-hair theorem about the existence of hairy black-hole and black-brane solutions and derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT corresp…
The topological classification of critical points of black holes in 4D Einstein-Gauss-Bonnet gravity coupled to Born-Infeld theory is investigated. Considered independently, Born-infeld corrections to the Einstein action alter the topological charge of critical points of the charged AdS black hole system, whereas the Gauss-Bonnet corrections do not. For the combined system though, the total topological charge of the Einstein-Gauss-Bonnet theory is unaltered in the presence of Born-Infeld coupling.
We explore four-dimensional Einstein-Weyl gravity and supergravity on anti-de Sitter spacetime. For a specific range of the coupling with appropriate boundary conditions, we show the effective equivalence of the theory with Einstein gravity and AdS supergravity at the quadratic Lagrangian level. Furthermore we show that these equivalences can be promoted to the full nonlinear level. We also show that the similar behavior holds for the generalized Gibbons-Hawking terms. From this we find that the correlation functions in the dual conformal field theory of Einstein-Weyl gravity and supergravity …
We discuss the relationship between the bulk-boundary correspondence in Rehren's algebraic holography (and in other 'fixed-background' approaches to holography) and in mainstream 'Maldacena AdS/CFT'. Especially, we contrast the understanding of black-hole entropy from the viewpoint of QFT in curved spacetime -- in the framework of 't Hooft's 'brick wall' model -- with the understanding based on Maldacena AdS/CFT. We show that the brick-wall modification of a Klein Gordon field in the Hartle-Hawking-Israel state on 1+2-Schwarzschild AdS (BTZ) has a well-defined boundary limit with the same temp…
We discuss electrostatics in Anti-de-Sitter ($AdS$) spacetime, in global coordinates. We observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with finite energy, for every multipole moment except for the monopole. Second, all multipole moments decay with the same inverse power of the areal radius, $1/r$, as spatial infinity is approached. The first observation suggests there may be regular, self-gravitating, Einstein-Maxwell solitons in $AdS$ spacetime. The second observation, renders a Lichnerowicz-typ…
Einstein-(complex)-Maxwell static boson stars in AdS
该研究在四维负宇宙学常数的爱因斯坦引力框架下，证明了渐近AdS的静态轴对称复麦克斯韦自引力类玻色星孤子解的存在，并分别得到测试场极限下的解析解和全非线性数值解。
We compute the Euclidean action for constant curvature black holes (CCBHs), as an attempt to associate thermodynamic quantities to these solutions of Einstein anti-de Sitter (AdS) gravity. CCBHs are gravitational configurations obtained by identifications along isometries of a $D$-dimensional globally AdS space, such that the Riemann tensor remains constant. Here, these solutions are interpreted as extended objects, which contain a $(D-2)$-dimensional de-Sitter brane as a subspace. Nevertheless, the computation of the free energy for these solutions shows that they do not obey standard thermod…
In this paper, the Joule{Thomson expansion of Born{Infeld AdS black holes in the consistent Aoki{Gorji{Mukohyama theory of 4D Einstein-Gauss-Bonnet gravity is studied in the extended phase space. We further analyze the effect of parameters αand βon the inversion curves and plot the inversion and isenthalpic curves in the T-P plane, which can determine the cooling-heating regions.
For the $n-1$ dimensional FRW domain wall universe induced by $n$ dimensional charged dilaton black hole, its movement formula in the bulk can be rewrite as the expansion or collapsing of domain wall. By analysing, we found that in this static AdS space, the cosmologic behaviour of domain wall is particularly single. Even more surprising, it exists an anomaly that the domain wall has a motion area outside of horizon, in which it cannot be explained by our classical theory.
Noncommutative Einstein-AdS Gravity in three Dimensions
利用2+1维纯引力的Chern-Simons公式，给出了三维非对易Einstein-AdS引力的洛伦兹形式.变形作用量包含一个实的对称度量和一个实的反对称张量，它在交换极限处消失。这些场耦合到两个阿贝尔规范场。我们发现，这一理论的引力是不变的一类变换，减少到标准的非对易性参数为零后，规范的同态。
We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new solutions possess an extra-parameter associated with a non-zero magnitude of the magnetic potential at infinity. Some of the black holes possess a non-trivial zero-horizon size limit, which corresponds to a solitonic deformation of the AdS background.
Quantized Einstein-Rosen waves, AdS_2, and spontaneous symmetry breaking
在AdS_2的双覆盖上，用1/2质量自由场描述了具有排列极化的四维柱面引力波（Einstein-Rosen波）. Thorn的C-能量是sl（2，R）生成元之一，从（类时）对称轴的再现是CFT_1全息。经典的相空间下也是不变的O（1，1）组作用的度量系数，这是一个残余的原始四维同胚不变性。在量子理论中，这种对称性被自发破缺，而AdS_2共形不变性保持不变。
We investigate the holographic DC and Hall conductivity in massive Einstein-Maxwell-Dilaton (EMD) gravity. Two special EMD backgrounds are considered explicitly. One is dyonic Reissner-Nordstr$\ddot{o}$m-AdS (RN-AdS) geometry and the other one is hyperscaling violation AdS (HV-AdS) geometry. We find that the linear-T resistivity and quadratic-T inverse Hall angle can be simultaneously achieved in HV-AdS models, providing a hint to construct holographic models confronting with the experimental data of strange metal in future.
