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We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological…

广义相对论与量子宇宙学 · 物理学 2017-01-20 Mustapha Azreg-Aïnou

It is easy to reason that gravity might be the effect of a fluid in disguise, as it will naturally arise in emergent gravity models where gravity is due to the effect of some fundamental particles, with the latter expected to behave…

广义相对论与量子宇宙学 · 物理学 2023-01-16 Jianwei Mei

Ho\v{r}ava gravity has been proposed as a renormalizable, higher-derivative gravity without ghost problems, by considering different scaling dimensions for space and time. In the non-relativistic higher-derivative generalization of Einstein…

高能物理 - 理论 · 物理学 2017-10-10 Carlos Argüelles , Nicolás Grandi , Mu-In Park

Equations of fully general relativistic radiation hydrodynamics around a rotating black hole are derived by using the Kerr-Schild coordinate where there is no coordinate singularity at the event horizon. Since the radiation interacts with…

天体物理学 · 物理学 2009-11-13 Rohta Takahashi

We analyze the steady radial accretion of matter into a nonrotating black hole. Neglecting the self-gravity of the accreting matter, we consider a rather general class of static, spherically symmetric and asymptotically flat background…

广义相对论与量子宇宙学 · 物理学 2015-08-06 Eliana Chaverra , Olivier Sarbach

The fluid-gravity correspondence is a duality between anti-de Sitter Einstein gravity and a relativistic fluid living at the conformal boundary. We show that one can accommodate the causal first-order viscous hydrodynamics recently…

高能物理 - 理论 · 物理学 2024-01-18 Luca Ciambelli , Luis Lehner

We consider the fluid dual of $(d+2)$-dimensional vacuum Einstein equation either with or without a cosmological constant. The background solutions admit black hole event horizons and the spatial sections of the horizons are conformally…

高能物理 - 理论 · 物理学 2015-06-23 Xin Hao , Bin Wu , Liu Zhao

We consider a singular limit problem for the Navier-Stokes system of a rotating compressible fluid, where the Rossby and Mach numbers tend simultaneously to zero. The limit problem is identified as the 2-D Navier-Stokes system in the…

偏微分方程分析 · 数学 2010-09-10 Eduard Feireisl , Isabelle Gallagher , Antonin Novotny

We consider the relativistic hydrodynamics of non-perfect fluids with the goal of determining a formulation that is suited for numerical integration in special-relativistic and general-relativistic scenarios. To this end, we review the…

广义相对论与量子宇宙学 · 物理学 2023-02-27 Michail Chabanov , Luciano Rezzolla , Dirk H. Rischke

We introduce a formulation of Eulerian general relativistic hydrodynamics which is applicable for (perfect) fluid data prescribed on either spacelike or null hypersurfaces. Simple explicit expressions for the characteristic speeds and…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Philippos Papadopoulos , Jose A. Font

We study spherically symmetric geometries made of anisotropic perfect fluid based on general relativity. The purpose of the work is to find and classify black hole solutions in closed spacetime. In a general setting, we find that a static…

广义相对论与量子宇宙学 · 物理学 2017-10-04 Hyeong-Chan Kim

We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity. It is shown that the isentropic flow of the fluid is equivalent to a radial component of…

高能物理 - 理论 · 物理学 2012-08-06 Rong-Gen Cai , Li Li , Zhang-Yu Nie , Yun-Long Zhang

We investigate models of stationary, selfgravitating, perfect-fluid tori (disks) rotating around black holes, focusing on geometric properties of spacetime. The models are constructed within the general-relativistic hydrodynamics, assuming…

广义相对论与量子宇宙学 · 物理学 2020-02-26 Wojciech Dyba , Wojciech Kulczycki , Patryk Mach

We study spherically symmetric static spacetimes generally filled with an anisotropic fluid in the nonrelativistic general covariant theory of gravity. In particular, we find that the vacuum solutions are not unique, and can be expressed in…

高能物理 - 理论 · 物理学 2011-01-27 Jared Greenwald , V. H. Satheeshkumar , Anzhong Wang

We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled…

广义相对论与量子宇宙学 · 物理学 2017-04-25 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

We examine the motion and tidal dynamics of a nonrotating black hole placed within a post-Newtonian external spacetime. The tidal perturbation created by the external environment is treated as a small perturbation. At a large distance from…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Stephanne Taylor , Eric Poisson

On the premise of the importance of energy conditions for regular black holes, we propose a method to remedy those models that break the dominant energy condition, e.g., the Bardeen and Hayward black holes. We modify the metrics but ensure…

广义相对论与量子宇宙学 · 物理学 2023-04-14 Chen Lan , Yan-Gang Miao , Yi-Xiong Zang

We introduce a new phase field model for binary mixtures of incompressible micropolar fluids, which are among the simplest categories of fluids exhibiting internal rotations. The model fulfils local and global dissipation inequalities so…

偏微分方程分析 · 数学 2025-05-01 Kin Shing Chan , Baoli Hao , Kei Fong Lam , Björn Stinner

We consider the viscous incompressible fluids in a three-dimensional horizontally periodic domain bounded below by a fixed smooth boundary and above by a free moving surface. The fluid dynamics are governed by the Navier-Stokes equations…

偏微分方程分析 · 数学 2024-04-30 Xing Cheng , Yunrui Zheng

We study a system of nonlinear partial differential equations describing the unsteady motions of incompressible chemically reacting non-Newtonian fluids. The system under consideration consists of the generalized Navier-Stokes equations…

偏微分方程分析 · 数学 2020-05-27 Seungchan Ko