Traversable wormholes in minimally geometrical deformed trace-free gravity using gravitational decoupling

Piyachat Panyasiripan (School of Science, Walailak University, Nakhon Si Thammarat, Thailand) ; Narakorn Kaewkhao (Department of Physics, Faculty of Science, Prince of Songkla University, Hatyai, Thailand) ; Phongpichit Channuie (School of Science, Walailak University, Nakhon Si Thammarat, Thailand; College of Graduate Studies, Walailak University, Nakhon Si Thammarat, Thailand) ; Ali Övgün (Physics Department, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Turkiye)

In this work, we investigate wormhole solutions through the utilization of gravitational decoupling, employing the Minimal Geometric Deformation (MGD) procedure within the framework of Trace-Free Gravity. We base our investigation on static and spherically symmetric Morris-Thorne traversable wormholes, considering both constant and variable equation of state parameters. We derive the field equations and extract the shape function for each scenario. Moreover, we explore the gravitational decoupling technique and examine various forms of energy density for both a smeared and particle-like gravitational source, encompassing the realm of noncommutative geometry and a statically charged fluid. We also examinethe wormhole geometry through the utilization of embedding diagrams. Through our analysis, we uncover a violation of the Null Energy Condition (NEC). To conclude, we employ the Gauss-Bonnet theorem to determine the weak deflection angle for the wormhole configurations.

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      "surname": "Kaewkhao", 
      "email": "naragorn.k@psu.ac.th", 
      "full_name": "Kaewkhao, Narakorn", 
      "given_names": "Narakorn"
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      "surname": "\u00d6vg\u00fcn", 
      "email": "ali.ovgun@emu.edu.tr", 
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      "value": "In this work, we investigate wormhole solutions through the utilization of gravitational decoupling, employing the Minimal Geometric Deformation (MGD) procedure within the framework of Trace-Free Gravity. We base our investigation on static and spherically symmetric Morris-Thorne traversable wormholes, considering both constant and variable equation of state parameters. We derive the field equations and extract the shape function for each scenario. Moreover, we explore the gravitational decoupling technique and examine various forms of energy density for both a smeared and particle-like gravitational source, encompassing the realm of noncommutative geometry and a statically charged fluid. We also examinethe wormhole geometry through the utilization of embedding diagrams. Through our analysis, we uncover a violation of the Null Energy Condition (NEC). To conclude, we employ the Gauss-Bonnet theorem to determine the weak deflection angle for the wormhole configurations."
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Published on:
16 May 2024
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 1004 C (2024)

Article ID: 116563
DOI:
https://doi.org/10.1016/j.nuclphysb.2024.116563
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: