THE INTRINSIC DERIVATIVE AND CENTRIFUGAL FORCES IN GENERAL RELATIVITY: II. APPLICATIONS TO CIRCULAR ORBITS IN SOME FAMILIAR STATIONARY AXISYMMETRIC SPACETIMES

@article{Bini1997THEID,
  title={THE INTRINSIC DERIVATIVE AND CENTRIFUGAL FORCES IN GENERAL RELATIVITY: II. APPLICATIONS TO CIRCULAR ORBITS IN SOME FAMILIAR STATIONARY AXISYMMETRIC SPACETIMES},
  author={Donato Bini and Paolo Carini and Robert T. Jantzen},
  journal={International Journal of Modern Physics D},
  year={1997},
  volume={06},
  pages={143-198}
}
The tools developed in a preceding article for interpreting spacetime geometry in terms of all possible space-plus-time splitting approaches are applied to circular orbits in some familiar stationary axisymmetric spacetimes. This helps give a more intuitive picture of their rotational features including spin precession effects, and puts related work of Abramowicz, de Felice, and others on circular orbits in black hole spacetimes into a more general context. 
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References

SHOWING 1-10 OF 48 REFERENCES
The classical theory of fields
The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in aExpand
Relativity and Engineering
1. Kinematics in Inertial Axes.- 1.1 The "Aether" in the Nineteenth Century.- 1.2 Some Experimental Evidence.- 1.3 Einstein's Relativity Postulates.- 1.4 Time and Length Standards. Synchronization.-Expand
Quantum Optics, Experimental Gravitation, and Measurement Theory
The Glorious Days of Physics.- The Glorious Days of Physics.- Foundations.- to General Relativity.- Review of the Quantum Mechanical Measurement Problem.- On State Reduction and Observation inExpand
Tables of Integrals, Series, and Products
Class. Quantum Grav
  • Class. Quantum Grav
  • 1997
Class. Quantum Grav
  • Class. Quantum Grav
  • 1996
Gen. Relativ. Grav
  • Gen. Relativ. Grav
  • 1996
Class. Quantum Grav
  • Class. Quantum Grav
  • 1995
Mon. Not. R. Astron. Soc
  • Mon. Not. R. Astron. Soc
  • 1995
Class. Quantum Grav
  • Class. Quantum Grav
  • 1994
...
1
2
3
4
5
...