Problem 3: Show that the linearized Riemann tensor is invariant un...

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Problem 3: Show that the linearized Riemann tensor is invariant under the action of a gravitational gauge transformation of the linearized metric variable hpp. Problem 4: Show that for a perfect fluid at rest in a stationary spherically symmetric gravitational field Spw with energy-momentum tensor I** where w/ is the fluid 4-velocity, the covariant conservation law THE 0 can be written as P.j.

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