Constraining the tidal charge of brane black holes using their shadows
Juliano C. S. Neves
Abstract
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 $$\lesssim 10\%$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>≲</mml:mo><mml:mn>10</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math> leads to an upper bound on the tidal charge $$\lesssim 0.004M^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>≲</mml:mo><mml:mn>0.004</mml:mn><mml:msup><mml:mi>M</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math> .