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This thesis investigates traversable wormhole spacetimes in modified theories of gravity, where the matter at the wormhole throat is described by an anisotropic energy-momentum tensor. Wormhole solutions are constructed in the context of…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Zinnat Hassan

The braneworld model, in which our Universe is a three-brane embedded in a five-dimensional bulk, allows the existence of wormholes, without any violation of the energy conditions. A fundamental ingredient of traversable wormholes is the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 K. C. Wong , T. Harko , K. S. Cheng

The paper deals with the static spherically symmetric wormhole solutions in $f(R)$-modified gravity theory with anisotropic matter field and for some particular choices for the shape functions. The present work may be considered as an…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Bikram Ghosh , Saugata Mitra , Subenoy Chakraborty

We present a minisuperspace analysis of a class of Lorentzian wormholes that evolves quantum mechanically in a background Friedman Robertson Walker spacetime. The quantum mechanical wavefunction for these wormholes is obtained by solving…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg

In the context of modified $f(R)$ gravity, we attempt to study the thermodynamic properties of the evolving Lorentzian wormholes at the apparent horizon. It is shown that the wormhole can be derived from a particular $f(R)$ model in the…

General Relativity and Quantum Cosmology · Physics 2015-01-07 H. Saiedi

We show that if the space of physical states spanned by the wormhole wave functions can be equipped with a Hilbert structure, such a Hilbert space must coincide with that of the Lorentzian gravitational system under consideration. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Guillermo A. Mena Marugan

Recently, it has been shown by Lobo, Parsaei and Riazi (LPR) that phantom energy with $\omega =p_{r}/\rho <-1$ could support phantom wormholes. Several classes of such solutions have been derived by them. While the inner spacetime is…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Regina Lukmanova , Alina Khaibullina , Ramil Izmailov , Almir Yanbekov , Ramis Karimov , Alexander A Potapov

We extend the notion of phantom energy--which is generally accepted for homogeneously distributed matter with $w<-1$ in the universe--on inhomogeneous spherically symmetric spacetime configurations. A spherically symmetric distribution of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. V. Sushkov

In the present work we study the scale--dependence of polytropic non-charged black holes in (3+1)-dimensional space--times assuming a cosmological constant. We allow for scale--dependence of the gravitational and cosmological couplings, and…

General Relativity and Quantum Cosmology · Physics 2019-04-01 Ernesto Contreras , Angel Rincon , Benjamin Koch , Pedro Bargueño

We study wormhole geometries embedded in an expanding universe within a four-scalar non-linear $\sigma$ model, where the target-space metric is identified with the spacetime Ricci tensor. In this framework, wormholes can remain stable even…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Taishi Katsuragawa , Shin'ichi Nojiri , Sergei D. Odintsov

A non-singular Emergent Universe (EU) scenario within the realm of standard Relativistic physics requires a generalization of the Equation of State (EoS) connecting the pressure and energy density. This generalized EoS is capable of…

General Relativity and Quantum Cosmology · Physics 2023-04-10 Rikpratik Sengupta , Shounak Ghosh , B C Paul , Mehedi Kalam

We classify wormholes endowed with redshift effects and finite mass into three types. Type I wormholes have their radial pressure dying out faster, as one moves away from the throat, than any other component of the stress-energy and thus…

General Relativity and Quantum Cosmology · Physics 2015-07-27 Mustapha Azreg-Aïnou

We carry out to completion the quantization of a Friedmann-Robertson-Walker model provided with a conformal scalar field, and of a Kantowski-Sachs spacetime minimally coupled to a massless scalar field. We prove that the Hilbert space…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Guillermo A Mena Marugan

We demonstrate two periodic or quasi-periodic generalizations of the Chaplygin gas (CG) type models to explain the origins of dark energy as well as dark matter by using the Weierstrass $\wp(t)$, $\sigma(t)$ and $\zeta(t)$ functions with…

General Relativity and Quantum Cosmology · Physics 2012-11-22 Kazuharu Bamba , Ujjal Debnath , Kuralay Yesmakhanova , Petr Tsyba , Gulgasyl Nugmanova , Ratbay Myrzakulov

We explore the possibility of formation of a traversable wormhole in General Relativity supported by particle creation mechanism. The repulsive back-reaction pressure generated through this mechanism can be thought of as a source of…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Mrinnoy M. Gohain , Kalyan Bhuyan , Chayanika Chetia

We construct static, spherically symmetric wormhole solutions with a nontrivial redshift function, inspired by noncommutative geometry, in which point sources are replaced by Gaussian smearing of minimal length, yielding a regular shape…

General Relativity and Quantum Cosmology · Physics 2026-03-30 D. Batic , D. Dutykh , M. Essa Sukaiti

In this paper, we explore higher-dimensional asymptotically flat wormhole geometries in the framework of Gauss-Bonnet (GB) gravity and investigate the effects of the GB term, by considering a specific radial-dependent redshift function and…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Mohammad Reza Mehdizadeh , Mahdi Kord Zangeneh , Francisco S. N. Lobo

In this work, we find exact wormhole solutions in the context of noncommutative geometry, and further explore their physical properties and characteristics. The energy density of these wormhole geometries is a smeared and particle-like…

General Relativity and Quantum Cosmology · Physics 2008-12-23 Remo Garattini , Francisco S. N. Lobo

We study Lorentzian wormholes in the ghost-free bigravity theory described by two metrics, g and f. Wormholes can exist if only the null energy condition is violated, which happens naturally in the bigravity theory since the graviton…

High Energy Physics - Theory · Physics 2015-06-17 Sergey V. Sushkov , Mikhail S. Volkov

We consider $f(R, T)$ theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor, to study static spherically symmetric wormhole geometries…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Ayan Banerjee , M. K. Jasim , Sushant G. Ghosh