Brick Wall in AdS-Schwarzschild Black Hole: Normal Modes and Emerging Thermality
本文研究五维 AdS-Schwarzschild 黑洞中砖墙边界条件下探测标量场的简正模式，发现谱对主量子数线性依赖、对角动量非平凡依赖，并通过谱形状因子和推迟格林函数极点凝聚揭示了涌现热行为，将相关研究推广到高维并为黑洞微观态与边界混沌的联系提供新见解。
We find that noncritical gravity, a special class of higher derivative gravity, is classically equivalent to Einstein gravity at the full nonlinear level. We obtain the viscosity-to-entropy ratio and the second order transport coefficients of the dual fluid of noncritical gravity to all orders in the coupling of higher derivative terms. We also compute the holographic entanglement entropy in the dual CFT of noncritical gravity. All these results confirm the nonlinear equivalence between noncritical gravity and Einstein gravity at the classical level.
A Note on Einstein Gravity on AdS$_3$ and Boundary Conformal Field Theory
我们发现在AdS $_3$中的度量场的渐近展开中的第一次引导项之间的简单关系，服从Brown-Henneaux边界条件，以及边界上的基本Liouville理论的应力张量。当用带背景电荷的自由场来描述时，我们还可以给出体度规和边界共形场论之间更明确的关系。
Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
给出了Einstein-Gauss-Bonnet AdS引力的有限作用原理。边界项，这是不同的偶数和奇数维，是一个功能的边界度量，内在曲率和外在曲率。对于偶数维，边界项对应于时空的最大陈式，曲率的渐近AdS条件足以证明这个作用量的适定性。对于奇数维，作用是固定的外部曲率的变化的边界条件下。发现了与背景无关的与渐近对称性有关的Noether荷，并且该作用量的欧氏延拓正确地描述了正则系综中的黑洞热力学.特别是，这一过程导致一个协变公式的真空能量在奇维渐近AdS时空。
In this paper, we show that the physical information given by conserved charges for asymptotically AdS spacetimes in Einstein-Gauss-Bonnet AdS gravity is encoded in the electric part of the Weyl tensor. This result generalizes the conformal mass definition by Ashtekar-Magnon-Das (AMD) to a gravity theory with a Gauss-Bonnet term. This proof makes use of the Noether charges obtained from an action renormalized by the addition of counterterms which depend on the extrinsic curvature (Kounterterms). If the asymptotic fall-off behaviour of the Weyl tensor is same as the one considered in the AMD me…
AdS spacetime has been shown numerically to be unstable against a large class of arbitrarily small perturbations. In arXiv:1410.1869, the authors presented a preliminary study of the effects on stability of changing the local dynamics by adding a Gauss-Bonnet term to the Einstein action. Here we provide further details as well as new results with improved numerical methods. In particular, we elucidate new structure in Choptuik scaling plots. We also provide evidence of chaotic behavior at the transition between immediate horizon formation and horizon formation after the matter pulse reflects f…
We investigate the classical stability of Schwarzschild-AdS black hole in a massive theory of the Einstein-Weyl gravity. It turns out that the linearized Einstein tensor perturbations exhibit unstable modes featuring the Gregory-Laflamme instability of five-dimensional AdS black string, in contrast to the stable Schwarzschild-AdS black hole in the Einstein-Weyl gravity. We confirm that the instability of the black hole in the Einstein-Weyl gravity arises from the massiveness but not a feature of fourth-order derivative theory giving ghost states.
New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes
在S^2 × S^3和S^2上的非平凡S^3-丛上构造了一个新的Einstein度量的无穷级数，其中包含了无穷多个非齐次项。它们表现为一个近乎极端的5维AdS Kerr黑洞的某个极限。在特殊情况下，度量约化为Wang和Ziller研究的齐次爱因斯坦度量。我们还构造了一个d维AdS Kerr黑洞在S^2上的非平凡S^{d-2}-丛上的非齐次Einstein度规。我们的构造是Page方法的高维版本，Page方法给出了CP^2 \sharp \bar{CP^2}上的非齐次Einstein度量。
Monople and dyon solutions in the Einstein Yang-Mills theory in asymptotically AdS space
本文讨论了SU（2）Einstein Yang-Mills方程在渐近反de Sitter空间中的正则π介子解和双子解。证明了一类非线性解对球对称线性扰动是稳定的。
McNamara and Vafa conjectured that any pair of consistent quantum gravity theories can be connected by a domain wall. We test the conjecture in the context of the AdS/CFT correspondence. There are topological constraints on existence of an interface between the corresponding conformal field theories. We discuss how to construct domain walls in AdS predicted by the conjecture when the corresponding conformal interfaces are prohibited by topological obstructions.
