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Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer

We explore dynamics of cosmological models with bounce solutions evolving on a spatially flat Friedmann-Lemaitre-Robertson-Walker background. We consider cosmological models that contain the Hilbert-Einstein curvature term, the induced…

General Relativity and Quantum Cosmology · Physics 2016-12-08 Ekaterina O. Pozdeeva , Maria A. Skugoreva , Alexey V. Toporensky , Sergey Yu. Vernov

In this work we propose a new analytical method for determining the scalar field potential $V(\phi)$ in FRW type cosmologies containing a mixture of perfect fluid plus a quintessence scalar field. By assuming that the equation of state…

General Relativity and Quantum Cosmology · Physics 2008-06-23 J. A. Espichán Carrillo , J. M. Silva , J. A. S. Lima

We obtain a new exact solution to the field equations in the EGB modified theory of gravity for a 5-dimensional spherically symmetric static distribution. By using a transformation, the study is reduced to the analysis of a single second…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Sudan Hansraj , Brian Chilambwe , Sunil D. Maharaj

We study the evolution of an anisotropic shear-free fluid with heat flux and kinematic self-similarity of the second kind. We found a class of solution to the Einstein field equations by assuming that the part of the tangential pressure…

General Relativity and Quantum Cosmology · Physics 2014-05-13 R. Chan , M. F. A. da Silva , C. F. C. Brandt

In this paper, we study the steady solutions of Euler-Poisson equations in bounded domains with prescribed angular velocity. This models a rotating Newtonian star consisting of a compressible perfect fluid with given equation of state…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tao Luo , Joel Smoller

The conditions for the existence and stability of cosmological power-law scaling solutions are established when the Einstein-Hilbert action is modified by the inclusion of a function of the Gauss-Bonnet curvature invariant. The general form…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Kotub Uddin , James E. Lidsey , Reza Tavakol

The cosmological constant $(1/2)\lambda_{1}\phi_{, \mu}\phi ^{, \mu}/\phi ^{2}$ is introduced to the generalized scalar-tensor theory of gravitation with the coupling function $\omega (\phi)=\eta /(\xi -2)$ and the Machian cosmological…

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

In this study, cosmological models with perfect fluid and a gravitational framework f(Q) will be examined. In this modified theory of gravity, the gravitational force has the form f(Q), where Q stands for the non-metricity scalar. I create…

General Relativity and Quantum Cosmology · Physics 2022-08-08 A. Y. Shaikh

We study general properties of attractors for scalar-field dark energy scenarios which possess cosmological scaling solutions. In all such models there exists a scalar-field dominant solution with an energy fraction \Omega_{\phi}=1 together…

High Energy Physics - Theory · Physics 2008-11-26 Shinji Tsujikawa

We present a consistent effective theory that violates the null energy condition (NEC) without developing any instabilities or other pathological features. The model is the ghost condensate with the global shift symmetry softly broken by a…

High Energy Physics - Theory · Physics 2009-11-11 Paolo Creminelli , Markus A. Luty , Alberto Nicolis , Leonardo Senatore

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

General Relativity and Quantum Cosmology · Physics 2008-06-11 J. W. Moffat

Let $D$ be the exterior of a cone inside a ball, with its altitude angle at most $\pi/6$ in $\mathbb{R}^3$, which touches the $x_3$ axis at the origin. For any initial value $v_0 = v_{0,r}e_{r} + v_{0,\theta} e_{\theta} + v_{0,3} e_{3}$ in…

Analysis of PDEs · Mathematics 2023-02-15 Zijin Li , Xinghong Pan , Xin Yang , Chulan Zeng , Qi S. Zhang , Na Zhao

In this paper, we have presented a bouncing cosmological model of the Universe in an extended theory of gravity. The dynamical behaviour of the model obtained from the flat FLRW space-time along with the violation of null energy condition…

General Relativity and Quantum Cosmology · Physics 2022-04-22 A. S. Agrawal , Francisco Tello-Ortiz , B. Mishra , S. K. Tripathy

In this paper, we consider a non-minimally coupled gravity model to study the bouncing universe. The holographic principle has various effects on the bouncing universe. We choose some suitable new variables and achieve the new Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-04-28 Sudhaker Upadhyay

We show that there exist scalar field theories with plausible one-particle states in general $D$ dimensional nonstationary curved spacetimes whose propagating modes are localized on $d\le D$ dimensional hypersurfaces, and the corresponding…

High Energy Physics - Theory · Physics 2020-04-29 Farhang Loran

In order to have singularity-free solutions at the beginning of the Universe, we need to violate the null energy condition. In the general class of Horndeski gravity, there are healthy NEC-violating solutions, which however are plagued with…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Bobomurat Ahmedov , Konstantinos F. Dialektopoulos , Jackson Levi Said , Abdurakhmon Nosirov , Zinovia Oikonomopoulou , Odil Yunusov

We consider time-dependent Gaussian wave packet solutions of the Schrodinger equation (with arbitrary initial central position, x_0, and momentum, p_0, for an otherwise free-particle, but with an infinite wall at x=0, so-called bouncing…

Quantum Physics · Physics 2009-11-10 M. Belloni , M. A. Doncheski , R. W. Robinett

Black-bounce (BB) solutions generalize the spacetimes of black holes, regular black holes, and wormholes, depending on the values of certain characteristic parameters. In this work, we investigate such solutions within the framework of…

We consider the possibility of a past and future eternal universe, constructing geodesically complete inflating, loitering, and bouncing spacetimes. We identify the constraints energy conditions in General Relativity place on the building…

High Energy Physics - Theory · Physics 2025-08-25 Damien A. Easson , Joseph E. Lesnefsky