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We present a versatile density functional approach (DFT) for calculating the depletion potential in general fluid mixtures. In contrast to brute force DFT, our approach requires only the equilibrium density profile of the small particles…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , R. Evans , S. Dietrich

The investigation of gravity in higher-dimensional spacetime has transitioned from a mathematical curiosity to a fundamental framework in theoretical physics, catalyzed by the dimensional requirements of String theory and M-theory. In this…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Chen-Hao Hao , Jiliang Jing , Jieci Wang

An explicit fluid flow simulation of electromagnetic wave propagation in the gravitational field of a Schwarzschild black hole is given. The fluid has a constant refractive index and a spherically symmetric inward directed flow. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kjell Rosquist

We study the Dirichlet problem associated to the equation for self-similar surfaces for graphs over the Euclidean plane with a disk removed. We show the existence of a solution provided the boundary conditions on the boundary circle are…

Differential Geometry · Mathematics 2019-09-19 Xuan Hien Nguyen

Supposing the existence of modified Chaplygin gas with the equation of state $p=A\rho-B/\rho^\beta$ as a cosmic background, we obtain a static spherically-symmetric solution to the Einstein-Gauss-Bonnet gravitational equations in 5D…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Xiang-Qian Li , Bo Chen , Li-Li Xing

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We discuss recent developments in the hydrodynamic description of strongly coupled conformal field theories using the AdS/CFT correspondence. In particular, we review aspects of the fluid-gravity correspondence which provides a map between…

High Energy Physics - Theory · Physics 2009-11-09 Mukund Rangamani

We develop the pole-skipping structure in de Sitter (dS) spacetime and find that their leading frequencies satisfy the relation $\omega_{dS}=i2\pi T_{dS}(1-s)$, where $T_{dS}=1/2\pi L$ and $s$ denotes spin. In the two-dimensional dS…

High Energy Physics - Theory · Physics 2025-07-22 Haiming Yuan , Xian-Hui Ge , Keun-Young Kim

We continue our study in 4-dimension to derive non-charged and charged (Anti)-de Sitter black hole solutions in conformal teleparallel equivalent of general relativity. The non-charged and charged equations of motion are applied to a…

General Relativity and Quantum Cosmology · Physics 2020-03-26 G. G. L. Nashed , Kazuharu Bamba

We study the dynamics of a spherically symmetric thin shell of perfect fluid embedded in d-dimensional Anti-de Sitter space-time. In global coordinates, besides collapsing solutions, oscillating solutions are found where the shell bounces…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Javier Mas , Alexandre Serantes

In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the…

High Energy Physics - Theory · Physics 2013-07-26 Bobby E. Gunara , Freddy P. Zen , Fiki T. Akbar , Agus Suroso , Arianto

Correspondences between black holes and fluids have been discussed in two different frameworks, the Fluid/Gravity correspondence and membrane paradigm. Recently, it has been discussed that these two theories can be understood as the same…

High Energy Physics - Theory · Physics 2014-02-26 Yoshinori Matsuo , Yuya Sasai

A four-dimensional black hole solution of the Einstein equations with a positive cosmological constant, coupled to a conformal scalar field, is given. There is a curvature singularity at the origin, and scalar field diverges inside the…

High Energy Physics - Theory · Physics 2009-11-07 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme…

High Energy Physics - Theory · Physics 2010-10-28 Sergey N. Solodukhin

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. General formulas are found in many cases. Explicit new global solutions are given as illustrations. Known solutions…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. V. Ivanov

We revisit and improve the analytic study arXiv:1804.03462 of spherically symmetric but dynamical black holes in Einstein's gravity coupled to a real scalar field. We introduce a series expansion in a small parameter $\epsilon$ that…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Aaron Beyen , Efe Hamamcı , Kasper Meerts , Dieter Van den Bleeken

We use the AdS/CFT correspondence to argue that large rotating black holes in global AdS(D) spaces are dual to stationary solutions of the relativistic Navier-Stokes equations on S**(D-2). Reading off the equation of state of this fluid…

High Energy Physics - Theory · Physics 2009-09-29 Sayantani Bhattacharyya , Subhaneil Lahiri , R. Loganayagam , Shiraz Minwalla

We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological scale is taken to be much larger than the transverse horizon size. This includes a class of…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas , Niels A. Obers

We consider the most general dilaton gravity theory in 1+1 dimensions. By suitably parametrizing the metric and scalar field we find a simple expression that relates the energy of a generic solution to the magnitude of the corresponding…

General Relativity and Quantum Cosmology · Physics 2016-08-24 J. Gegenberg , G. Kunstatter , D. Louis-Martinez

Dilaton-axion gravity with $p U(1)$ vector fields is studied on space-times admitting a timelike Killing vector field. Three-dimensional sigma-model is derived in terms of K\"ahler geometry, and holomorphic representation of the SO(2,2+p)…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. V. Gal'tsov , P. S. Letelier