Cosmo09 presentation

Numerical calculation of second order perturbations Ian Huston Astronomy Unit, Queen Mary, University of London arXiv: 0907.2917 with Karim Malik, accepted by JCAP

1 ϕ = ϕ0 + δϕ1 + δϕ2 2

δϕ1 + 2Hδϕ1 + k 2δϕ1 + a2M1δϕ1 = 0

δϕ2 + 2Hδϕ2 + k 2δϕ2 + a2M2δϕ2 + S(δϕ1, δϕ1 ) = 0 Malik, JCAP 0703 (2007) 004, astro-ph/0610864.

δϕ1(q i)δϕ1(k i − q i)d3q

code(): Following Salopek et al. (1989), Martin & Ringeval (2006)

×10−4 3 2 1 √1 k 2 δϕ1 3 0 2π −1 −2 −3 64 63 62 61 nend − n First order

10−1 10−2 10−3 10−4 10−5 10−6 10−7 |S| 10−8 10−9 10−10 10−11 10−12 10−13 10−14 70 60 50 40 30 20 10 0 nend − n Source term

×10−93 4 3 2 1 k 2 δϕ2 1 3 0 2π −1 −2 −3 −4 61 60 59 58 57 nend − n Second order

v1.0: 1000+ k modes Slow roll source term Parallelisable

Need to go beyond 1st order Convolution required Next steps: full eqn, multi-ﬁeld arXiv: 0907.2917

Cosmo09 presentation

by Ian Huston on Sep 17, 2009

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Cosmo09 presentation — Presentation Transcript