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The membrane paradigm displays underlying connections between a timelike stretched horizon and a null boundary (such as a black hole horizon) and bridges the gravitational dynamics of the horizon with fluid dynamics. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Laurent Freidel , Puttarak Jai-akson

By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon state satisfying the boundary conditions be a…

General Relativity and Quantum Cosmology · Physics 2014-06-04 Daniele Pranzetti

It is proposed that if quantum states of space-time are coherent on null surfaces, holographic Planck-scale fluctuations of inflationary horizons dominate the formation of primordial scalar curvature perturbations. It is shown that the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Craig Hogan

We explore use of the harmonic Einstein equations to numerically find stationary black holes where the problem is posed on an ingoing slice that extends into the interior of the black hole. Requiring no boundary conditions at the horizon…

High Energy Physics - Theory · Physics 2013-05-01 Pau Figueras , Toby Wiseman

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map…

High Energy Physics - Theory · Physics 2024-03-12 Avijit Das , Shivrat Sachdeva , Debajyoti Sarkar

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…

High Energy Physics - Theory · Physics 2009-11-10 M. Cvitan , S. Pallua , P. Prester

One version of the membrane paradigm states that as far as outside observers are concerned, black holes can be replaced by a dissipative membrane with simple physical properties located at the stretched horizon. We demonstrate that such a…

High Energy Physics - Theory · Physics 2015-01-20 Jan de Boer , Michal P. Heller , Natalia Pinzani-Fokeeva

Using the eternal BTZ black hole as a concrete example, we show how spacelike singularities and horizons can be described in terms of AdS/CFT amplitudes. Our approach is based on analytically continuing amplitudes defined in Euclidean…

High Energy Physics - Theory · Physics 2009-09-17 Per Kraus , Hirosi Ooguri , Stephen Shenker

We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of…

High Energy Physics - Theory · Physics 2025-03-12 Zhehan Li , Zhifeng Li , Jia Tian

Using the {\it off-shell} Noether current and potential we compute the entropy for the AdS black holes in new massive gravity. For the non-extremal BTZ black holes by implementing the so-called stretched horizon approach we reproduce the…

High Energy Physics - Theory · Physics 2013-05-16 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

While the supergravity limit of AdS/CFT has been extensively explored, the regime in which stringy dynamics dominate, characterized by the emergence of an infinite tower of higher-spin massive modes, is far less understood. In this work, we…

High Energy Physics - Theory · Physics 2025-12-04 Aidan Herderschee , Jonah Kudler-Flam

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…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We consider generic static spacetimes with Killing horizons and study properties of curvature tensors in the horizon limit. It is determined that the Weyl, Ricci, Riemann and Einstein tensors are algebraically special and mutually aligned…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Pravda , O. B. Zaslavskii

We study the evolution of horizons of black holes in the $1+1+2$ covariant setting and investigate various properties intrinsic to the geometry of the foliation surfaces of these horizons. This is done by interpreting formulations of…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Abbas Sherif , Rituparno Goswami , Sunil Maharaj

We explore the spacetime structure near non-extremal horizons in any spacetime dimension greater than two and discover a wealth of novel results: 1. Different boundary conditions are specified by a functional of the dynamical variables,…

High Energy Physics - Theory · Physics 2020-02-05 Daniel Grumiller , Alfredo Pérez , M. M. Sheikh-Jabbari , Ricardo Troncoso , Céline Zwikel

Synthetic horizons in models for quantum matter provide an alternative route to explore fundamental questions of modern gravitational theory. Here, we apply these concepts to the problem of emergence of thermal quantum states in the…

Strongly Correlated Electrons · Physics 2022-12-16 Lotte Mertens , Ali G. Moghaddam , Dmitry Chernyavsky , Corentin Morice , Jeroen van den Brink , Jasper van Wezel

Isolated horizons that admit the Hopf bundle structure $H\rightarrow S_2$ are investigated, however the null direction is allowed not to be tangent to the bundle fibres. The geometry of such horizons is characterised by data set on a…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Denis Dobkowski-Ryłko , Jerzy Lewandowski , Maciej Ossowski

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

The article addresses a possibility of obtaining cosmologically relevant effects from the quantum nature of the Hubble horizon. Following the observation made by E.~Bianchi and C.~Rovelli in Phys.\ Rev.\ D {\bf 84} (2011) 027502 we explore…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Michal Artymowski , Jakub Mielczarek

We develop basic tools and matching conditions to interpolate between asymptotic and near horizon symmetries. We focus on black holes in three dimensions. In particular, we match Brown--Henneaux boundary conditions at infinity, which yields…

High Energy Physics - Theory · Physics 2020-04-22 D. Grumiller , M. M. Sheikh-Jabbari , C. Troessaert , R. Wutte