The Frenet-Serret formalism and black holes in higher dimensions

Details The Frenet-Serret formalism and black holes in higher dimensions The Frenet-Serret formalism and black holes in higher dimensions

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..961i&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, July 1, 1988, p. 961-970.

Astronomy and Astrophysics

Astronomy

5

Black Holes (Astronomy), Space-Time Functions, Einstein Equations, Field Strength, Formalism, Trajectory Analysis

Scientific paper

The Frenet-Serret formalism is applied to the study of Killing trajectories in higher dimensions (five and six). The curvature and the higher torsions are expressed in terms of an effective field strength, and their mutual relations established by the use of the Cayley-Hamilton theorem. This is used to show that the surface on which the timelike Killing vector becomes null is a null surface only if the 'rotation' is also null on it.

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