Newtonian, Post-Newtonian and Parametrized Post-Newtonian limits of f(R, 𝒢) gravity

Parametrized post-Newtonian expansion of Chern-Simons gravity

Post-Newtonian expansion for Gauss-Bonnet Gravity

The observed late time accelerated expansion of the universe [1] combined with the problems that arise when trying to rationalize it with the simplest of explanations, such as a cosmological constant [2], have triggered an increased interest in finding alternatives for the nature of dark energy. Scalar fields, widely used in the inflationary paradigm [3], constitute a familiar way of providing ...

Post{newtonian Cosmological Dynamics

The non{linear dynamics of self{gravitating collisionless matter with vanishing vorticity is studied in a general relativistic framework, using synchronous and comoving (i.e. Lagrangian) coordinates. Writing the equations in terms of the metric tensor of the spatial sections orthogonal to the uid ow allows an unambiguous expansion in inverse powers of the speed of light. The Newtonian and post{...

Post-newtonian Cosmology

Newtonian Cosmology is commonly used in astrophysical problems, because of its obvious simplicity when compared with general relativity. However it has inherent difficulties, the most obvious of which is the non-existence of a well-posed initial value problem. In this paper we investigate how far these problems are met by using the post-Newtonian approximation in cosmology.

Post-Newtonian Gravitational Radiation

Let us declare that the most important devoir of any physical theory is to draw firm predictions for the outcome of laboratory experiments and astronomical observations. Unfortunately, the devoir is quite difficult to fulfill in the case of general relativity, essentially because of the complexity of the Einstein field equations, to which only few exact solutions are known. For instance, it is ...