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In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

广义相对论与量子宇宙学 · 物理学 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

We compute the shear and bulk viscosities, as well as the thermal conductivity of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2+1 space-time dimensions. The relativistic Boltzmann equation is taken in the…

统计力学 · 物理学 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann

The theory of gauge transformations in linearized gravitation is investigated. After a brief discussion of the fundamentals of the kinetic theory in curved spacetime, the Einstein-Vlasov-Maxwell system of equations in terms of gauge…

等离子体物理 · 物理学 2024-08-06 Lucas Bourscheidt , Fernando Haas

We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions…

高能物理 - 理论 · 物理学 2010-11-19 Youngjai Kiem , Dahl Park

We study exact solutions of the Einstein-Maxwell equations for the interior gravitational field of static spherically symmetric charged compact spheres. The spheres consist of an anisotropic fluid with a charge distribution that gives rise…

广义相对论与量子宇宙学 · 物理学 2022-02-18 Krsna Dev

In this paper we introduce a new method to study the influence of thermal conduction and viscous processes in anisotropic gravitational collapse. To this end we employ the HJR method to solve the Einstein equations. The Maxwell-Cattaneo…

天体物理学 · 物理学 2008-11-26 Justino Martinez

A relativistic gas in a Schwarzschild metric is studied within the framework of a relativistic Boltzmann equation in the presence of gravitational fields, where Marle's model for the collision operator of the Boltzmann equation is employed.…

广义相对论与量子宇宙学 · 物理学 2013-09-17 Gilberto M. Kremer

In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are subjected to a given time-dependent shear rate. In the…

偏微分方程分析 · 数学 2007-05-23 Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris

We study the junction condition relating the pressure to the heat flux at the boundary of a shearing and expanding spherically symmetric radiating star when the fluid particles are travelling in geodesic motion. The Lie symmetry generators…

广义相对论与量子宇宙学 · 物理学 2015-06-23 G. Z. Abebe , S. D. Maharaj , K. S. Govinder

We investigate spherically symmetric cosmological models in Einstein-aether theory with a tilted (non-comoving) perfect fluid source. We use a 1+3 frame formalism and adopt the comoving aether gauge to derive the evolution equations, which…

广义相对论与量子宇宙学 · 物理学 2015-12-08 Alan A. Coley , Genly Leon , Patrik Sandin , Joey Latta

We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the polyconvex elastodynamics of hyperelastic bodies using…

偏微分方程分析 · 数学 2021-04-27 Sébastien Boyaval , Mark Dostalík

The experimentally observed temperature-dependent shear and bulk viscosities of the quark-gluon plasma (QGP), along with its apparent violation of the Kovtun-Son-Starinets (KSS) bound $\eta/s=1/(4\pi)$, necessitate a holographic description…

高能物理 - 理论 · 物理学 2025-08-05 Chenwei Tong , Rohit Mishra , Yanqi Wang , Song He

A class of exact solutions for the Einstein-Maxwell field equations are obtained by assuming the erstwhile cosmological constant $ \Lambda $ to be a space-variable scalar, viz., $ \Lambda =\Lambda(r) $. The source considered here is static,…

广义相对论与量子宇宙学 · 物理学 2011-03-04 R. N. Tiwari , Saibal Ray , Sumana Bhadra

It is shown how to generate three-dimensional Einstein-Maxwell fields from known ones in the presence of a hypersurface-orthogonal non-null Killing vector field. The continuous symmetry group is isomorphic to the Heisenberg group including…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Daisuke Ida , Yoshiyuki Morisawa

The gauge-theoretical method introduced in our previous paper is applied to solve the axisymmetric and static Einstein-Maxwell equations. We obtain the solutions of the non-Weyl class, where the gravitational and electric or magnetic…

广义相对论与量子宇宙学 · 物理学 2025-12-24 Takahiro Azuma , Takao Koikawa

We perform a systematic study of rotating charged fluids, and extend several well known theorems regarding static Weyl-type systems which were recently compiled by Lemos and Zanchin [Phys. Rev. D 80, 024010 (2009)] to rotating and…

广义相对论与量子宇宙学 · 物理学 2023-10-04 Marcos L. W. Basso , Vilson T. Zanchin

In this paper we develop two models for the steady states and evolution of two dimensional isothermal self gravitating and rotating incompressible gas which are based on the hydrodynamic equations for stratified fluid. The first model is…

地球与行星天体物理 · 物理学 2015-04-14 Mayer Humi , Zilu Tian

We expand previous work on an inverse approach to Einstein Field Equations where we include fluids with energy flux and consider the vanishing of the anisotropic stress tensor. We consider the approach using warped product spacetimes of…

广义相对论与量子宇宙学 · 物理学 2011-02-01 James Richardson , Mustapha Ishak

We revisit the boundary dynamics of asymptotically flat, three dimensional gravity. The boundary is governed by a momentum conservation equation and an energy conservation equation, which we interpret as fluid equations, following the…

高能物理 - 理论 · 物理学 2018-02-14 Robert F. Penna

Isotropic and spatially homogeneous viscous fluid cosmological models are investigated using the truncated Israel-Stewart theory of irreversible thermodynamics to model the bulk viscous pressure. The governing system of differential…

广义相对论与量子宇宙学 · 物理学 2010-04-06 A A Coley , R J van den Hoogen