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Related papers: Horizon surface gravity as 2d geodesic expansion

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We obtain the spectra of codimension-2 horizon "edge" degrees of freedom for gravity and higher-spin gauge fields in de Sitter space and in the static Nariai spacetime, advancing previous Lorentzian and Euclidean analyses of one-loop…

High Energy Physics - Theory · Physics 2026-04-15 Y. T. Albert Law , Varun Lochab

We consider a freely falling holographic screen for the Schwarzschild and Reissner-Nordstr\"om black holes and evaluate the entropic force \`a la Verlinde. When the screen crosses the event horizon, the temperature of the screen agrees to…

General Relativity and Quantum Cosmology · Physics 2010-11-03 Ee Chang-Young , Myungseok Eune , Kyoungtae Kimm , Daeho Lee

We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerical data support the scaling hypothesis and indicate that the quantum geometry develops a non-perturbative…

High Energy Physics - Lattice · Physics 2009-10-28 S. Catterall , G. Thorleifsson , M. Bowick , V. John

The instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the Hamilton-Jacobi method. The method automatically selects one special expression for the surface gravity…

High Energy Physics - Theory · Physics 2008-11-26 R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini , G. Zoccatelli

This article develops a computational framework for determining the location of boundary-covariant apparent horizons in the geometry of conformal fluid-gravity duality in arbitrary dimensions. In particular, it is shown up to second order…

High Energy Physics - Theory · Physics 2011-05-19 Ivan Booth , Michal P. Heller , Grzegorz Plewa , Michal Spalinski

A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Badri Krishnan

In this paper, we perform a detailed investigation on the various geometrical properties of trapped surfaces and the boundaries of trapped region in general relativity. This treatment extends earlier work on LRS II spacetimes to a general 4…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Abbas Sherif , Rituparno Goswami , Sunil D Maharaj

We study the near horizon geometry of generic Killing horizons constructing suitable coordinates and taking the appropriate scaling limit. We are able to show that the geometry will always show an enhancement of symmetries, and, in the…

High Energy Physics - Theory · Physics 2014-06-20 Bruno Carneiro da Cunha , Amilcar de Queiroz

We investigate the broad landscape of holographic complexity measures for theories dual to two-dimensional (2D) dilaton gravity. Previous studies have largely focused on the complexity=volume and complexity=action proposals for holographic…

High Energy Physics - Theory · Physics 2025-11-14 Elena Cáceres , Rafael Carrasco , Vaishnavi Patil , Juan F. Pedraza , Andrew Svesko

We probe the thermodynamic structure of gravity at local scales. In any general curved spacetime, it is possible to transform to a local inertial frame at any point such that the metric is flat up to quadratic order where the curvature at…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Suprit Singh

We prove that the intrinsic geometry of compact cross-sections of any vacuum extremal horizon must admit a Killing vector field. If the cross-sections are two-dimensional spheres, this implies that the most general solution is the extremal…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Maciej Dunajski , James Lucietti

We have different definitions of the surface gravity (SG) of a horizon since we can say we have distinct classifications of horizons. The SG has an underlying role in the laws of black hole (BH) thermodynamics, being constant in the event…

General Relativity and Quantum Cosmology · Physics 2024-03-06 Everton M. C. Abreu

The introduction of coordinates representing the points of view of various observers results in the possibility of horizons when acceleration and gravitation are included. A horizon is a surface of possible light beams in a region of space…

General Relativity and Quantum Cosmology · Physics 2007-06-26 James Lindesay

Classical black holes and event horizons are highly non-local objects, defined in terms of the causal past of future null infinity. Alternative, (quasi)local definitions are often used in mathematical, quantum, and numerical relativity.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth , Stephen Fairhurst

The entropy S of the horizon $theta = pi/2$ of the Hawking wormhole written in spherical Rindler coordinates is computed in this letter. Using Padmanabhan's prescription,we found that the surface gravity of the horizon equals the proper…

High Energy Physics - Theory · Physics 2007-05-23 Hristu Culetu

We consider the classification of near-horizon geometries in a general two-derivative theory of gravity coupled to abelian gauge fields and uncharged scalars in four and five dimensions, with one and two commuting rotational symmetries…

High Energy Physics - Theory · Physics 2011-07-28 Hari K. Kunduri , James Lucietti

The gravitational collapse of a spherical distribution, in a class of f(R) theories of gravity, where f(R) is power function of R, is discussed. The spacetime is assumed to admit a homothetic Killing vector. In the collapsing modes, some of…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Soumya Chakrabarti , Narayan Banerjee

Using ideas employed in higher dimensional gravity, non-expanding, weakly isolated and isolated horizons are introduced and analyzed in 2+1 dimensions. While the basic definitions can be taken over directly from higher dimensions, their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Olaf Dreyer , Jacek Wisniewski

Cosmic horizons arise in general relativity in the context of black holes and in certain cosmologies. Classically, regions beyond a horizon are inaccessible to causal observers. However, quantum mechanical correlations may exist across…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Martin B Einhorn , Manavendra Mahato

In Class. Quantum Grav. 35 (2018) 155015 we have introduced the notion of "Multiple Killing Horizon" and analyzed some of its general properties. Multiple Killing Horizons are Killing horizons for two or more linearly independent Killing…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Marc Mars , Tim-Torben Paetz , José M. M. Senovilla