Traversable Wormhole Geometries in f(Q) Gravity

被引:119
作者
Hassan, Zinnat [1 ]
Mandal, Sanjay [1 ]
Sahoo, P. K. [1 ]
机构
[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, India
来源
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2021年 / 69卷 / 06期
关键词
energy conditions; equation of state; f(Q) gravity; symmetric teleparallel gravity; Wormhole geometry; ENERGY;
D O I
10.1002/prop.202100023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The current interests in the universe motivate us to go beyond Einstein's General theory of relativity. One of the interesting proposals comes from a new class of teleparallel gravity named symmetric teleparallel gravity, i.e., f(Q) gravity, where the non-metricity term Q is accountable for fundamental interaction. These alternative modified theories of gravity's vital role are to deal with the recent interests and to present a realistic cosmological model. This manuscript's main objective is to study the traversable wormhole geometries in f(Q) gravity. We construct the wormhole geometries for three cases: (i) by assuming a relation between the radial and lateral pressure, (ii) considering phantom energy equation of state (EoS), and (iii) for a specific shape function in the fundamental interaction of gravity (i.e. for linear form of f(Q)). Besides, we discuss two wormhole geometries for a general case of f(Q) with two specific shape functions. Then, we discuss the viability of shape functions and the stability analysis of the wormhole solutions for each case. We have found that the null energy condition (NEC) violates each wormhole model which concluded that our outcomes are realistic and stable. Finally, we discuss the embedding diagrams and volume integral quantifier to have a complete view of wormhole geometries.
引用
收藏
页数:15
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