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We show that the gravitational phase space for the near-horizon region of a bifurcate, axisymmetric Killing horizon in any dimension admits a 2D conformal symmetry algebra with central charges proportional to the area. This extends the…

高能物理 - 理论 · 物理学 2020-12-22 Lin-Qing Chen , Wan Zhen Chua , Shuwei Liu , Antony J. Speranza , Bruno de S. L. Torres

The existence of black hole horizon is considered as a boundary condition to be imposed on the fluctuating metrics. The coordinate invariant form of the condition for class of spherically symmetric metrics is formulated. The diffeomorphisms…

高能物理 - 理论 · 物理学 2009-10-31 Sergey N. Solodukhin

Near an event horizon, the action of general relativity acquires a new asymptotic conformal symmetry. Using two-dimensional dilaton gravity as a test case, I show that this symmetry results in a chiral Virasoro algebra with a calculable…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

We have a new observation that near horizon symmetry generators, corresponding to diffeomorphisms which leave the horizon structure invariant, satisfy noncommutative Heisenberg algebra. The results are valid for any null surfaces (which has…

广义相对论与量子宇宙学 · 物理学 2017-02-23 Bibhas Ranjan Majhi

On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

We show that the diffeomorphisms, which preserve the null nature for a generic null metric very near to the null surface, provide {\it noncommutative} Heisenberg algebra. This is the generalization of the earlier work (Phys. Rev. D95,…

广义相对论与量子宇宙学 · 物理学 2018-08-07 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We treat D-dimensional black holes with Killing horizon for extended Gauss-Bonnet gravity. We use Carlip method and impose boundary conditions on horizon what enables us to identify Virasoro algebra and evaluate its central charge and…

高能物理 - 理论 · 物理学 2009-11-07 M. Cvitan , S. Pallua , P. Prester

We treat spherically symmetric black holes in Gauss-Bonnet gravity by imposing boundary conditions on fluctuating metric on the horizon. Obtained effective two-dimensional theory admits Virasoro algebra near the horizon. This enables, with…

高能物理 - 理论 · 物理学 2010-11-19 M. Cvitan , S. Pallua , P. Prester

We derive black hole entropy based on the near-horizon symmetries of black hole space-times. To derive these symmetries we make use of an $(R,T)$-plane close to a Killing horizon. We identify a set of vector fields that preserves this plane…

广义相对论与量子宇宙学 · 物理学 2014-02-04 Olaf Dreyer , Amit Ghosh , Avirup Ghosh

Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly,…

高能物理 - 理论 · 物理学 2010-04-28 S. Carlip

We derive the dual CFT Virasoro algebras from the algebra of conserved diffeomorphism charges, for a large class of abelian Kaluza-Klein black holes. Under certain conditions, such as non-vanishing electric and magnetic monopole charges,…

高能物理 - 理论 · 物理学 2011-03-14 Edwin Barnes , Diana Vaman , Chaolun Wu

A de Sitter black hole or a black hole spacetime endowed with a positive cosmological constant has two Killing horizons -- a black hole and a cosmological event horizon surrounding it. It is natural to expect that the total…

广义相对论与量子宇宙学 · 物理学 2016-03-08 Sourav Bhattacharya

Recently, Carlip proposed a derivation of the entropy of the two-dimensional dilatonic black hole by investigating the Virasoro algebra associated with a newly introduced near-horizon conformal symmetry. We point out not only that the…

高能物理 - 理论 · 物理学 2014-11-18 Gungwon Kang , Jun-ichirou Koga , Mu-In Park

In this paper, we first show that the definition of the universal horizons studied recently in the khrononmetric theory of gravity can be straightforwardly generalized to other theories that violate the Lorentz symmetry, by simply…

广义相对论与量子宇宙学 · 物理学 2015-01-05 Kai Lin , Elcio Abdalla , Rong-Gen Cai , Anzhong Wang

Starting from the surface term of gravitational action, one can construct a Virasoro algebra with central extension, with which the horizon entropy can be derived by using Cardy formula. This approach gives a new routine to calculate and…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Cheng-Yong Zhang , Yu Tian , Xiao-Ning Wu , Shao-Jun Zhang

We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive…

高能物理 - 理论 · 物理学 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

Modified gravity models such as Ho\v{r}ava-Lifshitz gravity or Einstein-{\ae}ther theory violate local Lorentz invariance and therefore destroy the notion of a universal light cone. Despite this, in the infrared limit both models above…

高能物理 - 理论 · 物理学 2013-05-30 Per Berglund , Jishnu Bhattacharyya , David Mattingly

Violating Lorentz-invariance, and so implicitly permitting some form of superluminal communication, necessarily alters the notion of a black hole. Nevertheless, in both Einstein-{\AE}ther gravity, and Ho\v{r}ava-Lifshitz gravity, there is…

广义相对论与量子宇宙学 · 物理学 2014-03-31 Bethan Cropp , Stefano Liberati , Arif Mohd , Matt Visser

There are certain black hole solutions in general relativity (GR) which are conformally related to the stationary solutions in GR. It is not obvious that the horizon entropy of these spacetimes is also one quarter of the area of horizon,…

广义相对论与量子宇宙学 · 物理学 2014-08-20 Bibhas Ranjan Majhi

We show that microscopic black hole entropy formula based on Virasoro algebra can be derived from usual properties of stationary Killing horizons alone and absence of singularities of curvature invariants on them. In such a way some usual…

高能物理 - 理论 · 物理学 2009-11-10 M. Cvitan , S. Pallua , P. Prester
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