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Remarks on null geodesics of Born-Infeld black holes. (English) Zbl 1251.83031

Summary: We present interesting properties of null geodesics of static charged black holes in Einstein-Born-Infeld gravity. These null geodesics represents the path for gravitons. In addition, we also study the path of photons for the Born-Infeld black hole which are null geodesics of an effective geometry. We will present how the bending of light is effected by the non-linear parameter \(\beta\) of the theory. Some other properties, such as the horizon radius and the temperature are also discussed in the context of the nonlinear parameter \(\beta\).

MSC:

83C57 Black holes
53C22 Geodesics in global differential geometry
83C22 Einstein-Maxwell equations
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C50 Electromagnetic fields in general relativity and gravitational theory
80A10 Classical and relativistic thermodynamics
83C10 Equations of motion in general relativity and gravitational theory
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