Wave optics in spacetimes with compact gravitating object

Yasusada Nambu, Sousuke Noda, and Yuichiro Sakai

Phys. Rev. D 100, 064037 – Published 20 September 2019

Abstract

We investigate the wave optics in spherically symmetric spacetimes: Schwarzschild black hole, spherical star with a perfect absorbing surface, and massless/massive Ellis wormholes. Assuming a point wave source, wave patterns and power spectrums for scattering waves are obtained by solving the scalar wave equation numerically. We found that the power spectrum at the observer in the forward direction shows oscillations with two characteristic periods determined by the interference effect associated with the photon sphere and the diffraction effect due to the absorbing boundary condition inside of the photon sphere.

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Received 7 May 2019

DOI:https://doi.org/10.1103/PhysRevD.100.064037

Physics Subject Headings (PhySH)

Classical black holes

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Yasusada Nambu ^*

Department of Physics, Graduate School of Science, Nagoya University, Chikusa, Nagoya 464-8602, Japan

Sousuke Noda^†

Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China and Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho Sakyoku, Kyoto 606-8502, Japan

Yuichiro Sakai

Department of Physics, Graduate School of Science, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

^*nambu@gravity.phys.nagoya-u.ac.jp
^†sousuke.noda@yukawa.kyoto-u.ac.jp

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Vol. 100, Iss. 6 — 15 September 2019

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Physical Review D

covering particles, fields, gravitation, and cosmology