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We compute the graviton one loop contribution to a classical energy in a traversable wormhole background. Such a contribution is evaluated by means of a variational approach with Gaussian trial wave functionals. A zeta function…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Remo Garattini

A Casimir Wormhole is a Traversable Wormhole powered by a Casimir energy source within a static reference frame. A natural extension of this system is the inclusion of rotation. We will explore two basic configurations: one with radially…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Remo Garattini , Athanasios G. Tzikas

We consider novel wormhole solutions supported by a matter content that minimally violates the null energy condition. More specifically, we consider an equation of state in which the sum of the energy density and radial pressure is…

General Relativity and Quantum Cosmology · Physics 2014-11-10 Mariam Bouhmadi-Lopez , Francisco S. N. Lobo , Prado Martin-Moruno

We compute the graviton one loop contribution to a classical energy in a \textit{traversable} wormhole background. The form of the shape function considered is obtained by the equation of state $p=\omega\rho$. We investigate the size of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Remo Garattini

In this paper, we investigate the role of gravito-inertial effects on the Casimir energy of a massless scalar field confined between two parallel plates orbiting a static and zero tidal Schwarzschild-like wormhole, at zero temperature.…

General Relativity and Quantum Cosmology · Physics 2021-03-02 A. C. L. Santos , C. R. Muniz , L. T. Oliveira

In this paper, we investigate new exact and analytic solutions of the Einstein Maxwell field equations describing Casimir wormholes with and without the effect of the Generalized Uncertainty Principle (GUP). We consider a specific type of…

General Relativity and Quantum Cosmology · Physics 2022-06-03 Daris Samart , Takol Tangphati , Phongpichit Channuie

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…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Zinnat Hassan , Sayantan Ghosh , P. K. Sahoo , Kazuharu Bamba

We consider the Casimir effect for quantized massive scalar field with non-conformal coupling $\xi$ in a spacetime of wormhole whose throat is rounded by a spherical shell. In the framework of zeta-regularization approach we calculate a…

High Energy Physics - Theory · Physics 2007-05-23 Artem R. Khabibullin , Nail R. Khusnutdinov , Sergey V. Sushkov

Renormalized vacuum expectation values of electromagnetic stress-energy tensor are calculated in the background spherically-symmetrical metric of the wormhole's topology. Covariant geodesic point separation method of regularization is used.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 V. Khatsymovsky

Quantum Field Theory is plagued by divergences in the attempt to calculate physical quantities. Standard techniques of regularization and renormalization are used to keep under control such a problem. In this paper we would like to use a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Remo Garattini

We investigate the conditions under which a rotating traversable wormhole can be supported by a Casimir source in the presence of an external electric field. Extending previous studies of static Casimir wormholes and neutral rotating…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Remo Garattini , Athanasios G. Tzikas

We investigate possible manifolds characterizing traversable wormholes in the presence of a scalar field minimally coupled to gravity, which has both kinetic and potential energy. The feature of traversability requires the violation of the…

General Relativity and Quantum Cosmology · Physics 2025-10-31 R. Garattini , A. G. Tzikas

This work presents a new wormhole solution in General Relativity supported by the quantum vacuum fluctuations of the Casimir effect between perfect chromometallic mirrors in $(3+1)$ dimensions, which was recently fitted using…

General Relativity and Quantum Cosmology · Physics 2024-08-29 A. C. L. Santos , R. V. Maluf , C. R. Muniz

Gravitational lensing by traversable Lorentzian wormholes is a ew possibility which is analyzed here in the strong field limit. Wormhole solutions are considered in the Einstein minimally coupled theory and in the brane world model. The…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Kamal Kanti Nandi , Yuan-Zhong Zhang , Alexander V. Zakharov

Wormholes are exotic compact objects characterized by the absence of essential singularities and horizons, acting as slender bridges linking two distinct regions of spacetime. Despite their theoretical significance, they remain however…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Ciro De Simone , Vittorio De Falco , Salvatore Capozziello

Traversible wormhole space-times are found as static, spherically symmetric solutions to the Einstein equations with ingoing and outgoing pure ghost radiation, i.e. pure radiation with negative energy density. Switching off the radiation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward

Smooth-throat wormholes are treated on as possessing quantum fluctuation energy with scalar massive field as its source. Heat kernel coefficients of the Laplace operator are calculated in background of the arbitrary-profile throat wormhole…

High Energy Physics - Theory · Physics 2009-11-10 Nail R. Khusnutdinov

The wormhole solution could be found by solving the Einstein field equations with violating the null energy condition (NEC). We represent wormhole solutions in $\kappa(R,T)$ gravity in two different ways. At first, we find the shape…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Susmita Sarkar , Nayan Sarkar , Farook Rahaman , Y Aditya

We compute the Zero Point Energy (ZPE) induced by a naked singularity with the help of a reformulation of the Wheeler-DeWitt equation. A variational approach is used for the calculation with Gaussian Trial Wave Functionals. The one loop…

General Relativity and Quantum Cosmology · Physics 2014-08-21 Remo Garattini , Barun Majumder

Wormhole configurations in Einstein's general theory of relativity (GR) require exotic matter sources violating the weak energy condition (WEC). Rastall's theory is a generalization of GR in its matter source considering a nonconserved…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Yaghoub Heydarzade , Maryam Ranjbar
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