Conformal transformation in f(T) theories

By Rongjia Yang. 2010

193 citations recorded by the source corpus.

It is well known that f(R) theories are dynamically equivalent to a particular class of scalar-tensor theories. In analogy to the f(R) extension of the Einstein-Hilbert action of general relativity, f(T) theories are generalizations of the action of teleparallel gravity. The field equations are always second order, remarkably simpler than f(R) theories. It is interesting to investigate whether f(T) theories have the similar conformal features possessed in f(R) theories. It is shown, however, that f(T) theories are not dynamically equivalent to teleparallel action plus a scalar field via conformal transformation, since there appears an additional scalar-torsion coupling term. We discuss briefly what constraint of this coupling term may be put on f(T) theories from observations of the solar system.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/062555bcc029653cecc7351c49e403aa7efdf9ba

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Citations in the corpus

Teleparallel theories of gravity: illuminating a fully invariant approach (2018, result): “This is a generalization of the result previously obtained in f (T) gravity [100, 101].”
f(T) teleparallel gravity and cosmology (2015, background): “The richness of the resulting theory comparing to GR quintessence is additionally manifested in the fact that, although in the latter one can perform a conformal transformation and transit to an “equivalent”, minimallycoupled, theory with transformed field and potential [560–564], in the former such”
Modified Gravity and Cosmology (2011, background): “A large number of papers have followed [135] in a short space of time, exploring the transition from deceleration to acceleration, observational constraints, conformal transformations, and structure formation [815, 1287, 932, 1288, 1227, 289, 134, 1286, 78, 933, 681, 1293, 1308, 79].”
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.”
Solar system constraints on f(T) gravity (2012, unknown): “…al (2010), Wu & Yu (2010a), Chen et al. (2011), Wu & Yu (2011a), Bamba et al. (2010), Dent et al. (2011), Zheng & Huang (2011), Bamba et al. (2011), Yang (2011), Zhang et al. (2011), Cai et al. (2011), Chattopadhyay & Debnath (2011), Sharif & Rani (2011), Wei et al. (2011a), Ferraro & Fiorini…”