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Disk sources of the Kerr and Tomimatsu-Sato spacetimes: Construction and physical properties

Ledvinka, T.; Bičák, J.

We construct the disk sources matched to the exact vacuum Kerr and to the two classes of Tomimatsu-Sato
spacetimes. We analyze two models of the matter forming these disks. At each radius we consider either a
rotating massive ring with pressure or two counter-rotating streams of particles in circular geodesic motion.
Dragging effects present in such spacetimes lead either to the rotation of rings or the asymmetry
between streams. We demonstrate that the model of rotating rings is general enough to describe all
axisymmetric stationary disk sources with vanishing radial pressure which satisfy the weak energy condition,
and that centrifugal effects present in the disk sources of spacetimes with large angular momentum prevent the
construction of highly compact sources made of counter-rotating streams of geodesic particles. We illustrate
the radial distribution of the mass inside the disks and the angular velocities of both geodesic streams.
type:article
journal:Phys. Rev. D
volume:99
pages:064046
year:2019
eprint:arxiv:1903.01726
grants:Sources of strong gravity and their astrophysical meaning, GAČR 17-13525S; 2017-2019; hlavní řešitel: Oldřich Semerák
files:
ledvinka, bi??k_physrevd.99.064046.pdf (7335.96 kB)

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