Disk sources of the Kerr and Tomimatsu-Sato spacetimes: construction and physical properties
arXiv:1903.01726 · doi:10.1103/PhysRevD.99.064046
Abstract
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 rotation of rings or asymmetry of both 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 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.
References in corpus (17)
- The Evolution of Black Hole Mass and Spin in Active Galactic Nuclei
- General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
- Free motion around black holes with discs or rings: between integrability and chaos - II
- Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime
- Gravitating discs around black holes
- Free motion around black holes with discs or rings: between integrability and chaos - III
- Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk
- Relativistic Models of Galaxies
- The Formation of S0 Galaxies with Counter-Rotating Neutral and Molecular Hydrogen
- Counter-Rotating Accretion Discs
- New sources for Kerr and other metrics: rotating relativistic disks with pressure support
- Exact relativistic treatment of stationary counter-rotating dust disks III. Physical Properties
- Conformastatic disk-haloes in Einstein-Maxwell gravity
- On explicit solutions to the stationary axisymmetric Einstein-Maxwell equations describing dust disks
- Newman-Janis Algorithm Revisited
- A General Relativistic Model for the Gravitational Field of Active Galactic Nuclei Surrounded by a Disk
- Relativistic Disks as Sources of Kerr-Newman Fields