Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations

Abstract

We use observational data from the S2 star orbiting around the Galactic Center to constrain a black hole solution of extended teleparallel gravity models. Subsequently, we construct the shadow images of Sgr A${}^{\star }$ black hole. In particular, we constrain the parameter $\alpha =1/\lambda$ which appears in the Born-Infeld $f(T)$ model. In the strong gravity regime we find that the shadow radius increases with the increase of the parameter $\alpha$. Specifically, from the S2 star observations, we find within 1$\sigma$ that the parameter must lie between $0\le \alpha /M^2\le 6\times 10^{-4}$. Consequently, we used the best fit parameters to model the shadow images of Sgr A${}^{\star }$ black hole and then using the Gauss-Bonnet theorem we analysed the deflection angle for leading order expansions of the parameter $\alpha$. It is found that within the parameter range, these observables are very close to the Schwarzschild case. Furthermore, using the best fit parameters for the Born-Infeld $f(T)$ model we show the angular diameter is consistent with recent observations for the Sgr A${}^{\star }$ black hole angular diameter $(51.8\pm 2.3)\mu$arcsec and difficult to be distinguished from the GR. For the deflection angle of light, in leading order terms, we find that the deflection angle expressed in the ADM mass coincides with the GR, but the ADM mass in the Born-Infeld $f(T)$ gravity increases with the increase of $\alpha$ and the overall deflection angle is expected to me greater in $f(T)$ gravity. As a consequence of this fact, we have shown that the electromagnetic intensity observed in shadow images is smaller compared to GR.

12 pages, accepted for publication in The European Physical Journal C

References in corpus (29)

• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• On Born-Infeld Gravity in Weitzenbock spacetime
• First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. II. EHT and Multi-wavelength Observations, Data Processing, and Calibration
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• The Shadow of a Spherically Accreting Black Hole
• Ultra Light Boson Dark Matter and Event Horizon Telescope Observations of M87*
• Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm
• Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
• QED Effect on Black Hole Shadow
• New classes of modified teleparallel gravity models
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Cosmological bouncing solutions in f(T,B) gravity
• Testing Rotating Regular Metrics as Candidates for Astrophysical Black Holes
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• The geodesic motion of S2 and G2 as a test of the fermionic dark matter nature of our galactic core
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Rotating black holes without ${\mathbb{Z}}_2$ symmetry and their shadow images
• Static spherically symmetric black holes in weak f(T)-gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Does the shape of the shadow of a black hole depend on motional status of an observer?
• Scalarized Black Holes in Teleparallel Gravity
• The regular black hole in four dimensional Born-Infeld gravity
• Constraining MOdified Gravity with the S2 Star
• BTZ gems inside regular Born-Infeld black holes

Cited by in corpus (22)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Dark matter spike around Bumblebee black holes
• Testing black hole mimickers with the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Quantum effects on the black hole shadow and deflection angle in presence of plasma
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• The Galactic Center as a laboratory for theories of gravity and dark matter
• Effect of magnetized plasma on shadow and gravitational lensing of a Reissner-Nordström black hole
• Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity
• Kerr-Newman Black Holes in Weyl-Cartan Theory: Shadows and EHT constraints
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• A Study of Black Holes in $F(R)-$ModMax Gravity: Gravitational Lensing and Constraints from EHT Observations
• Observable Signatures of RN Black Holes with Dark Matter Halos via Strong Gravitational Lensing and Constraints from EHT Observations
• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• Modified Kerr black holes surrounded by dark matter spike
• Constraining a disformal Schwarzschild black hole in DHOST theories with the orbit of the S2 star
• Testing non-local gravity through Ultra-Diffuse Galaxies kinematics
• Probing Dark Energy Properties in $fQ,C)$ Gravity with FLRW Cosmological Models
• Distinctive Features of Hairy Black Holes in Teleparallel Gauss-Bonnet Gravity
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Shadow of rotating black holes with consistent thermodynamics
• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity