- #1
stormymouse
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Anybody like to help a physics student who did their BSc six years ago and has forgotten all their maths!
Its a problem from Andrew Liddle's Introduction to cosmology 5.5
The Friedmann eqn is
(a'/a)2 = 8TTG/3 P - k/a2
Consider the case k>o, with the universe containing matter only, so that p =p0/a3
Demonstrate that the parametric solution
a(y) = 4 TT G p0/3k (1-cos y) ; t(y) = 4TTGp0/3k3/2 (y-siny)
solves this equation where y runs from 0 to 2TT
Sorry about the crassness..I hope you can deciphere my symbols...
I know I should differentiate them and use the chain rule..but really my maths is rubbish!
Any fellow physicists I would much appreciate it...maybe I shouldn't be doing my masters..I need to dig out my old calculus book...
Its a problem from Andrew Liddle's Introduction to cosmology 5.5
The Friedmann eqn is
(a'/a)2 = 8TTG/3 P - k/a2
Consider the case k>o, with the universe containing matter only, so that p =p0/a3
Demonstrate that the parametric solution
a(y) = 4 TT G p0/3k (1-cos y) ; t(y) = 4TTGp0/3k3/2 (y-siny)
solves this equation where y runs from 0 to 2TT
Sorry about the crassness..I hope you can deciphere my symbols...
I know I should differentiate them and use the chain rule..but really my maths is rubbish!
Any fellow physicists I would much appreciate it...maybe I shouldn't be doing my masters..I need to dig out my old calculus book...