scholarly journals Kerr metric, static observers and Fermi coordinates

2005 ◽  
Vol 22 (22) ◽  
pp. 4729-4742 ◽  
Author(s):  
Donato Bini ◽  
Andrea Geralico ◽  
Robert T Jantzen
Keyword(s):  
Kerr Metric ◽  
Fermi Coordinates ◽  
Static Observers

The Kerr solution

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Kerr Black Hole ◽  
Geodesic Equation ◽  
Einstein Equations ◽  
Kerr Metric ◽  
Kerr Solution ◽  
Axially Symmetric ◽  
Observable Universe ◽  
Einstein Vacuum Equations ◽  
Einstein Vacuum ◽  
The Many

This chapter covers the Kerr metric, which is an exact solution of the Einstein vacuum equations. The Kerr metric provides a good approximation of the spacetime near each of the many rotating black holes in the observable universe. This chapter shows that the Einstein equations are nonlinear. However, there exists a class of metrics which linearize them. It demonstrates the Kerr–Schild metrics, before arriving at the Kerr solution in the Kerr–Schild metrics. Since the Kerr solution is stationary and axially symmetric, this chapter shows that the geodesic equation possesses two first integrals. Finally, the chapter turns to the Kerr black hole, as well as its curvature singularity, horizons, static limit, and maximal extension.

scholarly journals A spacetime characterization of the Kerr metric

1999 ◽  
Vol 16 (7) ◽  
pp. 2507-2523 ◽  
Author(s):  
Marc Mars
Keyword(s):  
Kerr Metric

Stationary Axially Symmetric Fields and the Kerr Metric

1972 ◽  
Vol 13 (10) ◽  
pp. 1538-1540 ◽  
Author(s):  
R. M. Misra ◽  
Deo Bhushan Pandey
Keyword(s):  
Kerr Metric ◽  
Axially Symmetric

scholarly journals Fermi coordinates for weak gravitational fields

1994 ◽  
Vol 50 (2) ◽  
pp. 888-891 ◽  
Author(s):  
Karl-Peter Marzlin
Keyword(s):  
Gravitational Fields ◽  
Fermi Coordinates

scholarly journals Fermi coordinates and Penrose limits

2006 ◽  
Vol 23 (11) ◽  
pp. 3993-4010 ◽  
Author(s):  
Matthias Blau ◽  
Denis Frank ◽  
Sebastian Weiss
Keyword(s):  
Fermi Coordinates

Superposition of the Kerr metric with the generalized Erez-Rosen solution

1990 ◽  
Vol 41 (6) ◽  
pp. 2018-2020 ◽  
Author(s):  
J. Castejon-Amenedo ◽  
V. S. Manko
Keyword(s):  
Kerr Metric

scholarly journals The Dirac propagator in the extreme Kerr metric

2007 ◽  
Vol 40 (44) ◽  
pp. 13443-13451 ◽  
Author(s):  
D Batic ◽  
H Schmid
Keyword(s):  
Kerr Metric

ON MAGNETIC SELF-COLLIMATION OF RELATIVISTIC JETS

2010 ◽  
Vol 19 (06) ◽  
pp. 689-694
Author(s):  
N. GLOBUS ◽  
V. CAYATTE ◽  
C. SAUTY
Keyword(s):  
Black Hole ◽  
Total Energy ◽  
Ideal Fluid ◽  
Polar Axis ◽  
Kerr Metric ◽  
Relativistic Jets ◽  
Simple Criterion ◽  
General Relativistic ◽  
Time Splitting ◽  
Relativistic Magnetohydrodynamics

We present a semi-analytical model using the equations of general relativistic magnetohydrodynamics (GRMHD) for jets emitted by a rotating black hole. We assume steady axisymmetric outflows of a relativistic ideal fluid in Kerr metrics. We express the conservation equations in the frame of the FIDucial Observer (FIDO or ZAMO) using a 3+1 space–time splitting. Calculating the total energy variation between a non-polar field line and the polar axis, we extend to the Kerr metric the simple criterion for the magnetic collimation of jets obtained for a nonrotating black hole by Meliani et al.10 We show that the black role rotation induced a more efficient magnetic collimation of the jet.

scholarly journals Kerr Metric, de Donder Condition and Gravitational Energy Density

1987 ◽  
Vol 78 (5) ◽  
pp. 1186-1201 ◽  
Author(s):  
M. Abe ◽  
S. Ichinose ◽  
N. Nakanishi
Keyword(s):  
Energy Density ◽  
Gravitational Energy ◽  
Kerr Metric

scholarly journals Launching of jets by cold, magnetized disks in Kerr metric

2010 ◽  
Vol 517 ◽  
pp. A18 ◽  
Author(s):  
A. Sądowski ◽  
M. Sikora
Keyword(s):  
Kerr Metric
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