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We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

Spherically symmetric transonic accretion of a fractal medium has been studied in both the stationary and the dynamic regimes. The stationary transonic solution is greatly sensitive to infinitesimal deviations in the outer boundary…

Astrophysics · Physics 2007-08-30 Nirupam Roy , Arnab K. Ray

At low densities, when radiation of an accreting gas is dynamically unimportant, quasi-spherical non-radiative accretion flow is formed around a compact object. We show that the density of the flow is n\propto r^{-1/2}. The gas compression…

Astrophysics · Physics 2007-05-23 Andrei Gruzinov

Using two different pseudo-Schwarzschild potentials proposed by Artemova et. al,$^{1}$ we formulate and solve the equations governing spherically symmetric transonic inflow and outflow in presence of a relativistic hadronic pressure…

Astrophysics · Physics 2009-11-07 Tapas Kumar Das

In the present study time evolution of quasi-spherical polytropic accretion flow with toroidal magnetic field is investigated. The study especially focused the astrophysically important case in which the adiabatic exponent $\gamma=5/3$. In…

Astrophysics · Physics 2012-05-11 Alireza Khesali , Kazem Faghei

Assuming self-similarity of the first kind, we get three possible values p=1/2, 1, 3/2 for the exponent describing the density profile, rho r^{-p}, of a non-radiative (and hence quasi-spherical) accretion flow. The high and low p cases are…

High Energy Astrophysical Phenomena · Physics 2013-11-25 Andrei Gruzinov

We give the formulation and the general analysis of the rotational accretion problem on $D$-dimensional spherical spacetime and investigate sonic points and critical points. First, we construct the simple two-dimensional rotating accretion…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Yasutaka Koga , Tomohiro Harada

We present self-similar solutions for advection-dominated accretion flows with radial viscous force in the presence of outflows from the accretion flow or infall. The axisymmetric flow is treated in variables integrated over polar sections…

Astrophysics · Physics 2009-10-31 Thomas Beckert

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

General relativistic, axisymmetric flow of low angular momentum accretion around a Kerr black hole can have certain geometric configuration where the flow is maintained in hydrostatic equilibrium along the vertical direction (direction…

High Energy Astrophysical Phenomena · Physics 2021-01-27 Pratik Tarafdar , Susovan Maity , Tapas K. Das

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

In this paper, we establish existence of global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles by combining variational method, various elliptic estimates and a compensated compactness method. More…

Analysis of PDEs · Mathematics 2009-07-21 Chunjing Xie , Zhouping Xin

The structure of the inner edge of the accretion disk around a black hole can be altered, if the matter inside the marginally stable orbit is magnetically connected to the disk. In this case, a non-zero torque is exerted on its inner edge,…

Astrophysics · Physics 2015-06-24 Xinwu Cao , Y. D. Xu

Ten years have passed since the global solutions of advective accretion disks around black holes and neutron stars were first discovered. Since then they are enjoying support from observers almost on a daily basis, more so in recent days…

Astrophysics · Physics 2007-05-23 S. K. Chakrabarti

In astrophysics, the process of a massive body acquiring matter is referred to as accretion. The extraction of gravitational energy occurs as a result of the infall. Since it converts gravitational energy into radiation, accretion onto dark…

General Relativity and Quantum Cosmology · Physics 2023-06-01 Kourosh Nozari , Sara Saghafi , Fateme Aliyan

As of now, all analogue gravity models available in the literature deal with the emergence of an acoustic geometry through linear perturbations of transonic fluids only. It has never been investigated whether the analogue gravity phenomena…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Karan Fernandes , Susovan Maity , Tapas K. Das

Transonic accretion flow with self-consistent treatment of random magnetic field is presented.

Astrophysics · Physics 2008-11-26 Roman V. Shcherbakov

We present the results of axisymmetric, time-dependent magnetohydrodynamic simulations of accretion flows around black holes. The calculations begin from a rotationally supported thick torus which contains a weak poloidal field. Accretion…

Astrophysics · Physics 2009-10-31 James M. Stone , James E. Pringle

Two-dimensional accretion flows near black holes have been investigated by time-dependent hydrodynamical calculations. We assume that the flow is axisymmetric and that radiative losses of internal energy are negligible, so that the disc is…

Astrophysics · Physics 2015-06-24 Igor V. Igumenshchev , Xingming Chen , Marek A. Abramowicz

This work devises a formalism to obtain the equations of motion for a black hole-fluid configuration. Our approach is based on a Post-Newtonian expansion and adapted to scenarios where obtaining the relevant dynamics requires long…

General Relativity and Quantum Cosmology · Physics 2013-08-01 Enrico Barausse , Luis Lehner
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