Parabolic Jets from the Spinning Black Hole in M87

TL;DR

This study combines GRMHD simulations and FFE solutions to analyze the structure and dynamics of the M87 jet, revealing a parabolic streamline anchored to the black hole and a spine-sheath stratification, consistent with VLBI observations.

Contribution

It demonstrates that the M87 jet's parabolic shape and edge are linked to the outermost FFE streamline and black hole spin, providing new insights into jet formation and structure.

Findings

The jet edge follows the outermost parabolic FFE streamline.

The jet exhibits a spine-sheath stratification and knotty features.

The jet's stagnation surface location depends on black hole spin.

Abstract

The M87 jet is extensively examined by utilizing general relativistic magnetohydrodynamic (GRMHD) simulations as well as the steady axisymmetric force-free electrodynamic (FFE) solution. Quasi-steady funnel jets are obtained in GRMHD simulations up to the scale of $\sim 100$ gravitational radius ($r_{\rm g}$) for various black hole (BH) spins. As is known, the funnel edge is approximately determined by the following equipartitions; i) the magnetic and rest-mass energy densities and ii) the gas and magnetic pressures. Our numerical results give an additional factor that they follow the outermost parabolic streamline of the FFE solution, which is anchored to the event horizon on the equatorial plane. We also identify the matter dominated, non-relativistic corona/wind play a dynamical role in shaping the funnel jet into the parabolic geometry. We confirm a quantitative overlap between the outermost parabolic streamline of the FFE jet and the edge of jet sheath in VLBI observations at $\sim 10^{1}$-$10^{5} \, r_{\rm g}$, suggesting that the M87 jet is likely powered by the spinning BH. Our GRMHD simulations also indicate a lateral stratification of the bulk acceleration (i.e., the spine-sheath structure) as well as an emergence of knotty superluminal features. The spin characterizes the location of the jet stagnation surface inside the funnel. We suggest that the limb-brightened feature could be associated with the nature of the BH-driven jet, if the Doppler beaming is a dominant factor. Our findings can be examined with (sub-)mm VLBI observations, giving a clue for the origin of the M87 jet.