Constraining the tidal charge of brane black holes using their shadows

Abstract

A constraint on the tidal charge generated within a brane world is shown. Using the shadow of a rotating black hole in a brane context in order to describe the M87* parameters recently announced by the Event Horizon Telescope Collaboration, the deviation from circularity of the reported shadow produces an upper bound on the bulk’s nonlocal effect, which is conceived of as a tidal charge in the four-dimensional brane induced by the five-dimensional bulk. Therefore, a deviation from circularity $$\lesssim 10\%$$≲10% leads to an upper bound on the tidal charge $$\lesssim 0.004M^2$$≲0.004M2.

Weak Deflection Angle and Shadow by Tidal Charged Black Hole

“…After that, we calculate the radius of the shadow and show its image in the far away observer's sky, using the celestial coordinates (α,β). Hence, we show the shadow of the black hole by changing the values of the dimensionless tidal charge q, using the constraints from the astronomical observations on the upper limiting values on the tidal charge parameters [12,14]. In Figure 4, we also discuss the radius of the shadow for positive and negative values of q.…”

“…Moreover, Zakharov has studied constraints on a charge in the Reissner-Nordström metric for the black hole at the Galactic Center [11], and then has showed constraints on the tidal charge of the supermassive black hole at the Galactic Center with trajectories of bright stars [12]. Neves also has studied constraining the tidal charge of brane black holes, using their shadows [14]. Recently, Kocherlakota et al presented constraints on black hole charge from observations of M87 * in 2017 [91], where the authors used the dependence of the shadow size on the black hole charge for the Reissner-Nordstrom metric.…”

“…We plot the shadow of the black hole by changing the values of the dimensionless tidal charge q, using the constraints from the astronomical observations on the upper limiting values on the tidal charge parameters [12,14]. In this plot, we also discuss the shadow for positive and negative values of q.…”

Weak Deflection angle and Shadow by Tidal Charged Black Hole

“…Moreover, Zakharov has studied constraints on a charge in the Reissner-Nordstr öm metric for the black hole at the Galactic Center [11], and then has showed constraints on tidal charge of the supermassive black hole at the Galactic Center with trajectories of bright stars [12]. Neves also has studied constraining the tidal charge of brane black holes using their shadows [14]. Recently, Kocherlakota et al have presented constraints on black hole charge from observations of M 87 * in 2017 [90], where the authors used a dependence of shadow size on black hole charge for the Reissner-Nordstrom metric.…”

Weak Deflection Angle and Shadow by Tidal Charged Black Hole

“…Moreover, Zakharov has studied constraints on a charge in the Reissner-Nordstr öm metric for the black hole at the Galactic Center [11], and then has showed constraints on tidal charge of the supermassive black hole at the Galactic Center with trajectories of bright stars [12]. Neves also has studied constraining the tidal charge of brane black holes using their shadows [14]. Recently, Kocherlakota et al have presented constraints on black hole charge from observations of M 87 * in 2017 [91], where the authors used a dependence of shadow size on black hole charge for the Reissner-Nordstrom metric.…”