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 49 REFERENCES

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.-

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 in

Tables of Integrals, Series, and Products

Quantum Optics, Experimental Gravitation, and Measurement Theory

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 a

The Proceedings of the IRE

Ann. Phys. (N.Y.)

  • Ann. Phys. (N.Y.)
  • 1992

Class. and Quantum Grav

  • Class. and Quantum Grav
  • 1995