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In 1921 Bach and Weyl derived the method of superposition to construct new axially symmetric vacuum solutions of General Relativity. In this paper we extend the Bach-Weyl approach to non-vacuum configurations with massless scalar fields.…

General Relativity and Quantum Cosmology · Physics 2016-08-17 A. I. Egorov , P. E. Kashargin , Sergey V. Sushkov

From physics standpoint exotic matter problem is a major difficulty in thin-shell wormholes (TSWs) with spherical / cylindrical throat topologies. We aim to circumvent this handicap by considering angular dependent throats in…

General Physics · Physics 2015-06-26 S. Habib Mazharimousavi , M. Halilsoy

Astrophysical observations provide compelling evidence for the existence of dark matter, a non-luminous component dominating the universe's mass-energy budget. Its gravitational influence is well-established on galactic scales; however,…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jan Kuncewicz

The recent developments related to the black hole information paradox have brought us a confusing object: the replica wormhole. We are trying to better understand the object from the viewpoint of the thermo-mixed double and spontaneous…

High Energy Physics - Theory · Physics 2023-05-03 Yang An , Peng Cheng

The special Buchdahl-inspired metric obtained in a recent paper [Phys. Rev. D 107, 104008 (2023)] describes asymptotically flat spacetimes in pure $\mathcal{R}^{2}$ gravity. The metric depends on a new (Buchdahl) parameter $\tilde{k}$ of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Hoang Ky Nguyen , Mustapha Azreg-Aïnou

We study a 5d gravity theory with a warped metric and show that two N = 2 supersymmetric quantum-mechanical systems are hidden in the 4d spectrum. The supersymmetry can be regarded as a remnant of higher-dimensional general coordinate…

High Energy Physics - Theory · Physics 2008-11-26 C. S. Lim , Tomoaki Nagasawa , Satoshi Ohya , Kazuki Sakamoto , Makoto Sakamoto

Crude comparison between four alternative proposals for the very definition of a wormhole is provided, all of which were intended to apply to the dynamical cases. An interesting dynamical solution, based upon large scale magnetic fields, is…

General Relativity and Quantum Cosmology · Physics 2018-07-25 E. Bittencourt , R. Klippert , G. B. Santos

A traversable wormhole generally violates the averaged null energy condition, usually requiring exotic matter. Recently, it has been found that the traversable wormhole can be realized by non-exotic matter in Einstein-Dirac-Maxwell theories…

High Energy Physics - Theory · Physics 2025-03-06 Hua-Chao Liu , Rong-Xin Miao

Traversable wormholes have traditionally been viewed as intrinsically topological entities in some multiply connected spacetime. Here, we show that topology is too limited a tool to accurately characterize a generic traversable wormhole: in…

General Relativity and Quantum Cosmology · Physics 2011-09-30 David Hochberg , Matt Visser

We investigate spherically symmetric and static traversable wormholes supported by exotic matter, focusing on solutions sourced by physically motivated dark matter energy density profiles. Considering the Thomas-Fermi-type distribution, we…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Remo Garattini , Francisco S. N. Lobo , Kirill Zatrimaylov

In the present paper we argue that a special case of the Bach-Weyl metric describing a static configuration of two Schwarzschild black holes gives rise, after extending its parameter space to complex values, to a very simple 2-parameter…

General Relativity and Quantum Cosmology · Physics 2024-07-19 I. M. Mejía , V. S. Manko , E. Ruiz

In this work, we have studied accretion of the dark energies onto Morris-Thorne wormhole. For quintessence like dark energy, the mass of the wormhole decreases and phantom like dark energy, the mass of wormhole increases. We have assumed…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Ujjal Debnath

We demonstrate, for the first time, that arbitrary spherically symmetric metrics can be derived within a framework based on the coupling of two scalar fields and an electromagnetic field. We then specialize to a class of non-stationary…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Yi-bo Liang , Hong-Rong Li

We put forward an idea that physical phenomena have to be treated in 5-dimensional space where the fifth coordinate is the interval S. Thus, we considered the (1+4) extended space G(T;X,Y,Z,S). In addition to Lorentz transformations (T;X),…

General Physics · Physics 2007-05-23 D. Yu. Tsipenyuk , V. A. Andreev

Introducing a variable cosmological function $\Lambda (t)$ in a geometrical manner from a 5D Riemann-flat metric, we investigate the possibility of having a geometrical criterion to choose a suitable cosmological function $\Lambda (t)$ for…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jose Edgar Madriz Aguilar , Mauricio Bellini , Marco Aurelio S. Cruz

Quantum-mechanical model of self-gravitating dust shell is considered. To clarify the relation between classical and quantum spacetime which the shell collapse form, we consider various time slicing on which quantum mechanics is developed.…

General Relativity and Quantum Cosmology · Physics 2011-09-09 K. Nakamura , Y. Oshiro , A. Tomimatsu

In the present manuscript, we study traversable wormhole solutions in the background of extended symmetric teleparallel gravity with matter coupling. With the anisotropic matter distribution we probe the wormhole geometry for two different…

General Relativity and Quantum Cosmology · Physics 2023-08-16 V. Venkatesha , Chaitra Chooda Chalavadi , N. S. Kavya , P. K. Sahoo

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

The monopole solution of the Einstein vacuum field equations (Schwarzschild`s solution) in Weyl coordinates involves a metric function that can be interpreted as the gravitational potential of a bar of length $2m$ with constant linear…

General Relativity and Quantum Cosmology · Physics 2013-09-11 J. L. Hernandez-Pastora

In this work, we investigate wormhole geometries with multiple throats and anti-throats in general relativity. The existence of these structures is identified through the analysis of minima and maxima in the area of the solution. Using…

General Relativity and Quantum Cosmology · Physics 2025-04-09 T. M. Crispim , Marcos V. de S. Silva , G. Alencar , Celio R. Muniz , Diego Sáez-Chillón Gómez