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Progress in Mathematical Relativity, Gravitation and Cosmology pp 427–431Cite as

Dynamics of Apparent Horizons in Quantum Gravitational Collapse

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 60))

Abstract

We study the gravitational collapse of a massless scalar field within the effective scenario of loop quantum gravity. Classical singularity is avoided and replaced by a quantum bounce in this model. It is shown that, quantum gravity effects predict a threshold scale bellow which no horizon can form as the collapse evolves towards the bounce.

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References

  1. Y. Tavakoli, A. Dapor and J. Marto, in preparation.

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Acknowledgements

The authors would like to thank R. Goswami and J. Velhinho for the useful discussion and suggestions. YT is supported by the FCT (Portugal) through the fellowship SFRH/BD/43709/2008.

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade da Beira Interior, 6200, Covilhã, Portugal

    Yaser Tavakoli & João Marto

  2. Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681, Warsaw, Poland

    Andrea Dapor

Authors
  1. Yaser Tavakoli
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  2. Andrea Dapor
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  3. João Marto
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Corresponding author

Correspondence to Yaser Tavakoli .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of Minho, Braga, Portugal

    Alfonso García-Parrado

  2. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe C. Mena

  3. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe Moura

  4. Dept. of Mathematics, University of Minho, Braga, Portugal

    Estelita Vaz

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Tavakoli, Y., Dapor, A., Marto, J. (2014). Dynamics of Apparent Horizons in Quantum Gravitational Collapse. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_65

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