# An analytic toy model for relativistic accretion in Kerr space–time

@article{Tejeda2013AnAT, title={An analytic toy model for relativistic accretion in Kerr space–time}, author={Emilio Tejeda and Paul Allen Taylor and John Clark Miller}, journal={Monthly Notices of the Royal Astronomical Society}, year={2013}, volume={429}, pages={925-938} }

We present a relativistic model for the stationary axisymmetric accretion flow of a rotating cloud of non-interacting particles falling onto a Kerr black hole. Based on a ballistic approximation, streamlines are described analytically in terms of timelike geodesics, while a simple numerical scheme is introduced for calculating the density field. A novel approach is presented for describing all of the possible types of orbit by means of a single analytic expression. This model is a useful tool…

## 16 Citations

Relativistic wind accretion on to a Schwarzschild black hole

- PhysicsMonthly Notices of the Royal Astronomical Society
- 2019

We present a novel analytic model of relativistic wind accretion on to a Schwarzschild black hole. This model constitutes a general relativistic extension of the classical model of wind accretion by…

Relativistic low angular momentum accretion: long time evolution of hydrodynamical inviscid flows

- Physics
- 2018

We investigate relativistic low angular momentum accretion of inviscid perfect fluid onto a Schwarzschild black hole. The simulations are performed with a general-relativistic, high-resolution…

Choked accretion onto a Kerr black hole

- Physics
- 2020

The choked accretion model consists of a purely hydrodynamical mechanism in which, by setting an equatorial to polar density contrast, a spherically symmetric accretion flow transitions to an…

Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria

- Physics
- 2018

Abstract.A test fluid composed of relativistic collisionless neutral particles in the background of Kerr metric is expected to generate non-isotropic equilibrium configurations in which the…

Covariant formulation of spatially non-symmetric kinetic equilibria in magnetized astrophysical plasmas

- Physics
- 2014

Astrophysical plasmas in the surrounding of compact objects and subject to intense gravitational and electromagnetic fields are believed to give rise to relativistic regimes. Theoretical and…

Geodesic motion in the space-time of a noncompact boson star

- Physics
- 2013

We study the geodesic motion of test particles in the space-time of noncompact boson stars. These objects are made of a self-interacting scalar field and---depending on the scalar field's mass---can…

Carter constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems

- Physics
- 2017

A new intrinsically-relativistic kinetic mechanism for
generation of nonisotropic relativistic kinetic equilibria in
collisionless N-body systems is pointed out. The theory is
developed in the…

Michel accretion of a polytropic fluid with adiabatic index γ > 5 / 3 : global flows versus homoclinic orbits

- Mathematics, Physics
- 2016

We analyze the properties of a polytropic fluid that is radially accreted into a Schwarzschild black hole. The case where the adiabatic index γ lies in the range of 1 < γ ≤ 5 / 3 has been treated in…

Bondi-type accretion in the Reissner–Nordström–(anti-)de Sitter spacetime

- Physics
- 2015

In this paper I study the stationary, spherically symmetric accretion of fluids onto a charged black hole in the presence of a cosmological constant. For some isothermal equations of state it is…

The Role of Electric Charge in Relativistic Accretion onto Compact Objects : an Analytical Approach

- Physics
- 2018

This thesis is dedicated to the discussion of the role of electric charge in relativistic accretion onto compact objects. Many high-luminosity phenomena in the observed universe can be traced back to…

## References

SHOWING 1-10 OF 40 REFERENCES

Analytic solutions to the accretion of a rotating finite cloud towards a central object – II. Schwarzschild space–time

- Physics
- 2011

We construct a general relativistic model for the accretion flow of a rotating finite cloud of non-interacting particles infalling on to a Schwarzschild black hole. The streamlines start at a…

Analytic solutions to the accretion of a rotating finite cloud towards a central object - I. Newtonian approach

- Physics
- 2009

We construct a steady analytic accretion flow model for a finite rotating gas cloud that accretes material to a central gravitational object. The pressure gradients of the flow are considered to be…

Precise relativistic orbits in Kerr and Kerr–(anti) de Sitter spacetimes

- Physics
- 2004

The timelike geodesic equations resulting from the Kerr gravitational metric element are derived and solved exactly including the contribution from the cosmological constant. The geodesic equations…

Long-duration gamma-ray bursts: hydrodynamic instabilities in collapsar discs

- Physics
- 2010

We present 3D numerical simulations of the early evolution of long-duration gamma-ray bursts in the collapsar scenario. Starting from the core collapse of a realistic progenitor model, we follow the…

GAMMA-RAY BURST PRODUCTION AND SUPERNOVA SIGNATURES IN SLOWLY ROTATING COLLAPSARS

- Physics
- 2008

We consider accretion onto newborn black holes following the collapse of rotating massive stellar cores, at the threshold where a centrifugally supported disk gives way to nearly radial inflow for…

Accretion Modes in Collapsars: Prospects for Gamma-Ray Burst Production

- Physics
- 2005

We explore low angular momentum accretion flows onto black holes formed after the collapse of massive stellar cores. In particular, we consider the state of the gas falling quasi-spherically onto…

Electromagnetic extraction of energy from Kerr black holes

- Physics
- 1977

When a rotating black hole is threaded by magnetic field lines supported by external currents flowing in an equatorial disc, an electric potential difference will be induced. If the field strength is…

Global structure of the Kerr family of gravitational fields

- Physics
- 1968

The Kerr family of solutions of the Einstein and Einstein-Maxwell equations is the most general class of solutions known at present which could represent the field of a rotating neutral or…

Analytical solutions of bound timelike geodesic orbits in Kerr spacetime

- Physics
- 2009

We derive the analytical solutions of the bound timelike geodesic orbits in Kerr spacetime. The analytical solutions are expressed in terms of the elliptic integrals using Mino time λ as the…

Kerr Metric Black Holes

- PhysicsNature
- 1970

LYNDEN-BELL has suggested1 that a massive collapsed object may lie at the centre of many galaxies, including our own, and that a continuing flux of matter into such a collapsed object, or “black…