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We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

The tools of Kerr/CFT correspondence are applied to the Kerr black hole embedded in an axial external magnetic field. Its extremal near horizon geometry remains a warped and twisted product of $AdS_2\times S^2$. The central charge of the…

High Energy Physics - Theory · Physics 2015-10-21 Marco Astorino

We present new exact charged black hole solutions in (2+1) dimensions within the framework of $f({Q})$ gravity, where ${Q}$ denotes the non-metricity scalar. By considering a cubic $f({Q})$ form we derive classes of charged and uncharged…

General Relativity and Quantum Cosmology · Physics 2026-04-24 G. G. L. Nashed , Emmanuel N. Saridakis

We analytically calculate the quasi-normal modes of various perturbations of spacelike stretched and null warped $AdS_3$ black holes. From AdS/CFT correspondence, these quasi-normal modes are expected to appear as the poles in momentum…

High Energy Physics - Theory · Physics 2010-02-08 Bin Chen , Zhi-bo Xu

The duality relating the four-dimensional Kerr-Taub-NUT black hole to a thermal two-dimensional CFT with central charges $c_L=c_R=12 J_0$ is analyzed in detail, generalizing an argument given recently for Kerr within the soft-hair approach.…

High Energy Physics - Theory · Physics 2022-05-20 Malcolm J. Perry , Maria J. Rodriguez

We consider solutions in Einstein-Maxwell theory with a negative cosmological constant that asymptote to global $AdS_{4}$ with conformal boundary $S^{2}\times\mathbb{R}_{t}$. At the sphere at infinity we turn on a space-dependent…

High Energy Physics - Theory · Physics 2016-05-25 Miguel S. Costa , Lauren Greenspan , Miguel Oliveira , João Penedones , Jorge E. Santos

With the help of a generalized form of the metric ansatz found for the single-charge case in a previous work [S.Q. Wu, Phys. Rev. D 83, 121502(R) (2011)], I adopt a simple algorithm to construct the most general nonextremal rotating charged…

High Energy Physics - Theory · Physics 2012-01-04 Shuang-Qing Wu

Recently, the theory of Topologically massive gravity non-minimally coupled to a scalar field has been proposed which comes from Lorentz-Chern-Simons theory \cite{1}. That theory is a torsion free one. We extend that theory by adding an…

High Energy Physics - Theory · Physics 2016-04-28 M. R. Setare , H. Adami

We note that Witten's proposed duality between extremal c=24k CFTs and three-dimensional anti-de Sitter gravity may possibly be extended to central charges that are multiples of 8, for which extremal self-dual CFTs are known to exist up to…

High Energy Physics - Theory · Physics 2009-06-10 Spyros D. Avramis , Alex Kehagias , Constantina Mattheopoulou

We consider the superconformal index of three-dimensional ${\cal N}=2$ supersymmetric field theories computed via localization on $S^1\times S^2$. We systematically develop an expansion where the ratio of the radius of $S^1$ to the radius…

High Energy Physics - Theory · Physics 2022-10-24 Alfredo González Lezcano , Maximilian Jerdee , Leopoldo A. Pando Zayas

We discuss some new developments in three-dimensional gravity with torsion, based on Riemann-Cartan geometry. Using the canonical approach, we study the structure of asymptotic symmetry, clarify its fundamental role in defining the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Blagojevic , B. Cvetkovic

An off-shell generalization of the Abbott-Deser-Tekin (ADT) conserved charge was recently proposed by Kim et al. They achieved this by introducing off-shell Noether currents and potentials. In this paper, we construct the crucial off-shell…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jun-Jin Peng

We formulate noncommutative three-dimensional (3d) gravity by making use of its connection with 3d Chern-Simons theory. In the Euclidean sector, we consider the particular example of topology $T^2 \times R$ and show that the 3d black hole…

High Energy Physics - Theory · Physics 2009-08-13 M. Banados , O. Chandia , N. Grandi , F. A. Schaposnik , G. A. Silva

We study the AdS rotating black hole solution for the Bergshoeff-Hohm-Townsend (BHT) massive gravity in three dimensions. The field equations of the asymptotically AdS black hole of the static metric can be expressed as the first law of…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Behrouz Mirza , Zeinab Sherkatghanad

We discuss the quasi-normal modes of massive scalar perturbations of black holes in AdS_5 in conjunction with the AdS/CFT correspondence. On the gravity side, we solve the wave equation and obtain an expression for the asymptotic form of…

High Energy Physics - Theory · Physics 2009-11-10 George Siopsis

Resorting to the notion of a stress tensor induced on the boundary of a spacetime, we compute the conserved charges associated to exact solutions of New Massive Gravity that obey weakened versions of AdS_3 asymptotic boundary conditions.…

High Energy Physics - Theory · Physics 2011-08-08 Gaston Giribet , Mauricio Leston

The five dimensional Einstein-Gauss-Bonnet gravity with a negative cosmological constant becomes, for a special value of the Gauss-Bonnet coupling constant, a Chern-Simons (CS) theory of gravity. In this work we discuss the properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yves Brihaye , Eugen Radu

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova

We review some relevant results in the context of higher spin black holes in three-dimensional spacetimes, focusing on their asymptotic behaviour and thermodynamic properties. For simplicity, we mainly discuss the case of gravity…

High Energy Physics - Theory · Physics 2014-05-14 Alfredo Perez , David Tempo , Ricardo Troncoso

Charged Black holes in Gauss-Bonnet extended gravity are studied. The electromagnetic field is coupled non-minimally, as in U(2,2) Chern-Simons theory. We find that the geometrical properties of the solution exhibit ``phase transitions" as…

High Energy Physics - Theory · Physics 2010-11-19 Maximo Banados