Following recent work on the theory of Killing orbits in spacetime , 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.
|Number of pages||11|
|Journal||Classical and Quantum Gravity|
|Publication status||Published - 2004|