Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria
arXiv:2306.11741 · doi:10.1140/epjp/i2018-12043-9
Abstract
A test fluid composed of relativistic collisionless neutral particles in the background of Kerr metric is expected to generate non-isotropic equilibrium configurations in which the corresponding stress-energy tensor exhibits pressure and temperature anisotropies. This arises as a consequence of the constraints placed on single-particle dynamics by Killing tensor symmetries, leading to a peculiar non-Maxwellian functional form of the kinetic distribution function describing the continuum system. Based on this outcome, in this paper the generation of Kerr-like metric by collisionless N-body systems of neutral matter orbiting in the field of a rotating black hole is reported. The result is obtained in the framework of covariant kinetic theory by solving the Einstein equations in terms of an analytical perturbative treatment whereby the gravitational field is decomposed as a prescribed background metric tensor described by the Kerr solution plus a self-field correction. The latter one is generated by the uncharged fluid at equilibrium and satisfies the linearized Einstein equations having the non-isotropic stress-energy tensor as source term. It is shown that the resulting self-metric is again of Kerr type, providing a mechanism of magnification of the background metric tensor and its qualitative features.
13 pages. arXiv admin note: text overlap with arXiv:2306.10434
References in corpus (18)
- Supermassive black hole binaries in gaseous and stellar circumnuclear discs: orbital dynamics and gas accretion
- Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
- Off-equatorial orbits in strong gravitational fields near compact objects -- II: halo motion around magnetic compact stars and magnetized black holes
- A black-hole mass measurement from molecular gas kinematics in NGC4526
- Electrically charged matter in rigid rotation around magnetized black hole
- Off-equatorial orbits in strong gravitational fields near compact objects
- The impact of going beyond the Maxwell distribution in direct dark matter detection rates
- The runaway instability in general relativistic accretion disks
- Relativistic Magnetic Reconnection in Kerr Spacetime
- Regular and chaotic orbits near a massive magnetic dipole
- The formation of CDM haloes II: collapse time and tides
- Equilibrium conditions of spinning test particles in Kerr-de Sitter spacetimes
- String loops oscillating in the field of Kerr black holes as a possible explanation of twin high-frequency quasiperiodic oscillations observed in microquasars
- Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas
- Collisionless kinetic regimes for quasi-stationary axisymmetric accretion disc plasmas
- Kinetic equilibria of relativistic collisionless plasmas in the presence of non-stationary electromagnetic fields
- Covariant formulation of spatially non-symmetric kinetic equilibria in magnetized astrophysical plasmas
- Carter-constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems