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Spherically symmetric static spacetimes in vacuum f(T) gravity
(American Physical Society, 2011-10)
We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional f ( T ) gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler context of three-dimensional ...
Non trivial frames for f(T) theories of gravity and beyond
(Elsevier Science, 2011-06)
Some conceptual issues concerning f (T ) theories – a family of modified gravity theories based on absolute parallelism – are analyzed. Due to the lack of local Lorentz invariance, the autoparallel frames satisfying the ...
Gravitational Energy-Momentum Density in Teleparallel Gravity
(2000-05-15)
In the context of a gauge theory for the translation group, a conserved energy-momentum gauge current for the gravitational field is obtained. It is a true spacetime and gauge tensor, and transforms covariantly under global ...
Teleparallel spin connection
(2001-01-01)
A new expression for the spin connection of teleparallel gravity is proposed, given by minus the contorsion tensor plus a zero connection. The corresponding minimal coupling is covariant under local Lorentz transformation, ...
Teleparallel spin connection
(American Physical Soc, 2001-07-15)
A new expression for the spin connection of teleparallel gravity is proposed, given by minus the contorsion tensor plus a zero connection. The corresponding minimal coupling is covariant under local Lorentz transformation, ...
Modified teleparallel theories of gravity: Gauss-Bonnet and trace extensions
(2016)
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 energymomentum tensor is also taken ...
McVittie solution in f(T) gravity
(Springer, 2017-12)
We show that McVittie geometry, which describes a black hole embedded in a FLRW universe, not only solves the Einstein equations but also remains as a non-deformable solution of f(T) gravity. This search for GR solutions ...
Lorentz Connections and Gravitation
(American Institute of Physics (AIP), 2012-01-01)
The different roles played by Lorentz connections in general relativity and in teleparallel gravity are reviewed. Some of the consequences of this difference are discussed.