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Information preservation for null shell collapse: a moving mirror model

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Abstract

We propose a new null shell collapse scenario based on an asymptotically drifting moving mirror. The resulting black hole is described in a generalization of the usual tortoise coordinate system, which we refer to as the “giant tortoise coordinate”. The Hawking evaporation yields a total finite energy which preserves unitarity, but spacetime ceases to be continuous across the horizon.

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Notes

  1. In [1], the mirror is called Omex for short, due to the Omega constant, \(\Omega e^{\Omega } = 1\), and exponent argument.

  2. An inversion of the tortoise coordinate itself, Eq. (1), is analytically tractable and the result is in terms of the Lambert W-function [19].

  3. It might be interesting to check the behavior of the apparent horizon, if any, during the collapse. The question of whether a horizon (of any sort) is formed during gravitational collapse when quantum effects are taken into account has recently received renewed attention, see, e.g., [20, 21].

  4. For relevant asymptotically static investigations see [23, 24] and references within.

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Acknowledgements

MG thanks Paul Anderson, Xiong Chi, Eric Linder and Frank Wilczek for stimulating discussions. MG was funded in part from the Julian Schwinger Foundation under Grant 15-07-0000 and the ORAU and Social Policy grants at Nazarbayev University. MG also thanks the Center for Gravitation and Cosmology of Yangzhou University for hospitability during his visit. YCO acknowledges National Natural Science Foundation of China (No. 11705162), Natural Science Foundation of Jiangsu Province (No. BK20170479) for funding support, he also thanks Grant No. 17Z102060070 of China Postdoctoral Science Foundation Fund.

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Authors and Affiliations

  1. Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, China

    Y. C. Ong

  2. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, China

    Y. C. Ong

  3. Department of Physics, School of Science and Technology, Nazarbayev University, Astana, Kazakhstan

    M. R. R. Good, A. Myrzakul & K. Yelshibekov

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  1. M. R. R. Good
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  2. Y. C. Ong
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  3. A. Myrzakul
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  4. K. Yelshibekov
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Correspondence to Y. C. Ong.

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Good, M.R.R., Ong, Y.C., Myrzakul, A. et al. Information preservation for null shell collapse: a moving mirror model. Gen Relativ Gravit 51, 92 (2019). https://doi.org/10.1007/s10714-019-2575-5

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