Deflection angle and lensing signature of covariant f(T) gravity

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 comparing to General Relativity. Furthermore, we calculate the deflection angle and then the differences of the positions and magnifications in the lensing framework. This effect of consistent $f(T)$ gravity on the lensing features can serve as an observable signature in the realistic cases where $f(T)$ is expected to deviate only slightly from General Relativity, since lensing scales in general are not restricted as in the case of Solar System data, and therefore deviations from General Relativity could be observed more easily.

arXiv comment18 pages, 1 figure

References in corpus (91)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Weak Gravitational Lensing
• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Schwarzschild black hole lensing
• The teleparallel equivalent of general relativity
• Shadows and strong gravitational lensing: a brief review
• Matter Bounce Cosmology with the f(T) Gravity
• Gravitational Lensing
• Equation of state for dark energy in $f(T)$ gravity
• Weak Gravitational Lensing and its Cosmological Applications
• Cosmological perturbations in f(T) gravity
• The covariant formulation of f(T) gravity
• Modified teleparallel theories of gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• "Teleparallel" Dark Energy
• Cosmography in f(T)-gravity
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Teleparallel Palatini theories
• Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case
• Existence of relativistic stars in f(T) gravity
• Growth factor in f(T) gravity
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• On the covariance of teleparallel gravity theories
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• Static Solutions with Spherical Symmetry in f(T) Theories
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Covariant formulation of scalar-torsion gravity
• Cosmological applications of $F(T,T_G)$ gravity
• Noether Symmetry in $f(T)$ Theory
• $f(T)$ gravity after GW170817 and GRB170817A
• Model-independent reconstruction of $f(T)$ gravity from Gaussian Processes
• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
• Modified teleparallel theories of gravity in symmetric spacetimes
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Interpreting cosmological tensions from the effective field theory of torsional gravity
• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Bayesian analysis of $f(T)$ gravity using $f{\sigma }_8$ data
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Cosmological dynamics of tachyonic teleparallel dark energy
• Stable and self-consistent compact star models in teleparallel gravity
• Einstein Static Universe in Exponential $f(T)$ Gravity
• A spherically-symmetric charged-dS solution in f(T) gravity theories
• $f(T)$ gravity: effects on astronomical observation and Solar System experiments and upper-bounds
• Spin Connection and Renormalization of Teleparallel Action
• Strong Gravitational Lensing by Kiselev Black Hole
• Photon sphere and perihelion shift in weak $f(T)$ gravity
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• Stability of the flat FLRW metric in $f(T)$ gravity
• Relativistic compact stars in $f(T)$ gravity admitting conformal motion
• Modified gravity: a unified approach
• Birkhoff's theorem in the f(T) gravity
• Solar System Tests in Modified Teleparallel Gravity
• New observational constraints on $f(T)$ cosmology from radio quasars
• Data-driven Reconstruction of the Late-time Cosmic Acceleration with f(T) Gravity
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Can $f(T)$ gravity resolve the $H_0$ tension?
• Testing the equivalence principle via the shadow of black holes
• Effective gravitational coupling in modified teleparallel theories
• The Spherically Symmetric Vacuum in Covariant $F(T)=T+\frac{\alpha }{2}{T}^2+\mathcal{O}(T^{\gamma })$ Gravity Theory
• Holographic Renormalization in Teleparallel Gravity
• Vacuum spherically symmetric solutions in $f(T)$ gravity
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
• Static spherically symmetric black holes in weak f(T)-gravity
• Cosmological applications of Myrzakulov gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Charged Black Holes in Generalized Teleparallel Gravity
• New test on general relativity and $f(T)$ torsional gravity from galaxy-galaxy weak lensing surveys
• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
• $H_0$ Tension and the Phantom Regime: A Case Study In Terms of an Infrared $f(T)$ Gravity
• Toward a concordance teleparallel Cosmology I: Background Dynamics
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• On Conserved Quantities for the Schwarzschild Black Hole in Teleparallel Gravity
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Phenomenological Reconstruction of $f(T)$ Teleparallel Gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Light bending in $f(T)$ gravity
• General Teleparallel Modifications of Schwarzschild Geometry

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• Galaxy-galaxy lensing data: $f(T)$ gravity challenges General Relativity
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom
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