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For the spherically symmetric static traversable wormholes, supported by the Casimir energy in $f(\mathcal{R})=\mathcal{R}+\alpha \mathcal{R}^2$ Quadratic, $f(\mathcal{R})=f_0 \mathcal{R}^n$ power-law Modified Gravity (MOG) theories we…

General Physics · Physics 2022-06-02 Oleksii Sokoliuk , Alexander Baransky , P. K. Sahoo

We investigate a static traversable wormhole sustained by a combination of a minimally coupled scalar field and an electric field, with exotic matter sourced by Casimir energy. Considering two scenarios, where the Casimir plate separation…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Remo Garattini , Athanasios G. Tzikas

This study discusses the development of some particular static wormhole models in the background of an extended $f(Q)$ gravity theory. Wormhole solutions are derived by considering the radial pressure to admit an equation of state…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Tanmoy Chowdhury , Prabir Rudra , Tandrima Chowdhury , Farook Rahaman

The evaluation of Casimir energies in curved background spacetimes is an essential ingredient to study the stability of traversable wormholes. In practice one has to calculate the contribution of the transverse-traceless component of the…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Remo Garattini , Piero Nicolini

The objective of this manuscript is to investigate the traversable wormhole solutions in the background of the $f(R, \phi)$ theory of gravity, where $R$ is the Ricci scalar and $\phi$ is the scalar potential respectively. For this reason,…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Adnan Malik , Tayyaba Naz , Abdul Qadeer , M. Farasat Shamir , Z. Yousaf

The cosmological constant induced by quantum fluctuation of the graviton on a given background is considered as a tool for building a spectrum of different geometries. In particular, we apply the method to the Schwarzschild background with…

General Relativity and Quantum Cosmology · Physics 2008-12-23 Remo Garattini

Two spherically symmetric, static Lorentzian wormholes are obtained in tetrad theory of gravitation as a solution of the equation $\rho=\rho_t=0$, where $\rho=T_{ij}u^iu^j, \rho_t=(T_{ij}-{1/2}Tg_{ij})u^iu^j$ and $u^iu_i=-1$. This equation…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Gamal Gergess Lamee Nashed

We present a new class of solutions for static spherically symmetric wormhole spacetimes in conformal gravity and outline a detailed method for their construction. As an explicit example, we construct a class of traversable and…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Manuel Hohmann , Christian Pfeifer , Martti Raidal , Hardi Veermäe

Wormholes have been always an interesting object in gravity theories. In this paper we make a little review of the principal properties of these objects and the exotic matter they need to exist. Then, we obtain two specific solutions in the…

General Relativity and Quantum Cosmology · Physics 2008-07-17 Alexis Larranaga

One-loop divergences appearing in the entropy of a quantum black hole are proven to be completely eliminated by the standard renormalization of both the gravitational constant and other coefficients by the $R^2$-terms in the effective…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri V. Fursaev , Sergey N. Solodukhin

Mazharimousavi and Halilsoy [1] recently proposed wormhole solutions in $f(R)$-gravity that satisfy energy conditions but are unstable. We show here that stability could still be achieved for thin-shell wormholes obtained by gluing the…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Alina Khaybullina , Gulira Tuleganova

This paper investigates the massive gauge field within spacetime context from a $\mathbb{Z}_2$ quotient of the constant curvature black hole. We investigate how the matter field's back reaction affects the spacetime geometry, considering…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Ankit Anand , Ruben Campos Delgado , Daris Samart

We present a practical method for calculating the local gravitational self-force (often called ``radiation-reaction force'') for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of {\it…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Leor Barack , Yasushi Mino , Hiroyuki Nakano , Amos Ori , Misao Sasaki

We discuss the black hole effective action and define its static subsector. We determine the induced gravito-static polarization constants (electric Love numbers) of static black holes (Schwarzschild) in an arbitrary dimension, namely the…

High Energy Physics - Theory · Physics 2012-11-07 Barak Kol , Michael Smolkin

We have found a simple exact solution of spherically-symmetrical Einstein equations describing a wormhole for an inhomogeneous distribution of the phantom energy. The equation of state is linear but highly anisotropic: while the radial…

General Relativity and Quantum Cosmology · Physics 2009-11-11 O. B. Zaslavskii

Spacetime wormholes are evidently an essential component of the construction of a time machine. Within the context of general relativity, such objects require, for their formation, exotic matter -- matter that violates at least one of the…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Mengqi Lu , Jiayue Yang , Robert B. Mann

We present a wormhole solution in four dimensions. It is a solution of an Einstein Maxwell theory plus charged massless fermions. The fermions give rise to a negative Casimir-like energy, which makes the wormhole possible. It is a long…

High Energy Physics - Theory · Physics 2020-11-05 Juan Maldacena , Alexey Milekhin , Fedor Popov

A simple one-parameter generalization of the Schwarzschild spacetime was recently suggested by A. Simpson and M. Visser [JCAP 1902, 042 (2019)] as a toy model describing the regular black hole and traversable wormhole states separated by…

General Relativity and Quantum Cosmology · Physics 2020-03-09 M. S. Churilova , Z. Stuchlik

We address some of the issues that appear in the study of back reaction in Schwarzschild backgrounds. Our main object is the effective energy-momentum tensor (EEMT) of gravitational perturbations. It is commonly held that only…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. R. Abramo , F. Finelli

The quartic self-interacting conformal scalar field is used to construct a thin-shell wormhole satisfying all energy conditions. Accompanying the scalar field is the extremal Reissner-Nordstr\"om black hole with a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2020-03-31 S. Danial Forghani , S. Habib Mazharimousavi , Mustafa Halilsoy