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… 

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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
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
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
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
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
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
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
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
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
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
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
...
...