Modified teleparallel theories of gravity

Modified teleparallel theories of gravity: Gauss–Bonnet and trace extensions

We investigate modified theories of gravity in the context of teleparallel geometries with possible Gauss-Bonnet contributions. The possible coupling of gravity with the trace of the energy-momentum tensor is also taken into account. This is motivated by the various different theories formulated in the teleparallel approach and the metric approach without discussing the exact relationship betwe...

Modified teleparallel gravity: inflation without inflaton

Born-Infeld strategy to smooth theories having divergent solutions is applied to teleparallel equivalent of General Relativity. Differing from other theories of modified gravity, modified teleparallelism leads to second order equations, since teleparallel Lagrangian only contains first derivatives of the vierbein. We show that Born-Infeld-modified teleparallelism solves the particle horizon pro...

Wormhole geometries in modified teleparallel gravity and theenergy conditions

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...

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...