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arxiv 0805.3146 v2 pith:YE6BOF72 submitted 2008-05-20 gr-qc hep-th

Hidden symmetries, null geodesics, and photon capture in the Sen black hole

classification gr-qc hep-th
keywords blackcapturegeodesicshiddenholekillingnullsymmetries
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Important classes of null geodesics and hidden symmetries in the Sen black hole are investigated. First, we obtain the principal null geodesics and circular photon orbits. Then, an irreducible rank-two Killing tensor and a conformal Killing tensor are derived, which represent the hidden symmetries. Analyzing the properties of Killing tensors, we clarify why the Hamilton-Jacobi and wave equations are separable in this spacetime. We also investigate the gravitational capture of photons by the Sen black hole and compare the result with those by the various charged/rotating black holes and naked singularities in the Kerr-Newman family. For these black holes and naked singularities, we show the capture regions in a two dimensional impact parameter space (or equivalently the ``shadows'' observed at infinity) to form a variety of shapes such as the disk, circle, dot, arc, and their combinations.

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Cited by 3 Pith papers

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