Question

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]
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Data

YaleBard1010020
Columbia AColumbia C1010020
GathererColumbia B0000
Lehigh BLehigh A0000
NYU ANYU B0000
NYU CRutgers010010