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In this paper, we study the thermodynamic behavior of charged AdS black holes in higher-dimensional spacetimes within the framework of conformal holographic extended thermodynamics. This formalism is based on a novel AdS/CFT dictionary in…

High Energy Physics - Theory · Physics 2025-10-31 Yahya Ladghami , Taoufik Ouali

We review and clarify ideas proposed many years ago for understanding cosmology in a holographic framework. The basic strategy is to use Jacobson's\cite{ted95} identification of Einstein's equations with the hydrodynamic equations of the…

High Energy Physics - Theory · Physics 2022-08-19 T. Banks

A simple exactly solvable kinetic model for the non-linear inelastic hard sphere Boltzmann equation is used to explore the relevance of hydrodynamics for a granular gas. The equation predicts a non-trivial homogeneous cooling state (HCS),…

Soft Condensed Matter · Physics 2007-05-23 Aparna Baskaran , James W. Dufty

We study the thermodynamics of the KS black hole which is an asymptotically flat solution of the HL gravity. In particular, we introduce a cavity to describe the thermodynamics at a finite isothermal surface on general ground and to get a…

General Relativity and Quantum Cosmology · Physics 2013-01-18 Myungseok Eune , Bogeun Gwak , Wontae Kim

We study Einstein-Maxwell theory in $D \geq 3$ spacetime dimensions including all Lorentz-invariant parity-even four-derivative couplings. Building on the results of arXiv:2312.11610, we consider static, charged, asymptotically flat black…

High Energy Physics - Theory · Physics 2025-10-20 Kiril Hristov , Peng-Ju Hu , Yi Pang

The thermodynamics of Maxwell-Dilaton (dirty) black holes has been extensively studied. It has served as a fertile ground to test ideas about temperature through various definitions of surface gravity. In this paper, we make an independent…

General Relativity and Quantum Cosmology · Physics 2013-10-02 C S Lopez-Monsalvo , F Nettel , H Quevedo

The predictive accuracy of the Navier-Stokes equations is known to degrade at the limits of the continuum assumption, thereby necessitating expensive and often highly approximate solutions to the Boltzmann equation. While tractable in one…

Fluid Dynamics · Physics 2023-07-25 Ashish S. Nair , Justin Sirignano , Marco Panesi , Jonathan F. MacArt

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of…

High Energy Physics - Theory · Physics 2015-05-27 Hernando Quevedo , Alberto Sanchez , Safia Taj , Alejandro Vazquez

The existence of weak solutions to the Navier-Stokes-Fourier system describing the stationary states of a compressible, viscous, and heat conducting fluid in bounded 2D-domains is shown under fairly general and physically relevant…

Analysis of PDEs · Mathematics 2019-02-28 I. S. Ciuperca , E. Feireisl , M. Jai , A. Petrov

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

In this paper, we consider the heat-conducting compressible self-gravitating fluids in time-dependent domains, which typically describe the motion of viscous gaseous stars. The flow is governed by the 3-D Navier-Stokes-Fourier-Poisson…

Analysis of PDEs · Mathematics 2024-01-18 Kuntal Bhandari , Bingkang Huang , Šárka Nečasová

Conformal Field Theories (CFTs) are special classes of quantum field theories that find applications ranging from critical phenomena to theories of quantum gravity via holography. Understanding thermal effects in CFTs is crucial:…

High Energy Physics - Theory · Physics 2025-08-05 Alessio Miscioscia

A proposal to describe gravity duals of conformal theories with boundaries (AdS/BCFT correspondence) was put forward by Takayanagi few years ago. However interesting solutions describing field theories at finite temperature and charge…

High Energy Physics - Theory · Physics 2015-06-22 Javier M. Magán , Dmitry Melnikov , Madson R. O. Silva

We consider two hydrodynamic model problems (one incompressible and one compressible) with three dimensional fluid flow on the torus and temperature-dependent viscosity and conductivity. The ambient heat for the fluid is transported by the…

Analysis of PDEs · Mathematics 2017-02-28 Andrei Tarfulea

We construct a particular flow in the space of 2D Euclidean QFTs on a torus, which we argue is dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow comes from a Legendre transform of the…

High Energy Physics - Theory · Physics 2021-09-29 Evan Coleman , Vasudev Shyam

A system of partial differential equations for a diffusion interface model is considered for the stationary motion of two macroscopically immiscible, viscous Newtonian fluids in a three-dimensional bounded domain. The governing equations…

Analysis of PDEs · Mathematics 2020-07-28 Zhilei Liang , Dehua Wang

We discuss the holographic reconstruction of four-dimensional asymptotically anti-de Sitter Robinson-Trautman spacetime from boundary data. We use for that a resummed version of the derivative expansion. The latter involves a vector field,…

High Energy Physics - Theory · Physics 2018-04-04 Luca Ciambelli , Anastasios C. Petkou , P. Marios Petropoulos , Konstantinos Siampos

We investigate background metrics for 2+1-dimensional holographic theories where the equilibrium solution behaves as a perfect fluid, and admits thus a thermodynamic description. We introduce stationary perfect-Cotton geometries, where the…

High Energy Physics - Theory · Physics 2015-06-17 Ayan Mukhopadhyay , Anastasios C. Petkou , P. Marios Petropoulos , Valentina Pozzoli , Konstadinos Siampos

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

Recently, Ho$\breve{r}$ava proposed a non-relativistic renormalizable theory of gravity which is essentially a field theoretic model for a UV complete theory of gravity and reduces to Einstein gravity with a non-vanishing cosmological…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ritabrata biswas , Subenoy Chakraborty