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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

Recently we have shown [1604.08812] how to formulate a thermodynamic first law for a single (charged) accelerated black hole in AdS space by fixing the conical deficit angles present in the spacetime. Here we show how to generalise this…

High Energy Physics - Theory · Physics 2017-08-23 Michael Appels , Ruth Gregory , David Kubiznak

Supposing the existence of Dark Fluid with a Chaplygin-like equation of state $p=-B/\rho$ (CDF) as a cosmic background, we obtain a static spherically-symmetric black hole (BH) solution to the Einstein gravitational equations. We study the…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Xiang-Qian Li , Hao-Peng Yan , Li-Li Xing , Shi-Wei Zhou

We present results from the evolution of spacetimes that describe the merger of asymptotically global AdS black holes in 5D with an SO(3) symmetry. Prompt scalar field collapse provides us with a mechanism for producing distinct trapped…

High Energy Physics - Theory · Physics 2015-03-05 Hans Bantilan , Paul Romatschke

In this paper, we derive a black hole solution within the Einstein Maxwell framework incorporating a nonminimal coupling between the Ricci tensor and the Maxwell field strength tensor, using a perturbative approach. We subsequently explore…

High Energy Physics - Theory · Physics 2026-05-25 Mehdi Sadeghi , Faramarz Rahmani

We undertake the task of studying the non-linear dynamics of quantum gravity motivated alternatives to black holes that in the classical limit appear as ultra-compact shells of matter. We develop a formalism that should be amenable to…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Ulf Danielsson , Luis Lehner , Frans Pretorius

Implementing the concept of Dark Fluid with a Chaplygin-like equation of state within General Relativity, we construct a new higher-dimensional, static, and spherically symmetric anti-de Sitter (AdS) black hole solution. Energy conditions…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Y. Sekhmani , G. G. Luciano , J. Rayimbaev , M. K. Jasim , A. Al-Badawi , S. K. Maurya

We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the…

High Energy Physics - Theory · Physics 2011-08-23 Nabamita Banerjee , Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Suvankar Dutta , R. Loganayagam , P. Surówka

The thermodynamics of the Schwarzschild-AdS black hole is reformulated within the context of the recently developed formalism of geometrothermodynamics (GTD). Different choices of the metric in the equilibrium states manifold are used in…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Alexis Larranaga , Alejandro Cardenas

The long-wavelength effective field theory of world-volume fluctuations of black D3-branes is shown to be a hydrodynamical system to leading order in a gradient expansion. We study the system on a fiducial `cutoff' surface: the fluctuating…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Veronika E Hubeny , Mukund Rangamani

The effective action associated with the trace anomaly provides a general algorithm for approximating the expectation value of the stress tensor of conformal matter fields in arbitrary curved spacetimes. In static, spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul R. Anderson , Emil Mottola , Ruslan Vaulin

We establish a new criterion for the dynamical stability of black holes in $D \geq 4$ spacetime dimensions in general relativity with respect to axisymmetric perturbations: Dynamical stability is equivalent to the positivity of the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Stefan Hollands , Robert M. Wald

We generalise the computations of arXiv:0712.2456 to generate long wavelength, asymptotically locally AdS_5 solutions to the Einstein-dilaton system with a slowly varying boundary dilaton field and a weakly curved boundary metric. Upon…

High Energy Physics - Theory · Physics 2009-02-09 Sayantani Bhattacharyya , R. Loganayagam , Shiraz Minwalla , Suresh Nampuri , Sandip P. Trivedi , Spenta R. Wadia

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

Hawking radiation elucidates black holes as quantum thermodynamic systems, thereby establishing a conceptual bridge between general relativity and quantum mechanics through particle emission phenomena. While conventional theoretical…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Cheng Hu , Xiao-Xiong Zeng

It has been suggested in the literature that, given a black hole spacetime, a relativistic membrane can provide an effective description of the horizon dynamics. In this paper, we explore such a framework in the context of a 2+1-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. J. M. Medved

In this note, we derive (to third order in derivatives of the fluid velocity) a 2+1 dimensional theory of fluid dynamics that governs the evolution of generic long-wavelength perturbations of a black brane or large black hole in…

High Energy Physics - Theory · Physics 2009-12-15 Mark Van Raamsdonk

We consider the effective theory of the large D stationary black hole. By solving Einstein equation with a cosmological constant using the 1/D expansion in near zone of a black hole we obtain the effective equation for the stationary black…

High Energy Physics - Theory · Physics 2015-10-09 Ryotaku Suzuki , Kentaro Tanabe

A family of deformed AdS$_5$-Schwarzschild black branes is here derived, employing the membrane paradigm of AdS/CFT. The solution of the Einstein-Hilbert action, with the Gibbons-Hawking term and a counter-term that eliminates eventual…

High Energy Physics - Theory · Physics 2020-06-15 A. J. Ferreira-Martins , P. Meert , R. da Rocha

We investigate the motion of a massive particle around a spherically symmetric black hole surrounded by a stationary and radial inflow of perfect fluid. The background spacetime is modelled as a spherically symmetric solution to the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Ariadna Uxue Palomino Ylla , Yasutaka Koga , Chul-Moon Yoo