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Shadow of a rotating squashed Kaluza-Klein black hole

Fen LongInstitute of Physics and Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, 36 Lushan Road, Changsha, Hunan, 410081, People’s Republic of ChinaJieci WangInstitute of Physics and Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, 36 Lushan Road, Changsha, Hunan, 410081, People’s Republic of ChinaSongbai ChenCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 88 South University Ave., Yangzhou, 225009, ChinaJiliang JingCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 88 South University Ave., Yangzhou, 225009, China
2019en
ABI

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A bstract We study the shadow of a rotating squashed Kaluza-Klein (KK) black hole and the shadow is found to possess distinct properties from those of usual rotating black holes. It is shown that the shadow for a rotating squashed KK black hole is heavily influenced by the specific angular momentum of photon from the fifth dimension. Especially, as the parameters lie in a certain special range, there is no any shadow for a black hole, which does not emerge for the usual black holes. In the case where the black hole shadow exists, the shadow shape is a perfect black disk and its radius decreases with the rotation parameter of the black hole. Moreover, the change of the shadow radius with extra dimension parameter also depends on the rotation parameter of black hole. Finally, with the latest observation data, we estimate the angular radius of the shadow for the supermassive black hole Sgr A ∗ at the centre of the Milky Way galaxy and the supermassive black hole in M 87.

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