1209.5232 (Mustapha Azreg-Aïnou)

Light paths of normal and phantom Einstein-Maxwell-dilaton black holes    [PDF]

Mustapha Azreg-Aïnou

Null geodesics of normal and phantom Einstein-Maxwell-dilaton black holes are determined analytically by the Weierstrass elliptic functions. The black hole parameters other than the mass enter, with the appropriate signs, the formula for the angle of deflection to the second order in the inverse of the impact parameter allowing for the identification of the nature of matter (phantom or normal). Observation of the so called relativistic images on photon spheres also allows for such a determination. Scattering experiences may favor black holes of Einstein-anti-Maxwell-dilatonic theory for their high relative discrepancy with respect to the Schwarzschild value. For the cases we restrict ourselves to, phantom black holes are characterized by the absence of many-world and two-world null geodesics.

View original: http://arxiv.org/abs/1209.5232