Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin

Details Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin

2002-09-12

arxiv.org/abs/astro-ph/0209251v1

Astrophys.J. 577 (2002) 904-908

Astronomy and Astrophysics

Astrophysics

5 pages, 1 figure, to appear in The Astrophysical Journal, October 1, 2002

Scientific paper

10.1086/342246

The collapse of a uniformaly rotating, supermassive star (SMS) to a supermassive black hole (SMBH) has been followed recently by means of hydrodynamic simulations in full general relativity. The initial SMS of arbitrary mass M in these simulations rotates uniformly at the mass--shedding limit and is marginally unstable to radial collapse. The final black hole has mass M_h/M = 0.9 and and spin J_h/M_h^2 = 0.75, approximately. The remaining mass goes into a disk of mass M_disk/M = 0.1, also approximately. Here we show that these black hole and disk parameters can be calculated analytically from the initial stellar density and angular momentum distribution. The analytic calculation thereby corroborates and provides a simple physical explanation for the computational discovery that SMS collapse inevitably terminates in the simultaneous formation of a SMBH and a rather substantial ambient disk. This disk arises even though the total spin of the progenitor star, J/M^2 = 0.97, is safely below the Kerr limit. The calculation performed here applies to any marginally unstable n = 3 polytrope uniformly rotating at the break--up speed, independent of stellar mass or the source of internal pressure. It illustrates how the black hole and disk parameters can be determined for the collapse of other types of stars with different initial density and rotation profiles.

Affiliated with

Also associated with

No associations

Rating

Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330079