Kerr Geodesics, the Penrose Process and Jet Collimation by a Black Hole

Abstract

We re-examine the possibility that astrophysical jet collimation may arise from the geometry of rotating black holes and the presence of high-energy particles resulting from a Penrose process, without the help of magnetic fields. Our analysis uses the Weyl coordinates, which are revealed better adapted to the desired shape of the jets. We numerically integrate the 2D-geodesics equations. We give a detailed study of these geodesics and give several numerical examples. Among them are a set of perfectly collimated geodesics with asymptotes $\rho ={\rho }_1$ parallel to the $z-$ axis, with ${\rho }_1$ only depending on the ratios $\frac{\mathcal{Q}}{E^2-1}$ and $\frac{a}{M}$, where $a$ and $M$ are the parameters of the Kerr black hole, $E$ the particle energy and $\mathcal{Q}$ the Carter's constant.

Accepted by Astronomy and Astrophysics. AA style with 3 EPS figures. Content amended after AA's refereeing. Discussion of geodesics also corrected and expanded earlier. Conclusions amended accordingly

References in corpus (6)

• The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105
• Correlation of the highest-energy cosmic rays with the positions of nearby active galactic nuclei
• Discovery of very high energy gamma-ray emission from Centaurus A with H.E.S.S
• Ultra High Energy Cosmic Rays from Black Hole Jets of Radio Galaxies
• Black holes: from stars to galaxies
• Puzzling afterglow's oscillations in GRBs and SGRs: tails of precessing Jets

Cited by in corpus (22)

• Penrose Process in Kerr-Taub-NUT Spacetime
• Numerical estimation of the escaping flux of massless particles created in collisions around a Kerr black hole
• On the Use of Multipole Expansion in Time Evolution of Non-linear Dynamical Systems and Some Surprises Related to Superradiance
• String loops oscillating in the field of Kerr black holes as a possible explanation of twin high-frequency quasiperiodic oscillations observed in microquasars
• Relativistic Tidal Acceleration of Astrophysical Jets
• Highly relativistic spinning particle starting near $r_{ph}^{(-)}$ in a Kerr field
• Unbound geodesics from the ergosphere and potential observability of debris from ultrahigh energy particle collisions
• Unbound geodesics from the ergosphere and the M87 jet profile
• Gravitational Model of High Energy Particles in a Collimated Jet
• Acceleration of electric current-carrying string loop near a Schwarzschild black hole immersed in an asymptotically uniform magnetic field
• Observable acceleration of jets by a Kerr black hole
• Dynamical obstruction to perpetual motion from Lorentz-violating black holes
• Kerr Geodesics Following the Axis of Symmetry
• Particles under radiation thrust in Schwarzschild space-time from a flux perpendicular to the equatorial plane
• Conformally flat sources for the Linet-Tian spacetime
• Cylindrically symmetric models of gravitational collapse to black holes: a short review
• Test of the string loop oscillation model using kHz quasiperiodic oscillations in a neutron star binary
• Geodesics dynamics in the Linet-Tian spacetime with Lambda>0
• Repulsive effect for the unbound high energy particles along the rotation axis in the Kerr-Taub-NUT spacetime
• Existence of conserved quantities and their algebra in curved spacetime
• Sitnikov problem as a source of jets
• Relativistic Tidal Accelerations in the Exterior Schwarzschild Spacetime