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In this paper we solve the hydrodynamical equations of optically thin, steady state accretion disks around Kerr black holes. Here, fully general relativistic equations are used. We use a new method to calculate the shear tensor in the LNRF…

Astrophysics of Galaxies · Physics 2012-07-30 Mahboobe Moeen Moghaddas , Jamshid Ghanbari , Ahmad Ghodsi

The inclusion of the quantum fluctuations of the metric in the geometric action is a promising avenue for the understanding of the quantum properties of gravity. In this approach the metric is decomposed in the sum of a classical and of a…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko , Shi-Dong Liang

The motion of incompressible fractional Oldroyd-B fluids between two parallel walls perpendicular to a plate that applies time-dependent shear stresses to the fluid is studied by means of integral transforms. In the special cases of…

Fluid Dynamics · Physics 2014-08-21 Azhar Ali Zafar , Constantin Fetecau , Itrat Abbas Mirza

We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general…

High Energy Physics - Theory · Physics 2013-10-09 Shira Chapman , Yasha Neiman , Yaron Oz

Using gauge theory /string theory correspondence certain universal aspects of the strongly coupled four dimensional gauge theory hydrodynamics were established in hep-th/0311175. The analysis were performed in the framework of ``membrane…

High Energy Physics - Theory · Physics 2010-04-05 Alex Buchel

We carry out the holographic renormalization of Einstein-Maxwell theory with curvature-squared corrections. In particular, we demonstrate how to construct the generalized Gibbons-Hawking surface term needed to ensure a perturbatively…

High Energy Physics - Theory · Physics 2010-03-19 Sera Cremonini , James T. Liu , Phillip Szepietowski

The motion of compressible, inviscid fluid under the constant pressure on a rotating sphere is studied. The hodograph equations for the corresponding Euler equation are presented. They provide us with the class of solutions of the Euler…

Mathematical Physics · Physics 2026-03-09 B. G. Konopelchenko , G. Ortenzi

In this work, we consider the fluid/gravity correspondence for general rotating black holes. By using the Petrov-like boundary condition in near horizon limit, we study the correspondence between gravitational perturbation and fluid…

High Energy Physics - Theory · Physics 2015-11-30 Xiaoning Wu , Yi Yang , Pei-Hung Yuan , Chia-Jui Cho

We extend the gravitational self-force approach to encompass `self-interaction' tidal effects for a compact body of mass $\mu$ on a quasi-circular orbit around a black hole of mass $M \gg \mu$. Specifically, we define and calculate at…

General Relativity and Quantum Cosmology · Physics 2015-01-27 Sam R. Dolan , Patrick Nolan , Adrian C. Ottewill , Niels Warburton , Barry Wardell

The first order corrections to the geometry of the (2+1)-dimensional black hole due to back-reaction of a massless conformal scalar field are computed. The renormalized stress energy tensor used as the source of Einstein equations is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Cristian Martinez , Jorge Zanelli

We investigate the emergence of finite-amplitude non-zonal flows on the sphere $\mathbb{S}^2$ arising from stationary solutions to the 2D Euler equations. By restricting the Laplace-Beltrami eigenspace to the invariant subspace of the…

Analysis of PDEs · Mathematics 2026-04-14 Yuri Cacchiò

We consider an expression for the supercurrent in the superconformal formulation of N=1 supergravity. A chiral compensator provides the supersymmetric formulation of the Callan-Coleman-Jackiw (CCJ) improved stress energy tensor, when the…

High Energy Physics - Theory · Physics 2017-09-12 Sergio Ferrara , Marine Samsonyan

The dimensional reduction of (the bosonic sector of) five-dimensional minimal supergravity to four dimensions leads to a theory with a massless axion and a dilaton coupled to gravity and two U(1) gauge fields (one of which has Chern-Simons…

High Energy Physics - Theory · Physics 2015-05-28 Shun'ya Mizoguchi , Shinya Tomizawa

We present the action for a self-dual tensor in six dimensions, coupled to a (2,0) conformal supergravity background. This action gives rise to the expected equations of motion. An alternative look upon one of the gauge symmetries clarifies…

High Energy Physics - Theory · Physics 2009-10-31 Kor Van Hoof

We calculate quantum gravitational corrections to the entropy of black holes using the Wald entropy formula within an effective field theory approach to quantum gravity. The corrections to the entropy are calculated to second order in…

High Energy Physics - Theory · Physics 2021-09-22 Xavier Calmet , Folkert Kuipers

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

Near the horizon of a black brane in Anti-de Sitter (AdS) space and near the AdS boundary, the long-wavelength fluctuations of the metric exhibit hydrodynamic behaviour. The gauge-gravity duality then relates the boundary hydrodynamics for…

High Energy Physics - Theory · Physics 2009-03-27 Ram Brustein , A. J. M. Medved

Teleparallel theories of gravity are described in terms of the tetrad of a metric and a flat connection with torsion. In this paper, we study spherical symmetry in a modified teleparallel theory of gravity which is based on an arbitrary…

General Relativity and Quantum Cosmology · Physics 2021-05-06 Sebastian Bahamonde , Christian Pfeifer

We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a…

High Energy Physics - Theory · Physics 2015-06-17 T. Ashok

We clarify the relation between the Noether charge associated to an arbitrary vector field and the equations of motions by revisiting Wald formalism. For a time-like Killing vector, aspects of the Noether charge suggest that it is dual to…

High Energy Physics - Theory · Physics 2018-03-21 Zhong-Ying Fan
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