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The 0-0 component of these equations can be used to derive the first Friedmann equation. For 10 points each:
[10m] Name these nonlinear PDEs that determine the metric from the stress-energy tensor. The left-hand side of these equations contains a term equal to the metric times lambda.
ANSWER: Einstein field equations [or Einstein’s equations or EFEs]
[10e] The left hand side of the EFEs also contains a tensor symbolized with this specific letter. This letter represents the proportionality constant in the law of universal gravitation.
ANSWER: capital G [or uppercase G or big G or equivalents; prompt on G; reject “little g” or “lowercase g” or equivalents]
[10h] Solving the EFEs for one of these substances yields the cosmological equation of state. These substances have a diagonal stress-energy tensor and are characterized by their ratio of pressure to energy density, denoted w.
ANSWER: ideal fluids [or perfect fluids; prompt on fluid solution; anti-prompt on dust solution]
<Science - Physics>

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Michigan CStanford0000
Michigan COhio State010010
Michigan COhio State0000
Michigan CStanford010010
Ohio StateCase Western1010020
Iowa StatePenn State B10101030
IowaVassar0000
North CarolinaPenn State A010010
Michigan CStanford0000
Michigan COhio State010010
Michigan COhio State0000
Michigan CStanford010010
WUSTLMichigan A1010020