On the theory of homothetic and affine orbits in spacetime

Details On the theory of homothetic and affine orbits in spacetime On the theory of homothetic and affine orbits in spacetime

Oct 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cqgra..21.4731h&link_type=abstract

Classical and Quantum Gravity, Volume 21, Issue 19, pp. 4731-4742 (2004).

Physics

1

Scientific paper

Following recent work on the theory of Killing orbits in spacetime [1], an extension of these ideas is made to include the orbits of the homothetic and affine Lie algebras of symmetry vector fields. The possibility of a coincidence of orbits from the Killing, homothetic or affine algebras is explored and the results related to the stability of the orbits. A classification of homothetic isotropy is given and several examples of the possible orbit and isotropy behaviour are presented.

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