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We study wormhole as the solution of the Wheeler-deWitt (WdW ) equation satisfying Hawking-Page wormhole boundary conditions in Friedmann-Robertson-Walker (FRW) cosmology. The quantum wormholes are formulated with arbitrary factor ordering…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Farook Rahaman , Bikramarka S. Choudhury , Anikul Islam

Two new exact analytical solutions of the euclidean Einstein equations for a minimal massless scalar field and negative cosmological constant have been obtained. These solutions are given in terms of Jacobian elliptic or circular functions,…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

Wormholes are considered both from the Wheeler deWitt equation, as well as from the field equations in the Euclidean background of Roberson Walker mini-superspace in $R^2$ gravity. Quantum wormhole satisfies Hawking Page wormhole boundary…

General Relativity and Quantum Cosmology · Physics 2022-03-11 B Modak , Gargi Biswas

Semiclassical approximation to the Wheeler-DeWitt equation which corresponds to gravity with a minimally coupled scalar field has been performed. To the leading order, vacuum Einstein's equation along with the functional Schrodinger…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Abhik Kumar Sanyal

We study the classical Euclidean wormhole solutions for the gravitational systems with minimally coupled pure Phantom field and minimally coupled Phantom field accompanied by perfect fluid. It is shown that such solutions do exist and then…

General Relativity and Quantum Cosmology · Physics 2015-05-20 F. Darabi

We here calculate the one-loop approximation to the Euclidean Quantum Gravity coupled to a scalar field around the classical Carlini and Miji\'c wormhole solutions. The main result is that the Euclidean partition functional $Z_{EQG}$ in the…

High Energy Physics - Theory · Physics 2010-04-06 Alberto Carlini , Maurizio Martellini

A lower bound on the size of a Lorentzian wormhole can be obtained by semiclassically introducing the Planck cut-off on the magnitude of tidal forces (Horowitz-Ross constraint). Also, an upper bound is provided by the quantum field…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kamal Kanti Nandi , Yuan-Zhong Zhang , K. B. Vijaya Kumar

We study Euclidean wormholes in the framework of the Horava-Lifshitz theory of gravity. Euclidean wormholes first appeared in the Euclidean path integral approach to quantum gravity. In a more general way, Hawking and Page interpreted such…

High Energy Physics - Theory · Physics 2020-04-29 H. Garcia-Compean , Alberto Vazquez

We study the possible existence of static traversable wormholes without invoking exotic matter in the framework of the Einstein--Cartan theory. A family of exact static, spherically symmetric wormhole solutions with an arbitrary throat…

General Relativity and Quantum Cosmology · Physics 2016-03-30 K. A. Bronnikov , A. M. Galiakhmetov

Wormholes -- solutions to the euclidean Einstein equations with non-trivial topology -- are usually assumed to make real contributions to amplitudes in quantum gravity. However, we find a negative mode among fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 V. A. Rubakov , O. Yu. Shvedov

A multidimensional cosmological model with space-time consisting of $n (n \ge 2)$ Einstein spaces $M_{i}$ is investigated in the presence of a cosmological constant $\Lambda$ and a homogeneous minimally coupled scalar field $\varphi(t)$ as…

General Relativity and Quantum Cosmology · Physics 2009-10-22 U. Bleyer , V. D. Ivashchuk , V. N. Melnikov , A. Zhuk

We investigate Euclidean wormholes in Einstein gravity with a massless scalar field in de Sitter space. Euclidean wormholes are possible due to the analytic continuation of the time as well as complexification of fields, where we need to…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Pisin Chen , Yao-Chieh Hu , Dong-han Yeom

We classified and studied the charged black hole and wormhole solutions in the Einstein--Maxwell system in the presence of a massless, real scalar field. The possible existence of charged black holes in general scalar--tensor theories was…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Júlio C. Fabris , Tales A. O. Gomes , Denis C. Rodrigues

Noether symmetry has been invoked to explore the forms of a couple of coupling parameters and the potential appearing in a general scalar-tensor theory of gravity in the background of Robertson-Walker space-time. Exact solutions of…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-10 Abhik Kumar Sanyal , Ranajit Mandal

It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Kirill A. Bronnikov , José P. S. Lemos

This paper is devoted to an investigation of Euclidean wormholes made by fuzzy instantons. We investigate the Euclidean path integral in anti-de Sitter space. In Einstein gravity, we introduce a scalar field with a potential. Because of the…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Subeom Kang , Dong-han Yeom

We construct wormholes in Einstein-scalar-Gauss-Bonnet theories with a potential for the scalar field that includes a mass term and self-interaction terms. By varying the Gauss-Bonnet coupling constant we delimit the domain of existence of…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Sardor Murodov

We study the problem of existence of static spherically symmetric wormholes supported by the kink-like configuration of a scalar field. With this aim we consider a self-consistent, real, nonlinear, nonminimally coupled scalar field $\phi$…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. V. Sushkov , S. -W. Kim

We present the first analysis of traversable wormhole solutions within the framework of Einstein-aether theory. We show that the corresponding field equations admit three distinct wormhole geometries, obtained by adopting three different…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Hanif Golchin , Hamid R. Bakhtiarizadeh , Mohammad Reza Mehdizadeh

The newly discovered Wormhole C--metric is a solution of Einstein's field equation coupled with a phantom scalar field which describes the accelerated wormholes. In the zero acceleration limit the solution reduces to an asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Soham Chatterjee , Sagnik Roy , Ratna Koley
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