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Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. Moreover, the concept of non-commutative geometry as a…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Anshuman Baruah , Parangam Goswami , Atri Deshamukhya

In this work, we extend the investigation of the consequences of thermal fluctuations on the Casimir effect within the context of a traversable wormhole, recently proposed by Garattini \& Faizal, arXiv:2403.15174 [gr-qc], subject to charge…

High Energy Physics - Theory · Physics 2024-05-24 Phongpichit Channuie

A fundamental property of Morris-Thorne wormholes is the so-called flare-out condition that automatically results in a violation of the null energy condition (NEC) in classical general relativity. By contrast, in $f(R)$ modified gravity,…

General Relativity and Quantum Cosmology · Physics 2020-08-20 Peter K. F. Kuhfittig

In this letter we obtain wormhole solutions from the Karmarkar condition in $f(Q)$ gravity formalism, in which $Q$ is the nonmetricity scalar. We show that the combination of such ingredients provides us the possibility of obtaining…

General Relativity and Quantum Cosmology · Physics 2021-09-09 G. Mustafa , Zinnat Hassan , P. H. R. S. Moraes , P. K. Sahoo

In this work, we analyze the Casimir effect associated with a massive, non-minimally coupled scalar field in static, spherically symmetric black hole spacetimes arising in bumblebee gravity. Three distinct solutions are considered,…

General Relativity and Quantum Cosmology · Physics 2026-03-03 D. S. Cabral , A. A. Araújo Filho , A. F. Santos

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

High Energy Physics - Theory · Physics 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

This paper discusses the possible existence of traversable wormholes in f(R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via several…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Peter K. F. Kuhfittig

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., $f(Q)$…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Zinnat Hassan , Sanjay Mandal , P. K. Sahoo

In this paper we show that wormholes in (2+1) dimensions (3-D) cannot be sourced solely by both Casimir energy and tension, differently from what happens in a 4-D scenario, in which case it has been shown recently, by the direct computation…

General Relativity and Quantum Cosmology · Physics 2021-11-03 G. Alencar , V. B. Bezerra , C. R. Muniz

In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass $m$ around a Schwarzschild black hole with mass $M$, at zero and non-zero temperatures. The procedure consists of…

General Relativity and Quantum Cosmology · Physics 2018-01-10 C. R. Muniz , M. O. Tahim , M. S. Cunha , H. S. Vieira

Bra-ket wormholes are non-trivial saddles in Euclidean gravity. They have to be sustained by negative Casimir energy of matter fields inside the throat. However, Casimir energy is very sensitive to boundary conditions and in presence of…

High Energy Physics - Theory · Physics 2022-12-19 Alexey Milekhin , Amirhossein Tajdini

Whereas the total energy in zero-point fluctuations of the particle physics vacuum gives rise to the cosmological constant problem, differences in the vacuum give rise to real physical phenomena, such as the Casimir effect. Hence we…

Astrophysics · Physics 2007-05-23 R. R. Caldwell

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

Quantum Physics · Physics 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

We show that non-minimal coupling between matter and geometry can indeed help in constructing stable, traversable, wormholes (WHs) without requiring exotic matter under certain conditions. In models like $f({\cal Q},{\cal T})={\cal Q}+\beta…

General Relativity and Quantum Cosmology · Physics 2025-10-02 G. G. L. Nashed , Waleed El Hanafy

Wormholes are non-trivial topological structures that arise as exact solutions to Einstein's field equations, theoretically connecting distinct regions of spacetime via a throat-like geometry. While static traversable wormholes necessarily…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Mahdi Kord Zangeneh , Francisco S. N. Lobo

Vacuum fluctuations are a fundamental and irremovable property of a quantized electromagnetic field. These fluctuations are the cause of the Casimir effect -- mutual attraction of two electrically neutral metallic plates in vacuum in the…

Optics · Physics 2023-11-23 Mikhail Krasnov , Arslan Mazitov , Nikita Orekhov , Denis G. Baranov

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

This work presents new three-dimensional traversable wormhole solutions sourced by the Casimir density and pressures related to the quantum vacuum fluctuations in Yang-Mills (Y-M) theory. We begin by analyzing the noninteracting Y-M Casimir…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Alana C. L. Santos , Célio R. Muniz , Roberto V. Maluf

This study explores the potential existence of traversable wormholes influenced by a global monopole charge within the $f(Q)$ gravity framework. To elucidate the characteristics of these wormholes, we conducted a comprehensive analysis of…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Moreshwar Tayde , P. K. Sahoo

This article explores wormhole solutions within the framework of Finsler geometry and the modified gravity theory. Modifications in gravitational theories, such as $f(\mathcal{R}, \mathcal{T})$ gravity, propose alternatives that potentially…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Yashwanth B. R. , Narasimhamurthy S. K. , Z. Nekouee