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]
<Science - Physics>
Summary
| 2024 Booster Shot (Columbia) | 02/23/2024 | Y | 6 | 8.33 | 50% | 33% | 0% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 6 | 13.33 | 67% | 50% | 17% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 1 | 10.00 | 100% | 0% | 0% |
| 2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 4 | 10.00 | 50% | 50% | 0% |
| 2024 Booster Shot (WUSTL) | 03/09/2024 | Y | 3 | 6.67 | 67% | 0% | 0% |
| 2024 Booster Shot (Waterloo) | 02/23/2024 | Y | 4 | 10.00 | 50% | 50% | 0% |