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We study a correspondence between gravitational shockwave geometry and its fluid description near a Rindler horizon in Minkowski spacetime. Utilizing the Petrov classification that describes algebraic symmetries for Lorentzian spaces, we…

High Energy Physics - Theory · Physics 2024-07-29 Sang-Eon Bak , Cynthia Keeler , Yiwen Zhang , Kathryn M. Zurek

Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with…

High Energy Physics - Theory · Physics 2015-06-12 Norihiro Iizuka , Shamit Kachru , Nilay Kundu , Prithvi Narayan , Nilanjan Sircar , Sandip P. Trivedi , Huajia Wang

We perform a detailed study of the covariance properties of the symplectic potential of general relativity on a null hypersurface, and of the different polarizations that can be used to study conservative as well as leaky boundary…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Gloria Odak , Antoine Rignon-Bret , Simone Speziale

The Carrollian fluid equations arise as the $c \to 0$ limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography community. However, the rigorous mathematical well-posedness…

Analysis of PDEs · Mathematics 2025-06-05 P. Marios Petropoulos , Simon Schulz , Grigalius Taujanskas

Following the membrane paradigm, we explore the effect of the gravitational $\Theta$-term on the behavior of the stretched horizon of a black hole in (3+1)-dimensions. We reformulate the membrane paradigm from a quantum path-integral point…

High Energy Physics - Theory · Physics 2016-05-16 Willy Fischler , Sandipan Kundu

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…

High Energy Physics - Theory · Physics 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

Symmetries are ubiquitous in modern physics. They not only allow for a more simplified description of physical systems but also, from a more fundamental perspective, can be seen as determining a theory itself. In the present paper, we…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Níckolas de Aguiar Alves , Andre G. S. Landulfo

We generalize the formulation of horizon symmetries presented in previous literature to include diffeomorphisms that can shift the location of the horizon. In the context of the AdS/CFT duality, we show that horizon symmetries can be…

High Energy Physics - Theory · Physics 2024-09-10 Maria Knysh , Hong Liu , Natalia Pinzani-Fokeeva

Near Horizon Extremal Geometries (NHEG), are geometries which may appear in the near horizon region of the extremal black holes. These geometries have $SL(2,\mathbb{R})\!\times\!U(1)^n$ isometry, and constitute a family of solutions to the…

General Relativity and Quantum Cosmology · Physics 2015-09-15 Kamal Hajian

A new framework is proposed for general dynamic wormholes, unifying them with black holes. Both are generically defined locally by outer trapping horizons, temporal for wormholes and spatial or null for black and white holes. Thus wormhole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

We study the numerical implementation of a set of boundary conditions derived from the isolated horizon formalism, and which characterize a black hole whose horizon is in quasi-equilibrium. More precisely, we enforce these geometrical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. L. Jaramillo , M. Ansorg , F. Limousin

We comprehensively study Galilean and Carrollian hydrodynamics on arbitrary backgrounds, in the presence of a matter/charge conserved current. For this purpose, we follow two distinct and complementary paths. The first is based on local…

High Energy Physics - Theory · Physics 2022-09-22 Anastasios C. Petkou , P. Marios Petropoulos , David Rivera Betancour , Konstantinos Siampos

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

We show that it is possible to obtain a picture of equilibrium thermodynamics on the apparent horizon in the expanding cosmological background for a wide class of modified gravity theories with the Lagrangian density $f(R, \phi, X)$, where…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Kazuharu Bamba , Chao-Qiang Geng , Shinji Tsujikawa

Several sets of radially propagating null congruence generators are exploited in order to form 3-dimensional marginally trapped surfaces, referred to as black hole and cosmological apparent horizons in a Horava universe. Based on this…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Mohsen Fathi , Morteza Mohseni

The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luca Lusanna , Massimo Pauri

The arena normally used in black holes thermodynamics was recently generalized to incorporate a broad class of physically interesting situations. The key idea is to replace the notion of stationary event horizons by that of `isolated…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Abhay Ashtekar

Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the…

High Energy Physics - Theory · Physics 2026-01-13 Kedar S. Kolekar , Taniya Mandal , Ashish Shukla , Pushkar Soni

Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in…

High Energy Physics - Theory · Physics 2023-12-19 Lionel Mason , Romain Ruzziconi , Akshay Yelleshpur Srikant

The membrane paradigm posits that black hole microstates are dynamical degrees of freedom associated with a physical membrane vanishingly close to the black hole's event horizon. The soft hair paradigm postulates that black holes can be…

High Energy Physics - Theory · Physics 2018-12-19 D. Grumiller , M. M. Sheikh-Jabbari
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