On a Class of Harko-Kovacs-Lobo Wormholes

The Harko, Kovács, and Lobo wormhole (HKLWH) metric contains two free parameters: one is the wormhole throat <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>r</mi><mn>0</mn><...

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Main Authors: Ramis Kh. Karimov, Ramil N. Izmailov, Kamal K. Nandi
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/10/540
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author Ramis Kh. Karimov
Ramil N. Izmailov
Kamal K. Nandi
author_facet Ramis Kh. Karimov
Ramil N. Izmailov
Kamal K. Nandi
author_sort Ramis Kh. Karimov
collection DOAJ
description The Harko, Kovács, and Lobo wormhole (HKLWH) metric contains two free parameters: one is the wormhole throat <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>r</mi><mn>0</mn></msub></semantics></math></inline-formula>, and the other is a dimensionless deviation parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> with values <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo><</mo><mi>γ</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>, the latter ensuring the needed violation of the null energy condition at the throat. In this paper, we study the energetics of the HKLWH and the influence of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> on the tidal forces in the Lorentz-boosted frame. Finally, we apply a new concept, namely, the probabilistic identity of the object observed by different external observers in terms of the Fresnel coefficients derived by Tangherlini. The intriguing result is that observations can differ depending on the location of the observer, i.e., there is a nonzero probability that the HKLWH will be identified as a black hole even when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>γ</mi><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula>.
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spelling doaj.art-e57a2be4f0d247c29470cca5ade545732023-11-24T03:02:00ZengMDPI AGUniverse2218-19972022-10-0181054010.3390/universe8100540On a Class of Harko-Kovacs-Lobo WormholesRamis Kh. Karimov0Ramil N. Izmailov1Kamal K. Nandi2Zel’dovich International Center for Astrophysics, Bashkir State Pedagogical University 3A, October Revolution Street, 450008 Ufa, RB, RussiaZel’dovich International Center for Astrophysics, Bashkir State Pedagogical University 3A, October Revolution Street, 450008 Ufa, RB, RussiaZel’dovich International Center for Astrophysics, Bashkir State Pedagogical University 3A, October Revolution Street, 450008 Ufa, RB, RussiaThe Harko, Kovács, and Lobo wormhole (HKLWH) metric contains two free parameters: one is the wormhole throat <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>r</mi><mn>0</mn></msub></semantics></math></inline-formula>, and the other is a dimensionless deviation parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> with values <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo><</mo><mi>γ</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>, the latter ensuring the needed violation of the null energy condition at the throat. In this paper, we study the energetics of the HKLWH and the influence of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> on the tidal forces in the Lorentz-boosted frame. Finally, we apply a new concept, namely, the probabilistic identity of the object observed by different external observers in terms of the Fresnel coefficients derived by Tangherlini. The intriguing result is that observations can differ depending on the location of the observer, i.e., there is a nonzero probability that the HKLWH will be identified as a black hole even when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>γ</mi><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2218-1997/8/10/540wormholeenergy conditionsFresnel coefficients
spellingShingle Ramis Kh. Karimov
Ramil N. Izmailov
Kamal K. Nandi
On a Class of Harko-Kovacs-Lobo Wormholes
Universe
wormhole
energy conditions
Fresnel coefficients
title On a Class of Harko-Kovacs-Lobo Wormholes
title_full On a Class of Harko-Kovacs-Lobo Wormholes
title_fullStr On a Class of Harko-Kovacs-Lobo Wormholes
title_full_unstemmed On a Class of Harko-Kovacs-Lobo Wormholes
title_short On a Class of Harko-Kovacs-Lobo Wormholes
title_sort on a class of harko kovacs lobo wormholes
topic wormhole
energy conditions
Fresnel coefficients
url https://www.mdpi.com/2218-1997/8/10/540
work_keys_str_mv AT ramiskhkarimov onaclassofharkokovacslobowormholes
AT ramilnizmailov onaclassofharkokovacslobowormholes
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