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Gravitational Microlensing by Ellis Wormhole: Second Order Effects

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Abstract

Gravitational lensing is the effect of light bending in a gravitational field. It can be used as a possible observational method to detect or exclude the existence of wormholes. In this work, we extend the work by Abe on gravitational microlensing by Ellis wormhole by including the second order deflection term. Using the lens equation and definition of Einstein radius, we find the angular locations of the physical image inside and outside Einstein ring. The work contains a comparative analysis of light curves between the Schwarzschild black hole and the Ellis wormhole that can be used to distinguish such objects though such distinctions are too minute to be observable even in the near future. We also tabulate the optical depth and event rate for lensing by bulge and Large Magellanic Cloud (LMC) stars.

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Notes

  1. Note that stability of wormholes is an important question. In this context, the stability regions of the thin-shell wormholes obtained by gluing the exterior Schwarzschild vacuum with two distinct classes of Ellis wormholes were investigated in [10]. Further, it has been shown that stability of Ellis wormholes depends on the location of the observer in complete accordance with the principles of general relativity [11].

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Acknowledgment

Part of this work was supported by the Russian Foundation for Basic Research under Grant No. 16-32-00323.

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Authors and Affiliations

  1. Zel’dovich International Center for Astrophysics, M. Akmullah Bashkir State Pedagogical University, Ufa, 450000, RB, Russia

    Regina Lukmanova, Aliya Kulbakova & Ramil Izmailov

  2. Department of Physics & Astronomy, Bashkir State University, Sterlitamak Campus, Sterlitamak, 453103, RB, Russia

    Alexander A. Potapov

Authors
  1. Regina Lukmanova
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  2. Aliya Kulbakova
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  3. Ramil Izmailov
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  4. Alexander A. Potapov
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Correspondence to Regina Lukmanova.

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Lukmanova, R., Kulbakova, A., Izmailov, R. et al. Gravitational Microlensing by Ellis Wormhole: Second Order Effects. Int J Theor Phys 55, 4723–4730 (2016). https://doi.org/10.1007/s10773-016-3095-7

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  • DOI: https://doi.org/10.1007/s10773-016-3095-7

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