Static Solutions with Spherical Symmetry in f(T) Theories

By Tower Wang. 2011

166 citations recorded by the source corpus.

The spherically symmetric static solutions are searched for in some $f(T)$ models of gravity theory with a Maxwell term. To do this, we demonstrate that reconstructing the Lagrangian of $f(T)$ theories is sensitive to the choice of frame, and then we introduce a particular frame based on the conformally Cartesian coordinates. In this particular frame, the existence conditions of various solutions are presented. Our results imply that only a limited class of $f(T)$ models can be solved in this frame. For more general models, the search for spherically symmetric static solutions is still an open and challenging problem, hopefully solvable in other frames.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/26c2777130ca48fce6cccef3896f899dd3591d86

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Citations in the corpus

Solar system constraints on f(T) gravity (2012, background): “…Setare & Houndjo (2012), Liuet al. (2012), Wu & Yu (2010b), Bengochea (2011), Gonzalez et al. (2012), Daouda et al. (2011), Daouda et al. (2012a), Boehmeret al (2011), Daouda et al. (2012b), Ferraro & Fiorini (2011c), Wang (2011), Miao et al. (2011), Wei et al (2012), Ferraro & Fiorini (2011b)).”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, unknown): “[78] T.”
f(T) teleparallel gravity and cosmology (2015, methodology): “We stress that, in this way, we obtain new solutions, that could not be obtained by the standard methods applied in [264, 265, 459, 522, 538].”
Observational constraints on teleparallel dark energy (2011, background): “The first is to replace T by an arbitrary function f(T ) [41, 42, 46–72], similar to f(R) extensions of GR, and obtain new interesting terms in the field equations.”