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In the membrane paradigm of black holes, it is usually assumed that the normal vector of the stretched horizon has a vanishing acceleration. This assumption breaks down for black bottles, a class of solutions discovered recently in the…

General Relativity and Quantum Cosmology · Physics 2017-10-03 Li Li , Towe Wang

The membrane paradigm of black holes is an effective theory that replaces the event horizon with a fictitious yet tangible fluid. It has provided us with valuable insights, especially in understanding the environment of black holes. The…

General Relativity and Quantum Cosmology · Physics 2025-07-17 Cagdas Ulus Agca , Bayram Tekin

The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm's law and the Navier-Stokes equation. It has…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Maulik K. Parikh , Frank Wilczek

We construct the membrane paradigm for black objects in Einstein-Gauss-Bonnet gravity in spacetime dimensions $ \ge 5$. As in the case of general relativity, the horizon can be modeled as a membrane endowed with fluidlike properties. We…

General Relativity and Quantum Cosmology · Physics 2017-04-17 Ted Jacobson , Arif Mohd , Sudipta Sarkar

To an outside observer, a black hole's event horizon appears to behave exactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in general $f(R)$ theories of gravity. We derive the stress tensor and various…

High Energy Physics - Theory · Physics 2015-05-20 Saugata Chatterjee , Maulik Parikh , Sudipta Sarkar

The membrane paradigm approach adopts a timelike surface, stretched out off the null event horizon, to study several important black hole properties. We use this powerful tool to give a direct derivation of the black hole mass formula in…

General Relativity and Quantum Cosmology · Physics 2018-03-28 José P. S. Lemos , Oleg B. Zaslavskii

Black hole membrane paradigm suggests to consider the black hole horizon as a fluid membrane. The membrane has a particular energy-momentum tensor which characterizes the interactions with the falling matter. In this paper, we show that we…

High Energy Physics - Theory · Physics 2022-11-03 Jingbo Wang

In this paper we aim to provide new examples of the application and the generality of the membrane paradigm. The membrane paradigm is a formalism for studying the event horizon of black holes. After analyzing it with some technical details…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Tower Wang

We find the membrane equations which describe the leading order in $1/D$ dynamics of black holes in the $D\rightarrow\infty$ limit for the most general four-derivative theory of gravity in the presence of a cosmological constant. We work up…

High Energy Physics - Theory · Physics 2019-09-04 Aditya Kar , Taniya Mandal , Arunabha Saha

The membrane paradigm approach to black holes fixes in the vicinity of the event horizon a fictitious surface, the stretched horizon, so that the spacetime outside remains unchanged and the spacetime inside is vacuum. Using this powerful…

General Relativity and Quantum Cosmology · Physics 2015-05-30 José P. S. Lemos , Oleg B. Zaslavskii

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

This thesis addresses some classical and semi-classical aspects of black holes using an effective membrane representation of the event horizon. The classical "membrane paradigm" equations are derived from an underlying action formulation,…

High Energy Physics - Theory · Physics 2007-05-23 Maulik K. Parikh

Dynamical Chern-Simons gravity is an extension of General Relativity in which the gravitational field is coupled to a scalar field through a parity-violating Chern-Simons term. In this framework, we study perturbations of spherically…

General Relativity and Quantum Cosmology · Physics 2013-12-04 C. Molina , Paolo Pani , Vitor Cardoso , Leonardo Gualtieri

Dynamical Chern-Simons gravity has an interesting feature that the parity violating term exists, and the coupling is determined by a dynamical scalar field. When the spacetime has spherical symmetry, the parity violating term vanishes, and…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Masashi Kimura

The membrane paradigm approach to black hole physics introduces the notion of a stretched horizon as a fictitious time-like surface endowed with physical characteristics such as entropy, viscosity and electrical conductivity. We show that…

High Energy Physics - Theory · Physics 2009-01-16 A. O. Starinets

Black hole membrane paradigm states that a certain viscous membrane seems to be sitting on a stretched horizon of a black hole from the viewpoint of a distant observer. We show that the shear viscosity of the fictitious membrane can be…

High Energy Physics - Theory · Physics 2011-02-25 Yuya Sasai , Ali Zahabi

We consider the membrane viewpoint a l\`a Parikh-Wilczek on the Kerr solution for a rotating black hole. Computing the stress-energy tensor of a close-to-the-horizon stretched membrane and comparing it to the stress-tensor of a viscous…

High Energy Physics - Theory · Physics 2023-01-05 A. M. Arslanaliev , A. J. Nurmagambetov

We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken by…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Simon Boudet , Flavio Bombacigno , Gonzalo J. Olmo , Paulo J. Porfirio

According to the formulation of the charged large $D$ membrane paradigm, an arbitrary dynamic black hole solution to a theory of gravity with a $U(1)$ gauge field is dual to the dynamics of a membrane in a non-gravitational background. This…

High Energy Physics - Theory · Physics 2026-05-18 Supratim Halder , Manu Kurian , Mangesh Mandlik

The stationary black hole solution of a Chern-Simons model based on the semi-simple extension of the Poincar\'e gauge group is studied. The solution resembles the metric properties of the BTZ geometry but contains, in addition,…

General Relativity and Quantum Cosmology · Physics 2023-08-21 Luis Avilés , Diego Hidalgo , Omar Valdivia
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