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16.7 In the slow-roll approximation, show that H=-1². Assuming that varies monotonically with throughout the period of i
Posted: Thu Jun 09, 2022 4:11 pm
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- 16 7 In The Slow Roll Approximation Show That H 1 Assuming That Varies Monotonically With Throughout The Period Of I 1 (78.67 KiB) Viewed 259 times
16.7 In the slow-roll approximation, show that H=-1². Assuming that varies monotonically with throughout the period of inflation, show that $=-2H' (6). where H is now considered as a function of , and hence that we may write the cosmological field equation as [H'()]² - H²() = -V(6). This is known as the Hamilton-Jacobi formalism for inflation. 16.9 In the Hamilton-Jacobi formalism developed in Exercise 16.7, show that the condition for inflation to occur is H'()* <1. H(6)