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Strong energy condition in a Friedmann universe

With zero cosmological constant, the condition

ρ + 3 P \geq 0

implies

\overset{a}{¨} \leq 0

and

\dot{H} \leq - H^{2}, \frac{d}{d t} (H^{- 1}) \geq 1

wherever

H \neq = 0

.

Table of contents 51 1
- Finite-time Friedmann singularity under the strong energy condition Strong energy condition in a Friedmann universe 32

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