I recently read that if a vector field satisfies $$L_v g_{ij}=a g_{ij}$$ then if $a=0$ or positive then v is Killing or Homothetic. What happens when a is negative?. Where $L_v$ is the Lie derivative and $g_{ij}$ is the metric.
2026-03-24 23:44:17.1774395857
Beyond Homothetic and Killing vectors
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