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Entropy 2016, 18(8), 287;

Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe

Department of Mathematics, Jadavpur University, Kolkata 700032, India
Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, India
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha 55134-441, Iran
Dipartimento di Fisica, Scuola Superiore di Studi Universitari e Ricerca “Santa Rita”, via Trasaghis 18/E, Roma 00188, Italy
Austro-Ukrainian Institute for Science and Technology, Institut fur Theoretishe Physik, Technische Universität, Wiedner Hauptstrasse 8-10/136, Wien A-1040, Austria
International Institute for Applicable Mathematics & Information Sciences (IIAMIS), B.M. Birla Science Centre, Adarsh Nagar, Hyderabad 500-463, India
Author to whom correspondence should be addressed.
Academic Editors: Ignazio Licata and Kevin H. Knuth
Received: 7 June 2016 / Revised: 21 July 2016 / Accepted: 28 July 2016 / Published: 8 August 2016
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
Full-Text   |   PDF [273 KB, uploaded 8 August 2016]


The present work deals with the semi-classical tunnelling approach and the Hamilton–Jacobi method to study Hawking radiation from the dynamical horizon of both the homogeneous Friedmann–Robertson–Walker (FRW) model and the inhomogeneous Lemaitre–Tolman–Bondi (LTB) model of the Universe. In the tunnelling prescription, radial null geodesics are used to visualize particles from behind the trapping horizon and the Hawking-like temperature has been calculated. On the other hand, in the Hamilton–Jacobi formulation, quantum corrections have been incorporated by solving the Klein–Gordon wave equation. In both the approaches, the temperature agrees at the semiclassical level. View Full-Text
Keywords: Hawking-like temperature; Hamilton–Jacobi method; tunnelling of particles Hawking-like temperature; Hamilton–Jacobi method; tunnelling of particles
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chakraborty, S.; Saha, S.; Corda, C. Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe. Entropy 2016, 18, 287.

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