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

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arxiv 1209.5232 v3 pith:E3P4VORH submitted 2012-09-24 gr-qc

classification gr-qc
keywords blackholesphantomnormaleinstein-maxwell-dilatonformulageodesicsidentification
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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). Such identification is also possible via the time delay formula and observation of relativistic images. Scattering experiencesmay 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.

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  1. The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

    gr-qc 2025-08 conditional novelty 5.0 of 10

    For exact asymptotically flat hairy charged black holes with a dilaton potential, the shadow radius, photon-orbit Lyapunov exponent, and scalar quasinormal frequencies are computed, showing strong coupling dependence ...

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