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Finding Equation of Motion Using Scalar Field Lagrangian

  • #1

Homework Statement


I must find the following equation of motion:

φ'' + 3Hφ' + dV/dφ = 0

Using the scalar field Lagrangian:

EoM14.png
(replace the -1/2m^2φ^2 term with a generic V(φ) term though)

with the Euler-Lagrange Equation

img419.png


I know that I must assume φ = φ(t) and the scale factor a = a(t)

Homework Equations




The Attempt at a Solution


20160419_203815-jpg.99371.jpg
 

Answers and Replies

  • #2
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