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With the back reaction of the vacuum energy-momentum tensor consistently taken into account, we study static spherically symmetric black-hole-like solutions to the semi-classical Einstein equation. The vacuum energy is assumed to be given…

High Energy Physics - Theory · Physics 2018-04-18 Pei-Ming Ho , Yoshinori Matsuo

We consider the inhomogeneous Morris-Thorne wormhole metric with matter tensors characterised by a novel linear equation of state in $f(R)$ gravity. Using the Einstein's field equations in metric $f(R)$ gravity we model solutions for both…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Subhasis Nalui , Subhra Bhattacharya

We have examined the possible construction of a stationary, spherically symmetric and spatially inhomogeneous wormhole spacetime supported by the phantom energy. The later is supposed to be represented by the modified Chaplygin gas equation…

General Relativity and Quantum Cosmology · Physics 2009-03-27 Mubasher Jamil , M. Umar Farooq , Muneer Ahmad Rashid

In the present work we investigate wormhole structures and the energy conditions supporting them, in Einstein-Cartan theory ({\sf ECT}). The matter content consists of a Weyssenhoff fluid along with an anisotropic matter which together…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie

We obtain a family of regular static, spherically symmetric solutions in Einstein--Cartan theory with an electromagnetic field and a nonminimally coupled scalar field with the correct sign of kinetic energy density. At different values of…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , A. M. Galiakhmetov

Static traversable wormhole solutions of the Einstein equations require ``exotic'' matter which violates the weak energy condition. The vacuum stress-energy of quantized fields has been proposed as the source for this matter. Using the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Brett E. Taylor , William A. Hiscock , Paul R. Anderson

A new solution has been presented for the spherically symmetric space time describing wormholes with Phantom Energy. The model suggests that the existence of wormhole is supported by arbitrarily small quantity of Phantom Energy.

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Rahaman , M. Kalam , M. Sarker , K. Gayen

Solution for a stationary spherically symmetric accretion of the relativistic perfect fluid with an equation of state p(rho) onto the Schwarzschild black hole is presented. This solution is a generalization of Michel solution and applicable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Babichev , V. Dokuchaev , Y. Eroshenko

The present study analyses the wormhole solution both in the dRGT-$ f(R,T) $ massive gravity and Einstein massive gravity. In both the models, the anisotropic pressure solution in ultrastatic wormhole geometry gives rise to the shape…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Ayanendu Dutta , Dhritimalya Roy , Nihal Jalal Pullisseri , Subenoy Chakraborty

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

Considering a energy density of the form $\rho=q\left({\frac{r}{r_0}}\right)^{-n}$( where $q$ is an arbitrary positive constant with dimension of energy density and $n>0$), a shape function is obtained by using field equations of braneworld…

General Relativity and Quantum Cosmology · Physics 2021-09-10 Bikram Ghosh , Saugata Mitra

We present solutions of the Einstein equations that extend the static Schwarzschild solution in empty space into regions of non-zero energy density $\rho$ and radial pressure $p= w \rho$, where $w$ is a constant equation of state parameter.…

General Physics · Physics 2019-09-10 André LeClair

In Einstein gravity, for an inhomogeneous phantom energy distribution having linear equation of state (but anisotropic), there exists simple exact solution for spherically symmetric space time describing a wormhole. At infinity, the space…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subenoy Chakraborty , Tanwi Bandyopadhyay

We use the Gu-Huang model for a special case when the universe is seven dimensional. In the core of extra dimension we place a modified Gidding-Strominger wormhole. This wormhole is separated by a thin wall from the extra dimensional space.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. L. Choudhury

A novel idea is proposed for a natural solution of the dark energy and its cosmic coincidence problem. The existence of local antigravity sources, associated with astrophysical matter configurations distributed throughout the universe, can…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Georgios Kofinas , Vasilios Zarikas

In this article, we have discussed Morris and Thorne (MT) wormhole solutions in a modified theory of gravity that admits conformal motion. Here we explore the wormhole solutions in $f(R,\,T)$ gravity, which is a function of the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Piyali Bhar , Pramit Rej , P. K. Sahoo

We consider ideal fluid and equivalent scalar field dark energy universes where all four known types of finite-time, future singularities occur at some parameter values. It is demonstrated that pressure/energy density of such…

High Energy Physics - Theory · Physics 2015-05-13 Shin'ichi Nojiri , Sergei D. Odintsov

The effects that the present accelerating expansion of the universe has on the size and shape of Lorentzian wormholes and ringholes are considered. It is shown that, quite similarly to how it occurs for inflating wormholes, relative to the…

Astrophysics · Physics 2009-11-10 Pedro F. Gonzalez-Diaz

Solution for a stationary spherically symmetric accretion of the relativistic perfect fluid with an equation of state $p(\rho)$ onto the Schwarzschild black hole is presented. This solution is a generalization of Michel solution and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 E. Babichev , V. Dokuchaev , Yu. Eroshenko

The problem of dark energy can be roughly stated as the proposition and validation of a cosmological model that can explain the phenomenon of the accelerated expansion of the Universe. This problem is an open discussion topic in modern…

General Relativity and Quantum Cosmology · Physics 2014-12-19 Genly Leon