Semiclassical environment of collapsing shells

Banerjee, Kinjal; Paranjape, Aseem

doi:10.1103/PHYSREVD.80.124006

Title: Semiclassical environment of collapsing shells

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Abstract

We explore in detail the semiclassical environment of collapsing shells of matter, and determine the semiclassical flux measured by a variety of observers. This study is a preliminary step in a broader investigation of thermodynamic properties of the geometry of collapsing objects. Specifically, in this paper we consider spherically symmetric null and timelike collapsing shells which form an event horizon, and calculate the flux measured by observers both inside and outside the shell, and both inside and outside the event horizon, and find nontrivial results in most of the cases. Additionally, we also investigate the environment of a shell which collapses but does not form a horizon, halting at some radius larger than the Schwarzschild radius, and find that such an object generically gives rise to a pulse of radiation which is sharply peaked as it travels inwards and is reflected at the origin, and eventually emerges from the shell in a thermalized form. Our results have potential consequences in addressing questions pertaining, e.g. to black hole entropy and backreaction.

Authors:

Banerjee, Kinjal; Paranjape, Aseem ^[1]

IUCAA, Post Bag 4, Ganeshkhind, Pune-411 007 (India)

Publication Date:: Tue Dec 15 00:00:00 EST 2009

OSTI Identifier:: 21313598

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 80; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.80.124006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; BLACK HOLES; ENTROPY; MATTER; POTENTIALS; PULSES; SCHWARZSCHILD RADIUS; SEMICLASSICAL APPROXIMATION; SYMMETRY; THERMODYNAMIC PROPERTIES

Citation Formats


                    Banerjee, Kinjal, Paranjape, Aseem, and Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai-400 005. Semiclassical environment of collapsing shells.  United States: N. p., 2009. 
        Web.  doi:10.1103/PHYSREVD.80.124006.

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                    Banerjee, Kinjal, Paranjape, Aseem, & Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai-400 005. Semiclassical environment of collapsing shells.  United States.  https://doi.org/10.1103/PHYSREVD.80.124006

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                    Banerjee, Kinjal, Paranjape, Aseem, and Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai-400 005. 2009.  
        "Semiclassical environment of collapsing shells".  United States.  https://doi.org/10.1103/PHYSREVD.80.124006.

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@article{osti_21313598,

  title        = {Semiclassical environment of collapsing shells},

  author       = {Banerjee, Kinjal and Paranjape, Aseem and Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai-400 005},

  abstractNote = {We explore in detail the semiclassical environment of collapsing shells of matter, and determine the semiclassical flux measured by a variety of observers. This study is a preliminary step in a broader investigation of thermodynamic properties of the geometry of collapsing objects. Specifically, in this paper we consider spherically symmetric null and timelike collapsing shells which form an event horizon, and calculate the flux measured by observers both inside and outside the shell, and both inside and outside the event horizon, and find nontrivial results in most of the cases. Additionally, we also investigate the environment of a shell which collapses but does not form a horizon, halting at some radius larger than the Schwarzschild radius, and find that such an object generically gives rise to a pulse of radiation which is sharply peaked as it travels inwards and is reflected at the origin, and eventually emerges from the shell in a thermalized form. Our results have potential consequences in addressing questions pertaining, e.g. to black hole entropy and backreaction.},

  doi          = {10.1103/PHYSREVD.80.124006},

  url          = {https://www.osti.gov/biblio/21313598},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 12,

  volume       = 80,

  place        = {United States},

  year         = {Tue Dec 15 00:00:00 EST 2009},

  month        = {Tue Dec 15 00:00:00 EST 2009}

}

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