COT3 - Inhomogeneous Cosmology |
Speaker_ |
Ananda, Kishore |
Co-autors |
Chris Clarkson, David Wands and Marco Bruni |
Talk _ |
Second order cosmological perturbation theory |
Abstract _ |
We present the Einstein Field Equations for cosmological perturbations up to second order of a Robertson-Walker background solution of arbitrary curvature. We consider the energy momentum tensor for a variety of sources including a perfect fluid, a system of scalar fields minimally coupled to gravity and electro-magnetic fields. We also present the second order gauge transformation equations. In addition we consider the scalar, vector, tensor decomposition of the second order equations, which unlike the decomposition of the linear equations is non-trivial. As an application of the formalism we calculate the tensor modes generated at second order by the non-linear evolution of the scalar perturbations. |