Casimir wormholes in modified symmetric teleparallel gravity

被引:71
作者
Hassan, Zinnat [1 ]
Ghosh, Sayantan [1 ]
Sahoo, P. K. [1 ]
Bamba, Kazuharu [2 ]
机构
[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, India
[2] Fukushima Univ, Fac Symbiot Syst Sci, Fukushima 9601296, Japan
来源
EUROPEAN PHYSICAL JOURNAL C | 2022年 / 82卷 / 12期
关键词
M87 EVENT HORIZON; TELESCOPE; CONSTRAINTS; FORCE; FIELD;
D O I
10.1140/epjc/s10052-022-11107-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In recent years there has been a growing interest in the field of Casimir wormhole. In classical general relativity (GR), it is known that the null energy condition (NEC) has to be violated to have a wormhole to be stable. The Casimir effect is an experimentally verified effect that is caused due to the vacuum field fluctuations in quantum field theory. Since the Casimir effect provides the negative energy density, thus this act as an ideal candidate for the exotic matter needed for the stability of the wormhole. In this paper, we study the Casimir effect on the wormhole geometry in modified symmetric teleparallel gravity or f (Q) gravity, where the non-metricity scalar Q drives the gravitation interaction. We consider three systems of the Casimir effect such as (i) two parallel plates, (ii) two parallel cylindrical plates, and (iii) two-sphere separated by a large distance to make it more experimentally feasible. Further, we studied the obtained wormhole solutions for each case with energy conditions at the wormhole throat with radius r0 and found that some arbitrary quantity violates the classical energy conditions at the wormhole throat. Furthermore, the behavior of the equation of state (EoS) is also analyzed for each case. Finally, we investigate the stability of the obtained Casimir effect wormhole solutions with the generalized Tolman-Oppenheimer- Volkoff (TOV) equation.
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页数:18
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