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Einstein equations projected on black-hole horizons give rise to the equations of motion of a viscous fluid. This suggests a way to understand the microscopic degrees of freedom on the black-hole horizon by focusing on the physics of this…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Swastik Bhattacharya , S. Shankaranarayanan

In this paper we analyze the effect of the massive deformation of the ABJM model on the calculation of conductivity of the dual theory. We show that some of the difficulties presented by the dual geometry, in particular the construction of…

High Energy Physics - Theory · Physics 2015-06-16 Cristhiam Lopez-Arcos , Horatiu Nastase , Francisco Rojas , Jeff Murugan

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

Einstein-Maxwell-Gauss-Bonnet-axion theory in $4$-dimensional spacetime is investigated in this paper through a "Kaluza-Klein-like" process. Dual to systems at finite temperature with background magnetic field on three dimensions, the…

High Energy Physics - Theory · Physics 2021-05-04 Yi-Li Wang , Xian-Hui Ge

We investigate traversable wormhole solutions in four-dimensional Einstein-Gauss-Bonnet (EGB) gravity sourced by a smoothed string fluid. Originally proposed to model regular black holes, this energy density profile is adapted here to…

General Relativity and Quantum Cosmology · Physics 2026-01-19 C. R. Muniz , M. S. Cunha , L. C. N. Santos

We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general…

High Energy Physics - Theory · Physics 2013-10-09 Shira Chapman , Yasha Neiman , Yaron Oz

In this work we study the statistical and thermodynamic properties of the horizon fluid corresponding to the Boulware-Deser (BD) black hole of Einstein-Gauss-Bonnet (EGB) gravity. Using mean field theory, we show explicitly that the BD…

General Relativity and Quantum Cosmology · Physics 2016-07-20 J. L. López , Swastik Bhattacharya , S. Shankaranarayanan

We consider five-dimensional AdS-axion-dilaton gravity with a Gauss-Bonnet term and find a solution of the equations of motion which corresponds to a black brane exhibiting a spatial anisotropy, with the source of the anisotropy being an…

High Energy Physics - Theory · Physics 2015-01-23 Viktor Jahnke , Anderson Seigo Misobuchi , Diego Trancanelli

In the context of the so called ``membrane paradigm'' of black holes/branes, it has been known for sometime that the dynamics of small fluctuations on the stretched horizon can be viewed as corresponding to diffusion of a conserved charge…

High Energy Physics - Theory · Physics 2007-05-23 Omid Saremi

Penrose suggested that issues with the origin of the second law of thermodynamics and the remarkable homogeneous and isotropic nature of the universe on large scales can be resolved with a concept of an entropy for gravitational fields…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Taha A Malik , Rafael Lopez-Mobilia

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

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

For many years researchers have tried to glean hints about quantum gravity from black hole thermodynamics. However, black hole thermodynamics suffers from the problem of Universality --- at leading order, several approaches with different…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Bethan Cropp , Swastik Bhattacharya , S. Shankaranarayanan

We investigate the thermodynamics of static black objects such as black holes, black strings and their generalizations to D dimensions (`black branes') in a gravitational theory containing the four dimensional Gauss-Bonnet term in the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Sahabandu , P. Suranyi , C. Vaz , L. C. R. Wijewardhana

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…

High Energy Physics - Theory · Physics 2010-11-19 M. Cvitan , S. Pallua , P. Prester

We study the membrane paradigm for horizons in Lanczos-Lovelock models of gravity in arbitrary D dimensions and find compact expressions for the pressure p and viscosity coefficients \eta and \zeta of the membrane fluid. We show that the…

General Relativity and Quantum Cosmology · Physics 2012-02-27 Sanved Kolekar , Dawood Kothawala

Recent works have demonstrated that one can construct a (d+2) dimensional solution of the vacuum Einstein equations that is dual to a (d+1) dimensional fluid satisfying the incompressible Navier-Stokes equations. In one important example,…

High Energy Physics - Theory · Physics 2011-08-05 Goffredo Chirco , Christopher Eling , Stefano Liberati

We derive the effective equations of the membranes dual to black holes in a particular theory of higher derivative gravity namely Einstein-Gauss-Bonnet (EGB) gravity at sub-leading order in $1/D$ upto linear order in the Gauss-Bonnet (GB)…

High Energy Physics - Theory · Physics 2020-03-18 Yogesh Dandekar , Arunabha Saha

In order to better describe gravitational phenomena on both very small and cosmological scales, there have been constant attempts to generalize and expand the theory of General Relativity (GR) since its inception. The Einstein Gauss Bonnet…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Sara Saghafi , Kourosh Nozari , Maryam Kaveh

In this paper we study the higher dimensional homogeneous and isotropic perfect fluid spacetimes in Einstein-Gauss-Bonnet (EGB) gravity. We solve the modified field equations with higher order curvature terms to determine the evolution of…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Aavishkar Madhunlall , Chevarra Hansraj , Rituparno Goswami , Sunil D. Maharaj