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C. G. Böhmer and F. Fiorini, “The regular black hole in four dimensional Born–Infeld gravity,” Class. Quant. Grav
Original
1901
Earlier work this paper cites.
M. Hohmann, L. Järv, M. Krššák, and C. Pfeifer, “Modified teleparallel theories of gravity in symmetric spacetimes,” arXiv:1901.05472 [gr-qc]
Original
1901
Earlier work this paper cites.
R. C. Nunes, M. E. S. Alves, and J. C. N. de Araujo, “Forecast constraints on f ⁡ ( T ) f(T) gravity with gravitational waves from compact binary coalescences,” arXiv:1905.03237 [gr-qc]
Original
1905
Earlier work this paper cites.
Event Horizon Telescope
Original
1906
Earlier work this paper cites.
R. Ferraro and F. Fiorini, “Modified teleparallel gravity: Inflation without inflaton,” Phys. Rev
2007
Earlier work this paper cites.
G. R. Bengochea and R. Ferraro, “Dark torsion as the cosmic speed-up,” Phys. Rev
Original
2009
Earlier work this paper cites.
Y.-F. Cai, S.-H. Chen, J. B. Dent, S. Dutta, and E. N. Saridakis, “Matter Bounce Cosmology with the f(T) Gravity,” Class. Quant. Grav
Original
2011
Earlier work this paper cites.
K. Bamba, C.-Q. Geng, C.-C. Lee, and L.-W. Luo, “Equation of state for dark energy in f ⁡ ( T ) f(T) gravity,” JCAP
Original
2011
Earlier work this paper cites.
J. B. Dent, S. Dutta, and E. N. Saridakis, “f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis,” JCAP
Original
2011
Earlier work this paper cites.
R. Ferraro and F. Fiorini, “Spherically symmetric static spacetimes in vacuum f(T) gravity,” Phys. Rev
Original
2011
Earlier work this paper cites.
C. G. Boehmer, A. Mussa, and N. Tamanini, “Existence of relativistic stars in f(T) gravity,” Class. Quant. Grav
Original
2011
Earlier work this paper cites.
N. Tamanini and C. G. Boehmer, “Good and bad tetrads in f(T) gravity,” Phys. Rev
Original
2012
Earlier work this paper cites.
M. H. Daouda, M. E. Rodrigues, and M. J. S. Houndjo, “Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity,” Phys. Lett
Original
2012
Earlier work this paper cites.

Similar

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R. Aldrovandi and J. G. Pereira, Teleparallel Gravity , vol. 173 · 2013
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M. Jamil, D. Momeni, and R. Myrzakulov, “Wormholes in a viable f(T) gravity,” Eur. Phys. J
Original
2013
Cited alongside, same era.
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Original
2014
Cited alongside, same era.
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Original

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M. Pace and J. L. Said, “A perturbative approach to neutron stars in f ⁡ ( T , 𝒯 ) f(T,\mathcal{T}) -gravity,” Eur. Phys. J
Original
2017
Later among the works it cites.
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Original
2017
Later among the works it cites.
A. Golovnev, T. Koivisto, and M. Sandstad, “On the covariance of teleparallel gravity theories,” Class. Quant. Grav
Original
2017
Later among the works it cites.
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Original
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2019

Photon sphere and perihelion shift in weak $f(T)$ gravity

Bahamonde, Sebastian, Flathmann, Kai, Pfeifer, Christian

Understand

Among modified theories of gravity, the teleparallel $f(T)$ gravity is an intensively discussed modelin the literature.

The best way to investigate its viabilityis to derive observable predictions which yield evidence or constraints for the model, when compared with actual observations.
In this paper we derive the photon sphere and the perihelion shift for weak $f(T)$ perturbations of general relativity.
We consistently calculate first order teleparallel perturbations of Schwarzschild and Minkowski spacetime geometry, with which we improve and extend existing results in the literature.