2021
DOI: 10.48550/arxiv.2105.04578
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Deflection angle and lensing signature of covariant f(T) gravity

Xin Ren,
Yaqi Zhao,
Emmanuel N. Saridakis
et al.

Abstract: We calculate the deflection angle, as well as the positions and magnifications of the lensed images, in the case of covariant f (T ) gravity. We first extract the spherically symmetric solutions for both the pure-tetrad and the covariant formulation of the theory, since considering spherical solutions the extension to the latter is crucial, in order for the results not to suffer from frame-dependent artifacts. Applying the weak-field, perturbative approximation we extract the deviations of the solutions compar… Show more

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Cited by 10 publications
(24 citation statements)
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“…The above invariants reveal the presence of the singularity at r = 0 as expected, which is more mild than the case of simple TEGR, a known feature of higher-order torsional theories [7,56,60,80].…”
Section: B Invariantssupporting
confidence: 66%
“…The above invariants reveal the presence of the singularity at r = 0 as expected, which is more mild than the case of simple TEGR, a known feature of higher-order torsional theories [7,56,60,80].…”
Section: B Invariantssupporting
confidence: 66%
“…This conclusion is expected to hold true even if the universal and EoS-independent relation between that baryonic and gravitational masses for static NSs is found. However, in order to be accurate, one must perform similar calculations for spherical symmetric spacetimes in other modified gravities, like f (T ) gravity [77,78] or even Einstein-Gauss-Bonnet gravity [79].…”
Section: Discussionmentioning
confidence: 99%
“…Thus automatically, one has available the lowest astrophysical black hole mass limit. Finally, let us comment that the same procedure performed in this paper, can be applied in other modified gravity theories, such as f (T ) gravity, in which the spherically symmetric solutions have also extended terms similar to the ones of f (R) gravity, see for example [12,13].…”
mentioning
confidence: 86%