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Um fluido em movimento pode agir sobre o som da mesma forma que os espa\c{c}o-tempos curvos podem influenciar na trajet\'oria da luz na relatividade geral. Com isso, pode-se descrever a propaga\c{c}\~ao dessas ondas sonoras atrav\'es de uma…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Júnior Diniz Toniato

The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop…

广义相对论与量子宇宙学 · 物理学 2024-01-08 Emmanuele Battista

We address the spherical accretion of generic fluids onto black holes. We show that, if the black hole metric satisfies certain conditions, in the presence of a test fluid it is possible to derive a fully relativistic prescription for the…

广义相对论与量子宇宙学 · 物理学 2012-08-07 Daniel C. Guariento , J. E. Horvath

This talk gives an overview of the recently-formulated Fluid/Gravity correspondence, which was developed in the context of gauge/gravity duality. Mathematically, it posits that Einstein's equations (with negative cosmological constant) in…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Veronika E. Hubeny

For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms with first-order or second-order of accuracy. We treat both the relativistic…

数值分析 · 数学 2021-04-27 Philippe G. LeFloch , Carlos Parés , Ernesto Pimentel-García

We study the dynamical behavior of compressible fluids evolving on the outer domain of communication of a Schwarzschild background. To this end, we design several numerical methods which take the Schwarzschild geometry into account and we…

偏微分方程分析 · 数学 2016-12-30 Philippe G. LeFloch , Shuyang Xiang

The equations governing general relativistic, spherically symmetric, hydrodynamic accretion of polytropic fluid onto black holes are solved in Schwarzschild metric to investigate some of the transonic properties of the flow. Only stationary…

天体物理学 · 物理学 2008-11-26 Tapas Kumar Das

The irrotational vortex geometry carachter of torsion loops is displayed by showing that torsion loops and nonradial flow acoustic metrics are conformally equivalent in $(1+1)$ dimensions while radial flow acoustic spacetime are conformally…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. C. Garcia de Anddrade

Condensed matter systems, such as acoustics in flowing fluids, light in moving dielectrics, or quasiparticles in a moving superfluid, can be used to mimic aspects of general relativity. More precisely these systems (and others) provide…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Matt Visser , Carlos Barcelo , Stefano Liberati

In this paper we derive a general expression for the acoustic Casimir pressure between two parallel slabs made of arbitrary materials and whose acoustic reflection coefficients are not equal. The formalism is based on the calculation of the…

量子物理 · 物理学 2016-09-08 J. Barcenas , L. Reyes , R. Esquivel-Sirvent

It is a deceptively simple question to ask how acoustic disturbances propagate in a non-homogeneous flowing fluid. This question can be answered by invoking the language of Lorentzian differential geometry: If the fluid is barotropic and…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Matt Visser

We study spherical and nonspherical linear acoustic perturbations of the Michel flow, which describes the steady radial accretion of a perfect fluid into a nonrotating black hole. The dynamics of such perturbations are governed by a scalar…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Eliana Chaverra , Manuel D. Morales , Olivier Sarbach

In recent years, strong analogies have been established between the physics of acoustic perturbations in an inhomogeneous dynamical fluid system, and some kinematic features of space-time in general relativity. An effective metric, referred…

天体物理学 · 物理学 2007-06-27 Tapas Kumar Das

Formulating a perfect fluid filled spherically symmetric metric utilizing the 3+1 formalism for general relativity, we show that the metric coefficients are completely determined by the mass-energy distribution, and its time rate of change…

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. D. Lasky , A. W. C. Lun

The acoustic fields and streaming in a confined fluid depend strongly on the acoustic boundary layer forming near the wall. The width of this layer is typically much smaller than the bulk length scale set by the geometry or the acoustic…

流体动力学 · 物理学 2018-08-29 Jacob S. Bach , Henrik Bruus

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

The purpose of this article is to introduce and study a relativistic motion whose acceleration, in proper time, is given by a white noise. We deal with general relativity, and consider more closely the problem of the asymptotic behaviour of…

概率论 · 数学 2007-05-23 Jacques Franchi , Yves Le Jan

We consider a large black hole in asymptotically AdS spacetime of arbitrary dimension with a Minkowski boundary. By performing an appropriate slicing as we approach the boundary, we obtain via holographic renormalization a gauge theory…

高能物理 - 理论 · 物理学 2008-11-26 James Alsup , George Siopsis

We derive a new acoustic black hole metric from the Abelian Higgs model. In the non-relativistic limit, while the Abelian Higgs model becomes the Ginzburg-Landau model, the metric reduces to an ordinary Unruh type. We investigate the…

高能物理 - 理论 · 物理学 2014-11-20 Xian-Hui Ge , Sang-Jin Sin

The present paper is based on a previous work (involving two of the present authors) where a generalized fluid dynamical model was proposed. The underlying symplectic structure of the Lagrangian discrete degrees of freedom obeyed a…

广义相对论与量子宇宙学 · 物理学 2023-06-23 Deeshani Mitra , Surojit Dalui , Subir Ghosh , Arpan Krishna Mitra