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We present a modified version of the boundary counterterm method for removing divergences from the action of an asymptotically $AdS$ spacetime. The standard approach renders the action finite but leaves diffeomorphism invariance partially…

High Energy Physics - Theory · Physics 2007-05-23 Robert McNees

Several investigations show that in a very small length scale there exists corrections to the entropy of black hole horizon. Due to fluctuations of the background metric and the external fields the action incorporates corrections. In the…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Bibhas Ranjan Majhi , Sumanta Chakraborty

It is expected that black holes are formed dynamically under the gravitational collapses and approach to the stationary states. In this paper, we show that the asymptotic Killing vector at late time should exist on the horizon and then that…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Kentaro Tanabe , Tetsuya Shiromizu , Shunichiro Kinoshita

Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue. This pursuit reveals a hidden conformal symmetry in the law frequency wave equation…

High Energy Physics - Theory · Physics 2010-11-30 Yoshinori Matsuo , Takuya Tsukioka , Chul-Moon Yoo

We present a new vacuum solution of Einstein's equations describing the near horizon region of two neutral, extreme (zero-temperature), co-rotating, non-identical Kerr black holes. The metric is stationary, asymptotically near horizon…

High Energy Physics - Theory · Physics 2019-08-21 Jacob Ciafre , Shahar Hadar , Erin Rickenbach , Maria J. Rodriguez

Highly accurate closed-form expressions that describe the full trajectory of photons propagating in the equatorial plane of a Kerr black hole are obtained using asymptotic approximants. This work extends a prior study of the overall bending…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Ryne J. Beachley , Morgan Mistysyn , Joshua A. Faber , Steven J. Weinstein , Nathaniel S. Barlow

In this paper I present an action principle for odd dimensional AdS gravity which consists of introducing another manifold with the same boundary and a very specific boundary term. This new action allows and alternative approach to the…

High Energy Physics - Theory · Physics 2007-08-23 Pablo Mora

We compute new exact analytic expressions for one-loop scalar effective actions in Kerr (A)dS black hole (BH) backgrounds in four and five dimensions. These are computed by the connection coefficients of the Heun equation via a…

High Energy Physics - Theory · Physics 2025-01-14 Paolo Arnaudo , Giulio Bonelli , Alessandro Tanzini

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and…

High Energy Physics - Theory · Physics 2016-03-23 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

I rederive the Kerr/CFT correspondence without first taking the near-horizon extremal Kerr limit. This method extends easily to nonextremal black holes, for which the temperature and central charge behave poorly at the horizon but the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 S. Carlip

A finite action principle for three-dimensional gravity with negative cosmological constant, based on a boundary condition for the asymptotic extrinsic curvature, is considered. The bulk action appears naturally supplemented by a boundary…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

Near the horizon of extremal charged black holes, an accidental symmetry is known to act on zero-temperature perturbations, transforming them into finite-temperature ones. In this paper, we uncover the corresponding accidental symmetry of…

High Energy Physics - Theory · Physics 2025-04-30 Avik Banerjee , Achilleas P. Porfyriadis , Grant N. Remmen

The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2,1) x U(1) matches precisely the bosonic subgroup of N=2 superconformal group in one dimension. In this paper we construct N=2…

High Energy Physics - Theory · Physics 2010-11-30 Anton Galajinsky

New chiral boundary conditions are found for quantum gravity with matter on AdS3. The associated asymptotic symmetry group is generated by a single right-moving U(1) Kac-Moody-Virasoro algebra with c_R = 3l/2G. The Kac-Moody zero mode…

High Energy Physics - Theory · Physics 2015-06-15 Geoffrey Compère , Wei Song , Andrew Strominger

We study the near horizon limit of a four dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of this…

High Energy Physics - Theory · Physics 2016-08-25 James Bardeen , Gary T. Horowitz

We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of $AdS_2/CFT_1$ correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass.…

High Energy Physics - Theory · Physics 2016-06-13 Ananda Guneratne , Leo Rodriguez , Sujeev Wickramasekara , Tuna Yildirim

In this work, we compute the precise late-time asymptotics for the scalar field in the interior of a non-static subextreme Kerr black hole, based on recent progress on deriving its precise asymptotics in the Kerr exterior region. This…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Siyuan Ma , Lin Zhang

Recent work has shown that loop corrections from massless particles generate $\frac{3}{2}\log T_{\text{Hawking}}$ corrections to black hole entropy which dominate the thermodynamics of cold near-extreme charged black holes. Here we adapt…

High Energy Physics - Theory · Physics 2024-09-04 Daniel Kapec , Ahmed Sheta , Andrew Strominger , Chiara Toldo

The covariant phase technique is used to compute the constraint algebra of the stationary axisymmetric charged black hole. A standard Virasoro subalgebra with corresponding central charge is constructed at a Killing horizon with Carlip's…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan