Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe
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 tunne...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-08-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/18/8/287 |
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| author | Subenoy Chakraborty Subhajit Saha Christian Corda |
| author_facet | Subenoy Chakraborty Subhajit Saha Christian Corda |
| author_sort | Subenoy Chakraborty |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T00:53:09Z |
| format | Article |
| id | doaj.art-f7060769f5914fab86537ec48d6c3b00 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T00:53:09Z |
| publishDate | 2016-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-f7060769f5914fab86537ec48d6c3b002022-12-22T02:21:43ZengMDPI AGEntropy1099-43002016-08-0118828710.3390/e18080287e18080287Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the UniverseSubenoy Chakraborty0Subhajit Saha1Christian Corda2Department of Mathematics, Jadavpur University, Kolkata 700032, IndiaDepartment of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, IndiaResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha 55134-441, IranThe 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.http://www.mdpi.com/1099-4300/18/8/287Hawking-like temperatureHamilton–Jacobi methodtunnelling of particles |
| spellingShingle | Subenoy Chakraborty Subhajit Saha Christian Corda Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe Entropy Hawking-like temperature Hamilton–Jacobi method tunnelling of particles |
| title | Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe |
| title_full | Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe |
| title_fullStr | Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe |
| title_full_unstemmed | Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe |
| title_short | Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe |
| title_sort | hawking like radiation from the trapping horizon of both homogeneous and inhomogeneous spherically symmetric spacetime model of the universe |
| topic | Hawking-like temperature Hamilton–Jacobi method tunnelling of particles |
| url | http://www.mdpi.com/1099-4300/18/8/287 |
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