Dirac Quantization of the Kerr Metric

2020 ◽  
pp. 103-113
Author(s):  
Norbert Schwarzer
Keyword(s):  
Kerr Metric ◽  
Dirac Quantization

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 A new look at the Dirac quantization conditions

1995 ◽  
Vol 202 (5-6) ◽  
pp. 330-336 ◽  
Author(s):  
E. Gozzi
Keyword(s):  
Dirac Quantization ◽  
New Look

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 PSEUDOCLASSICAL MODEL OF SPINNING PARTICLE WITH ANOMALOUS MAGNETIC MOMENTUM

1993 ◽  
Vol 08 (05) ◽  
pp. 463-468 ◽  
Author(s):  
D.M. GITMAN ◽  
A.V. SAA
Keyword(s):  
Electromagnetic Field ◽  
External Electromagnetic Field ◽  
Invariant Form ◽  
Pauli Equation ◽  
Spinning Particle ◽  
Dirac Quantization

A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the Hamiltonian analyzes of the model, leads to the Dirac-Pauli equation for a particle with an anomalous magnetic momentum in an external electromagnetic field. Due to the structure of first class constraints in that case, the Dirac quantization demands for consistency to take into account an operator’s ordering problem.

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