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The entanglement entropy in $d+1$ dimensional conformal field theories can be calculated using the area of $d$ dimensional minimal surfaces in $AdS_{d+2}$. Therefore, the existence of surfaces anchored in the boundary of an asymptotically…

High Energy Physics - Theory · Physics 2026-04-10 Oscar Lasso Andino , Axel León-Arteaga , Guillermo Ramírez-Ulloa

The geodesics of the rotating extreme black hole in five spacetime dimensions found by Breckenridge, Myers, Peet and Vafa are Liouville integrable and may be integrated by additively separating the Hamilton-Jacobi equation. This allows us…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , C. A. R. Herdeiro

We obtain a new class of stationary axisymmetric spacetimes by using the G\"urses-G\"ursey metric with an appropriate mass function in order to generate a rotating core of matter that may be smoothly matched to the exterior Kerr metric. The…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Angel D. Masa , Vilson T. Zanchin

Generalizing the scaling limit of Martelli and Sparks [hep-th/0505027] into an arbitrary number of spacetime dimensions we re-obtain the (most general explicitly known) Einstein-Sasaki spaces constructed by Chen, Lu, and Pope…

High Energy Physics - Theory · Physics 2015-05-13 David Kubiznak

Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the ${\cal N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a null Killing…

High Energy Physics - Theory · Physics 2015-10-28 Gokhan Alkac , Luca Basanisi , Eric A. Bergshoeff , Deniz Olgu Devecioglu , Mehmet Ozkan

We investigate the zero entropy limit of the near horizon geometries of D=4 and D=5 general extremal black holes with SL(2,R)xU(1)^{D-3} symmetry. We derive some conditions on the geometries from expectation of regularity. We then show that…

High Energy Physics - Theory · Physics 2011-04-12 Tatsuo Azeyanagi , Noriaki Ogawa , Seiji Terashima

We examine the global structure of scalar field critical collapse spacetimes using a characteristic double-null code. It can integrate past the horizon without any coordinate problems, due to the careful choice of constraint equations used…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Andrei V. Frolov , Ue-Li Pen

The 4D-5D connection allows us to view the same near horizon geometry as part of a 4D black hole or a 5D black hole. A much studied example of this phenomenon is the BMPV black hole uplifted to 6D with flat base space versus Taub-NUT base…

High Energy Physics - Theory · Physics 2024-10-18 Subhodip Bandyopadhyay , Yogesh K. Srivastava , Amitabh Virmani

The recent holographic deduction of Penrose inequality only assumes null energy condition while the weak or dominant energy condition is required in usual geometric proof. This paper makes a step toward filling up gap between these two…

High Energy Physics - Theory · Physics 2023-02-01 Zi-Qing Xiao , Run-Qiu Yang

In this paper, we introduce a metric ansatz designed to describe spherically symmetric quantum-corrected black hole (BH) space-time within an AdS space background, incorporating both an ordinary and a phantom global monopole. Our study…

General Relativity and Quantum Cosmology · Physics 2025-03-20 B. Hamil , B. C. Lütfüoğlu , F. Ahmed , Z. Yousaf

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular,…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. Gariel , N. O. Santos , Anzhong Wang

In this note we prove that the Hamilton-Jacobi equation in the background of the recently discovered charged Kerr-AdS black hole of D=5 minimal gauged supergravity is separable, for arbitrary values of the two rotation parameters. This…

High Energy Physics - Theory · Physics 2010-04-05 Paul Davis , Hari K. Kunduri , James Lucietti

We study the canonical quantization of a massive scalar field on a five dimensional, rotating black hole space-time. We focus on the case where the space-time is asymptotically anti-de Sitter and the black hole's two angular momentum…

High Energy Physics - Theory · Physics 2025-11-27 Alessandro Monteverdi , Elizabeth Winstanley

In this paper we will review some facts, both classical and recent, concerning the geometry and analysis of the Kerr and related black hole spacetimes. This includes the analysis of test fields on these spacetimes. Central to our analysis…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Lars Andersson , Thomas Bäckdahl , Pieter Blue

In this note, the off-shell generalized Abbott-Deser-Tekin (ADT) formalism is applied to explore the mass of Kerr-anti-de Sitter (Kerr-AdS) black holes in various dimensions within asymptotically rotating frames. The cases in four and five…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Yi-De Jing , Jun-Jin Peng

We derive a map between Einstein spaces of positive and negative curvature, including scalar matter. Starting from a space of positive curvature with some dimensions compactified on a sphere and analytically continuing the number of compact…

High Energy Physics - Theory · Physics 2015-03-18 Adriana Di Dato , Markus B. Fröb

We provide an invariant characterization of the physical properties of the Kerr spacetime. We introduce two dimensionless invariants, constructed out of some known curvature invariants, that act as detectors for the event horizon and…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Majd Abdelqader , Kayll Lake

We show that there exists a holographic 2D CFT description of a Kerr-Bolt-AdS-dS spacetime. We first consider the wave equation of a massless scalar field propagating in extremal Kerr-Bolt-AdS-dS spacetimes and find in the "near region",…

High Energy Physics - Theory · Physics 2011-03-31 B. Chen , A. M. Ghezelbash , V. Kamali , M. R. Setare

We present results from the evolution of spacetimes that describe the merger of asymptotically global AdS black holes in 5D with an SO(3) symmetry. Prompt scalar field collapse provides us with a mechanism for producing distinct trapped…

High Energy Physics - Theory · Physics 2015-03-05 Hans Bantilan , Paul Romatschke

We study the space of Killing fields on the four dimensional AdS spacetime $AdS^{3,1}$. Two subsets $\mathcal{S}$ and $\mathcal{O}$ are identified: $\mathcal{S}$ (the spinor Killing fields) is constructed from imaginary Killing spinors, and…

Differential Geometry · Mathematics 2016-01-05 Po-Ning Chen , Pei-Ken Hung , Mu-Tao Wang , Shing-Tung Yau