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Aberrational Effects for Shadows of Black Holes

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Equations of Motion in Relativistic Gravity

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 179))

Abstract

In this paper, we discuss how the shadow of a Kerr black hole depends on the motion of the observer. In particular, we derive an analytical formula for the boundary curve of the shadow for an observer moving with given four-velocity at given Boyer–Lindquist coordinates. We visualize the shadow for various values of parameters.

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Acknowledgments

I would like to thank Volker Perlick, Claus Lämmerzahl, Nico Giulini, Norman Gürlebeck, Eva Hackmann, Valeria Diemer (née Kagramanova), Jutta Kunz and Luciano Rezzolla for helpful discussions. Furthermore, I want to thank Dirk Pützfeld, Claus Lämmerzahl, and Bernard F. Schutz for organizing the 524th WE-Heraeus-Seminar and for the opportunity to contribute to this proceedings volume. The WE-Heraeus foundation deserves my gratitudes for offering poster awards. I gratefully acknowledge support from the DFG within the Research Training Group 1620 “Models of Gravity” and from the “Centre for Quantum Engineering and Space-Time Research (QUEST)”.

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Authors and Affiliations

  1. ZARM, University of Bremen, Am Fallturm, 28359, Bremen, Germany

    Arne Grenzebach

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  1. Arne Grenzebach
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Correspondence to Arne Grenzebach .

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Editors and Affiliations

  1. ZARM University of Bremen, Bremen, Germany

    Dirk Puetzfeld

  2. ZARM University of Bremen, Bremen, Germany

    Claus Lämmerzahl

  3. Max-Planck-Institut für Gravitationsphysik, Golm, Brandenburg, Germany

    Bernard Schutz

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Grenzebach, A. (2015). Aberrational Effects for Shadows of Black Holes. In: Puetzfeld, D., Lämmerzahl, C., Schutz, B. (eds) Equations of Motion in Relativistic Gravity. Fundamental Theories of Physics, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-319-18335-0_25

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