Geodesics in the Ernst metric

Details Geodesics in the Ernst metric Geodesics in the Ernst metric

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ncimb.130...76e&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 130, Jan. 1984, p. 76-84. Research supported by the Resource Center for Science and Engineering

Astronomy and Astrophysics

Astronomy

3

Black Holes (Astronomy), Celestial Mechanics, Equatorial Orbits, Geodesic Lines, Interstellar Magnetic Fields, Space-Time Functions, Circular Orbits, Equations Of Motion, Orbital Mechanics, Potential Theory

Scientific paper

Attention is given to aspects of the geometry of the Ernst (1976) spacetime, from the standpoint of time-like and light-like geodesics in the equatorial plane. After obtaining the propagation and trajectory equations for the equatorial geodesics, a qualitative description of the motion in question is developed from a study of the effective potential. This analysis is applied to the case of supermassive black holes, such as may exist at the center of some galaxies, whose magnetic field mechanism has been discussed by Wild and Kerns (1980). The particular case of equatorial circular geodesics is considered in closing.

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