Find explicit expressions for a complete set of Killing vector ficlds for the following spaces: (a) Minkowski space, with metric d x^2=-d r^2 dx^2 d y^2 d z^2. (b) A spacetime with coortinates {u, v, x, y] and metric d x^2=-( dudv dv d u) a^2(u) d x^2 b^2(u) d y^2 where a and b are unspecified functions of u. This represents a gravitational wave spacetime. (Hints, which yoe noed not show: there are five Killing vectors in all, and all of them have a vanishing u component 𝕂^M ) Be careful, in a
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