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We calculate the Casimir energy-momentum tensor induced in a scalar field by a macroscopic ultrastatic spherically-symmetric long-throated traversable wormhole, and examine whether this exotic matter is sufficient to stabilise the wormhole…

General Relativity and Quantum Cosmology · Physics 2014-07-09 Luke M. Butcher

An $n$-dimensional Riemannian space is said to be of embedding class $m$ if $n+m$ is the lowest dimension of the flat space in which the given space can be embedded. A spherically symmetric spacetime of class two can be reduced to class one…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Peter K. F. Kuhfittig

This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole…

General Relativity and Quantum Cosmology · Physics 2024-04-30 M. Zeeshan Gul , M. Sharif

It has recently been shown that traversable wormholes may be supported by phantom energy. In this work phantom wormhole geometries are modelled by matching an interior traversable wormhole solution, governed by the equation of state…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francisco S. N. Lobo

We present an extension of quantum field theory to the case when the spacetime topology fluctuates (spacetime foam). In this extension the number of bosonic fields becomes a variable and the ground state is characterized by a finite…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Kirillov

Spacetime foam, also known as quantum foam, has its origin in quantum fluctuations of spacetime. Arguably it is the source of the holographic principle, which severely limits how densely information can be packed in space. Its physics is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Y. Jack Ng , H. van Dam

Anisotropic spherically symmetric systems are studied in the connection and densitized triad variables used in loop quantum gravity. The material source is an anisotropic fluid, which is arguably the most commonly used source term in…

General Relativity and Quantum Cosmology · Physics 2011-11-22 Andrew DeBenedictis

Spacetime manifolds that are not time orientable play a key role in a gravitational explanation of quantum theory. Such manifolds allow topology change, but also have fascinating additional properties such as net charge from source-free…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark J Hadley

The causality properties of space-time models with traversable wormholes are considered. It is shown that relativity principle cannot be applied to the motion of the wormhole's mouths in the outer space and the dynamical wormhole…

General Relativity and Quantum Cosmology · Physics 2011-04-20 M. Yu. Konstantinov

We argue that a microscopic structure for space-time such as that expected in a quantum foam scenario, in which microscopic wormholes and other topological structures should play a relevant role, might lead to an effective metric-affine…

High Energy Physics - Theory · Physics 2015-06-15 Francisco S. N. Lobo , Gonzalo J. Olmo , D. Rubiera-Garcia

A detailed investigation is presented of the energy-momentum tensor approach to the evaluation of the force acting on a rigid Casimir cavity in a weak gravitational field. Such a force turns out to have opposite direction with respect to…

High Energy Physics - Theory · Physics 2007-05-23 Giuseppe Bimonte , Enrico Calloni , Luciano Di Fiore , Giampiero Esposito , Leopoldo Milano , Luigi Rosa

A lattice quantum gravity model in 4 dimensional Riemannian spacetime is constructed based on the SU(2) Ashtekar formulation of general relativity. This model can be understood as one of the family of models sometimes called ``spin foam…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Junichi Iwasaki

In this work we analyze traversable wormhole spacetimes in the framework of a covariant generalization of Einstein's General Relativity known as energy-momentum squared gravity, or $f\left(R,\mathcal T\right)$ gravity, where $R$ is the…

General Relativity and Quantum Cosmology · Physics 2023-11-16 João Luís Rosa , Nailya Ganiyeva , Francisco S. N. Lobo

The conventional phase space of classical physics treats space and time differently, and this difference carries over to field theories and quantum mechanics (QM). In this paper, the phase space is enhanced through two main extensions.…

Quantum Physics · Physics 2024-05-15 N. L. Diaz , J. M. Matera , R. Rossignoli

More than 65 years ago, John Wheeler suggested that quantum uncertainties of the metric would be of order one at the Planck scale, leading to large fluctuations in spacetime geometry and topology, which he termed "spacetime foam." In this…

General Relativity and Quantum Cosmology · Physics 2023-05-17 S. Carlip

We assume the space-time foam picture in which the vacuum is filled with a gas of virtual wormholes. It is shown that virtual wormholes form a finite (of the Planckian order) value of the energy density of zero-point fluctuations. However…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-25 A. A. Kirillov , E. P. Savelova

Quantum field planes furnish a noncommutative differential algebra $\Omega$ which substitutes for the commutative algebra of functions and forms on a contractible manifold. The data required in their construction come from a quantum field…

High Energy Physics - Theory · Physics 2007-05-23 G. Mack , V. Schomerus

In this study, both the evolution of wormholes (by examining both the energy conditions and using the TOV equations) and the effects of the Karmarkar condition on the solutions obtained under certain specific cases were examined in the…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Murat Metehan Turkoglu

Suppose the usual description of spacetime as a 4-dimensional manifold with a Lorentzian metric breaks down at Planck energies. Can we still construct sensible theoretical models of the universe? Are they testable? Do they lead to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fotini Markopoulou

Braneworld models were firstly proposed as a great alternative for the hierarcy problem of particle physics, by allowing gravitons, differently from the other interacting bosons, to propagate through an extradimensional space named bulk. As…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Ayan Banerjee , P. H. R. S. Moraes , R. A. C. Correa , G. Ribeiro