scholarly journals Quasi-spherical light cones of the Kerr geometry

1998 ◽  
Vol 15 (8) ◽  
pp. 2289-2301 ◽  
Author(s):  
Frans Pretorius ◽  
Werner Israel
Keyword(s):  
Kerr Geometry

Weakly dissipative plasma equilibria in Kerr geometry

2004 ◽  
Vol 11 (1) ◽  
pp. 278-285
Author(s):  
Klaus Elsässer ◽  
Yauhen Kot
Keyword(s):  
Kerr Geometry ◽  
Plasma Equilibria

On embeddings of the Kerr geometry

1981 ◽  
Vol 59 (5) ◽  
pp. 688-692 ◽  
Author(s):  
Nigel A. Sharp
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Equatorial Plane ◽  
Kerr Metric ◽  
Intrinsic Structure ◽  
Kerr Geometry ◽  
Rotating Black Hole ◽  
Isometric Embeddings

The use of isometric embeddings of curved geometries reveals their intrinsic structure in a way that is readily appreciated. This is done for 3 two-surfaces sliced from the Kerr metric which describes a rotating black hole: the equatorial plane, the event horizon, and the ergosurface.

A class of new perturbation equations for the Kerr geometry

1982 ◽  
Vol 89 (2) ◽  
pp. 68-70 ◽  
Author(s):  
Misao Sasaki ◽  
Takashi Nakamura
Keyword(s):  
Kerr Geometry ◽  
New Perturbation ◽  
Perturbation Equations

Reflection of a Gaussian beam from a magnetized medium in the polar Kerr geometry

2015 ◽  
Vol 118 (2) ◽  
pp. 310-316
Author(s):  
I. V. Zlodeev ◽  
Yu. F. Nasedkina ◽  
D. I. Sementsov
Keyword(s):  
Gaussian Beam ◽  
Kerr Geometry

scholarly journals Complete set of quasi-conserved quantities for spinning particles around Kerr

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Geoffrey Compère ◽  
Adrien Druart
Keyword(s):  
Linear Order ◽  
Conserved Quantities ◽  
Killing Tensor ◽  
Kerr Geometry ◽  
Spinning Particles ◽  
Kerr Spacetime ◽  
Killing Tensors ◽  
Mixed Symmetry ◽  
Constants Of Motion ◽  
Complete Set

We revisit the conserved quantities of the Mathisson-Papapetrou-Tulczyjew equations describing the motion of spinning particles on a fixed background. Assuming Ricci-flatness and the existence of a Killing-Yano tensor, we demonstrate that besides the two non-trivial quasi-conserved quantities, i.e. conserved at linear order in the spin, found by Rüdiger, non-trivial quasi-conserved quantities are in one-to-one correspondence with non-trivial mixed-symmetry Killing tensors. We prove that no such stationary and axisymmetric mixed-symmetry Killing tensor exists on the Kerr geometry. We discuss the implications for the motion of spinning particles on Kerr spacetime where the quasi-constants of motion are shown not to be in complete involution.

THE IRON LINE PRODUCTION BY MHD SHOCK IN KERR GEOMETRY

2002 ◽  
pp. 2332-2333
Author(s):  
M. TAKAHASHI
Keyword(s):  
Kerr Geometry ◽  
Line Production ◽  
Iron Line

scholarly journals Purely imaginary quasinormal modes of the Kerr geometry

2016 ◽  
Vol 33 (24) ◽  
pp. 245008 ◽  
Author(s):  
Gregory B Cook ◽  
Maxim Zalutskiy
Keyword(s):  
Quasinormal Modes ◽  
Kerr Geometry

Klein paradox in a kerr geometry

1975 ◽  
Vol 57 (3) ◽  
pp. 248-252 ◽  
Author(s):  
N. Deruelle ◽  
R. Ruffini
Keyword(s):  
Kerr Geometry ◽  
Klein Paradox

scholarly journals The Structure of Accretion Flow at the Base of Jets in AGN

2002 ◽  
Vol 19 (1) ◽  
pp. 125-128 ◽  
Author(s):  
Alina-C. Donea ◽  
Peter L. Biermann
Keyword(s):  
Boundary Layer ◽  
Black Hole ◽  
Angular Momentum ◽  
Low Power ◽  
Accretion Disk ◽  
Gravitational Energy ◽  
Kerr Geometry ◽  
Narrow Region ◽  
Stable Circular Orbit ◽  
Total Luminosity

AbstractThis paper discusses the boundary layer and the emission spectrum from an accretion disk having a jet anchored at its inner radius, close to the black hole. We summarise our earlier work and apply it to the accretion disks of some blazars. We suggest that the ‘accretion disk with jet’ (ADJ) model could make the bridge between standard accretion disk models (suitable for quasars and FRii sources) and low-power advection dominated accretion disk models (suitable for some of the low-power BL Lacs and FRi sources).The jet is collimated within a very narrow region close to the black hole (nozzle). In our model it is assumed that the boundary layer of the disk is the region between radius Rms — the last marginally stable circular orbit calculated for a Kerr geometry — and the radius Rjet, which gives the thickness of the ‘footring’, i.e. the base of the jet. We analyse the size of the boundary layer of the disk where the jet is fed with energy, mass, and angular momentum. As a consequence of the angular momentum extraction, the accretion disk beyond Rjet no longer has a Keplerian flow. A hot corona usually surrounds the disk, and entrainment of the corona along the flow could also be important for the energy and mass budget of the jet.We assume that the gravitational energy available at the footring of the jet goes into the jet, and so the spectrum from the accretion disk gives a total luminosity smaller than that of a ‘standard’ accretion disk, and our ADJ model should apply for blazars with low central luminosities. Variations of the boundary layer and nozzle may account for some of the variability observed in active galactic nuclei.

STANDING SHOCKS IN PSEUDO-KERR GEOMETRY

2008 ◽  
Author(s):  
SOUMEN MONDAL ◽  
SANDIP K. CHAKRABARTI
Keyword(s):  
Kerr Geometry
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