Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity

Parametrized post-Newtonian expansion of Chern-Simons gravity

Gravitomagnetism in Teleparallel Gravity

Abstract The assumption that matter charges and currents could generate fields, which are called, by analogy with electromagnetism, gravitoeletric and gravitomagnetic fields, dates from the origins of General Relativity (GR). On the other hand, the Teleparallel Equivalent of GR (TEGR), as a gauge theory, seems to be the ideal scenario to define these fields, based on the gauge field strength co...

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 ...

The Symmetric Teleparallel Gravity

We study symmetric teleparallel (STP) gravity model, in which only spacetime nonmetricity is nonzero. First we obtain STP equivalent Einstein-Hilbert Lagrangian and give an approach for a generic solution in terms of only metric tensor. Then we obtain a spherically symmetric static solution to the Einstein’s equation in STP space-time and discuss the singularities. Finally, we study a model giv...

Selected Topics in Teleparallel Gravity

Teleparallel gravity can be seen as a gauge theory for the translation group. As such, its fundamental field is neither the tetrad nor the metric, but a gauge potential assuming values in the Lie algebra of the translation group. This gauge character makes of teleparallel gravity, despite its equivalence to general relativity, a rather peculiar theory. A first important point is that it does no...