I am going to split up my talk into two parts. In the first part I am going to show how we can use an extended version of the parameterized post-Newtonian formalism to parameterize theories of gravity in the cosmological background, as well as in the perturbations on non-linear and horizon-scales. This covers a range of scales that we don't think has been consistently parameterized before. In the second part of my talk I will discuss how we perform numerical ray-tracing simulations in a post-Newtonian cosmology (within general relativity) to understand the effect of inhomogeneities on the Hubble diagram.
Speaker: Viraj Sanghai
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