The cosmological model with a wormhole and Hawking temperature near apparent horizon

In this paper, a cosmological model with an isotropic form of the Morris–Thorne type wormhole was derived in a similar way to the McVittie solution to the black hole in the expanding universe. By solving Einstein's field equation with plausible matter distribution, we found the exact solution o...

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Main Author: Sung-Won Kim
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318301928
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spelling doaj-4296e3f817c24123aa9b8f9b385330ac2020-11-24T21:13:54ZengElsevierPhysics Letters B0370-26932018-05-01780174180The cosmological model with a wormhole and Hawking temperature near apparent horizonSung-Won Kim0Department of Science Education, Ewha Womans University, Seoul 03760, Republic of KoreaIn this paper, a cosmological model with an isotropic form of the Morris–Thorne type wormhole was derived in a similar way to the McVittie solution to the black hole in the expanding universe. By solving Einstein's field equation with plausible matter distribution, we found the exact solution of the wormhole embedded in Friedmann–Lemaître–Robertson–Walker universe. We also found the apparent cosmological horizons from the redefined metric and analyzed the geometric natures, including causal and dynamic structures. The Hawking temperature for thermal radiation was obtained by the WKB approximation using the Hamilton–Jacobi equation and Hamilton's equation, near the apparent cosmological horizon.http://www.sciencedirect.com/science/article/pii/S0370269318301928
collection DOAJ
language English
format Article
sources DOAJ
author Sung-Won Kim
spellingShingle Sung-Won Kim
The cosmological model with a wormhole and Hawking temperature near apparent horizon
Physics Letters B
author_facet Sung-Won Kim
author_sort Sung-Won Kim
title The cosmological model with a wormhole and Hawking temperature near apparent horizon
title_short The cosmological model with a wormhole and Hawking temperature near apparent horizon
title_full The cosmological model with a wormhole and Hawking temperature near apparent horizon
title_fullStr The cosmological model with a wormhole and Hawking temperature near apparent horizon
title_full_unstemmed The cosmological model with a wormhole and Hawking temperature near apparent horizon
title_sort cosmological model with a wormhole and hawking temperature near apparent horizon
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-05-01
description In this paper, a cosmological model with an isotropic form of the Morris–Thorne type wormhole was derived in a similar way to the McVittie solution to the black hole in the expanding universe. By solving Einstein's field equation with plausible matter distribution, we found the exact solution of the wormhole embedded in Friedmann–Lemaître–Robertson–Walker universe. We also found the apparent cosmological horizons from the redefined metric and analyzed the geometric natures, including causal and dynamic structures. The Hawking temperature for thermal radiation was obtained by the WKB approximation using the Hamilton–Jacobi equation and Hamilton's equation, near the apparent cosmological horizon.
url http://www.sciencedirect.com/science/article/pii/S0370269318301928
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