We have studied the quasinormal modes of a massive scalar field coupling to Einstein's tensor in the spacelike stretched $AdS_3$ black hole spacetime. We find that both the right-moving and left-moving quasinormal frequencies depend not only on the warped parameter $v$ of black hole, but also on the coupling between the scalar field and Einstein's tensor. Moreover, we also discuss the warped $AdS/CFT$ correspondence from the quasinormal modes and probe the effects of the coupling on the left and right conformal weights $h_L$ and $h_R$ of the operators dual to the scalar field in the boundary.
Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions II -- Asymptotically AdS Topological Black Holes --
在Einstein引力场中，考虑Gauss-Bonnet项、介子和一个“宇宙学常数“，研究了k=0（平面对称）的AdS拓扑黑洞解的渐近性质.我们导出了一般D维的场方程。我们确定了包含强子耦合的参数区域，并在D= 4，5，6和10维零曲率超曲面的时空中数值构造了不同质量的黑洞解.
The interaction between bulk and dynamic domain wall in the presence of a linear / non-linear electromagnetism make energy density, tension and pressure on the wall all variables, depending on the wall position. In [1] this fact seems to be ignored.
We derive and discuss the physical interpretation of a conformally flat, static solution of the Einstein-Maxwell equations. It is argued that it describes a conformally flat, static spacetime outside a charged spherically symmetric domain wall. The acceleration of gravity is directed away from the wall in spite of the positive gravitational mass of the electric field outside the wall, as given by the Tolman-Whittaker expression. The reason for the repulsive gravitation is the strain of the wall which is calculated using the Israel formalism for singular surfaces.
We consider the Gauss-Bonnet corrected Bardeen black hole solution in 4-D AdS space-time. The solution is obtained by the limiting procedure adopted by Glavan and Lin in 4-D Einstein-Gauss-Bonnet gravity. The general form of first law of black hole thermodynamics is utilized to calculate various thermodynamics variables. The solution exhibit P-v criticality and belong to the universality class of van-der Waals fluid. The effect of Gauss-Bonnet coupling is investigated on critical parameters and inversion temperature.
We investigate the dynamics of a d-dimensional domain wall (DW) in a d+1-dimensional Einstein-Gauss-Bonnet (EGB) bulk. Exact effective potential induced by the Gauss-Bonnet (GB) term on the wall is derived. In the absence of the GB term we recover the familiar gravitational and anti-harmonic oscillator potentials. Inclusion of the GB correction gives rise to a minimum radius of bounce for the Friedmann-Robertson-Walker (FRW) universe expanding with a negative pressure on the DW.
Cylindrical Domain Walls and Gravitational Waves -- Einstein Rosen wave emission from momentarily static initial configuration --
以自引力圆柱形畴壁为例，阐明了畴壁与引力波的相互作用。我们考虑的时间演化从一个瞬间静态的初始配置在一个无限小的时间间隔内使用度规结形式主义。我们发现，具有较大初始半径的壁面辐射出较大振幅的引力波，并受到较大的反作用。
We construct unique local solutions for the spherically-symmetric Einstein-Klein-Gordon-AdS system subject to a large class of initial and boundary conditions including some considered in the context of the AdS-CFT correspondence. The proof relies on estimates developed for the linear wave equation by the second author and involves a careful renormalization of the dynamical variables, including a renormalization of the well-known Hawking mass. For some of the boundary conditions considered this system is expected to exhibit rich global dynamics, including the existence of hairy black holes. Th…
In this paper, we study the global behavior of solutions to the spherically symmetric coupled Einstein-Klein-Gordon (EKG) system in the presence of a negative cosmological constant. We prove that the Schwarzschild-AdS spacetimes (the trivial black hole solutions of the EKG system for which $ϕ=0$ identically) are asymptotically stable: Small perturbations of Schwarzschild-AdS initial data again lead to regular black holes, with the metric on the black hole exterior approaching a Schwarzschild-AdS spacetime. The main difficulties in the proof arise from the lack of monotonicity for the Hawking m…
We prove the existence of asymptotically hyperbolic solutions to the vacuum Einstein constraint equations with a marginally outer trapped boundary of positive mean curvature, using the constant mean curvature conformal method. As an application of this result, we verify the Penrose inequality for certain perturbations of Schwarzschild Anti-de Sitter black hole initial data.
In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006, has attracted a substantial amount of numerical and heuristic studies. Following the pioneering work of Bizon-Rostworowski, research efforts have been mainly focused on the study of the spherically symmetric Einstein-scalar field system. The first rigorous proof of the instability of AdS in the simplest spherically symmetric setting, namely for the Einstein-null dust system, was obtained in [G. Moschidis, A proof of the instability of AdS for the Einstein-null dust system with an inner mirror, 2017, arXi…
We consider the stability of the toroidal AdS-Schwarzshild black holes as solutions of the Einstein--Klein-Gordon system, with Dirichlet or Neumann boundary conditions for the scalar field. Restricting to perturbations that respect the toroidal symmetry we show both orbital and asymptotic stability for the full nonlinear problem, for a range of choices of the Klein-Gordon mass. The solutions we construct with Neumann boundary conditions have a Hawking mass which diverges towards infinity, reflecting the infinite energy of the Klein-Gordon field for perturbations satisfying these boundary condi…
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