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We discuss two spherically symmetric solutions admitted by the Horndeski (or scalar tensor) theory in the context of solar system and astrophysical scenarios. One of these solutions is derived for Einstein-Gauss-Bonnet gravity, while the…

广义相对论与量子宇宙学 · 物理学 2017-02-28 Sourav Bhattacharya , Sumanta Chakraborty

In this work, exact solutions of static and spherically symmetric space-times are analyzed in f(R) modified theories of gravity coupled to nonlinear electrodynamics. Firstly, we restrict the metric fields to one degree of freedom,…

广义相对论与量子宇宙学 · 物理学 2012-06-22 Lukas Hollenstein , Francisco S. N. Lobo

We reduce the equations governing the spherically symmetric perturbations of static spherically symmetric solutions of the Einstein-Vlasov system (with either massive or massless particles) to a single stratified wave equation…

广义相对论与量子宇宙学 · 物理学 2017-10-11 Carsten Gundlach

In this work, we investigate radially symmetric solutions in arbitrary dimensions in scalar field models in the presence of the cuscuton term. We introduce a first-order formalism compatible with the equation of motion which supports field…

高能物理 - 理论 · 物理学 2025-03-12 D. Bazeia , M. A. Marques , R. Menezes , M. Paganelly

Nonlocal terms in the Einstein Hilbert(EH) action appears as IR corrections in effective theory of quantum gravity. Here we have considered such an action keeping the terms which are quadratic in Ricci Scalar. We obtain the solution for a…

广义相对论与量子宇宙学 · 物理学 2018-10-10 Utkarsh Kumar , Sukanta Panda

Exact self-consistent particle-like solutions with spherical and/or cylindrical symmetry to the equations governing the interacting system of scalar, electromagnetic and gravitational fields have been obtained. As a particular case it is…

广义相对论与量子宇宙学 · 物理学 2010-05-27 Yu. P. Rybakov , B. Saha , G. N. Shikin

We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Peter Breitenlohner , Peter Forgacs , Dieter Maison

The paper is concerned with the Einstein equations for a spherically symmetric static distribution of anisotropic matter. The equations are cast into a system of Fuchsian type ODE for certain scalar invariants of the strain. And then the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Jiseong Park

We present the static spherically symmetric vacuum solutions of the Jordan, Brans-Dicke field equations. The new solutions are obtained by considering a polar Gaussian, isothermal and radial hyperbolic metrics.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sergey Kozyrev

The properties of some locally rotationally symmetric (LRS) perfect fluid space-times are examined in order to demonstrate the usage of the description of geometries in terms of the Riemann tensor and a finite number of its covariant…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Mattias Marklund

All the classes of static massless scalar field models available currently in the Einstein theory of gravity necessarily contain a strong curvature naked singularity. We obtain here a family of solutions for static massless scalar fields…

广义相对论与量子宇宙学 · 物理学 2011-06-28 Swastik Bhattacharya , Pankaj S. Joshi

There has been increasing interest in studying the Richardson model from which one can derive the exact solution for certain pairing Hamiltonians. However, it is still a numerical challenge to solve the nonlinear equations involved. In this…

核理论 · 物理学 2016-03-25 Chong Qi , Tao Chen

We consider ``cosmologically symmetric'' (i.e. solutions with homogeneity and isotropy along three spatial dimensions) five-dimensional spacetimes with a scalar field and a three-brane representing our universe. We write Einstein's…

高能物理 - 理论 · 物理学 2009-11-07 David Langlois , Maria Rodriguez-Martinez

We analyze a class of topological static spherically symmetric vacuum solutions in $f(Q)$-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is…

广义相对论与量子宇宙学 · 物理学 2023-09-14 Marco Calzá , Lorenzo Sebastiani

A class of stationary rigidly rotating perfect fluid coupled with non-linear electromagnetic fields was investigated. An exact solution of the Einstein equations with sources for the Carter B(+) branch was found, for the equation of state…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Humberto Salazar , Ruben Cordero

Within the scope of a spherically symmetric space-time we study the role of different types of matter in the formation of different configurations with spherical symmetries. Here we have considered matter with barotropic equation of state,…

广义相对论与量子宇宙学 · 物理学 2021-11-22 Bijan Saha

The general stationary cylindrically symmetric solution of Einstein-massless scalar field system with a non-positive cosmological constant is presented. It is shown that the general solution is characterized by four integration constants.…

广义相对论与量子宇宙学 · 物理学 2015-09-02 Cristian Erices , Cristian Martinez

We consider the Schr\"odinger--Poisson system on the complete, simply-connected Riemannian manifolds of constant sectional curvature. We obtain closed-form stationary spherically-symmetric solutions for the homogeneous equations for certain…

数学物理 · 物理学 2025-11-26 Richard Chapling

The Schwarzschild-deSitter metric is the known solution of Einstein field equations with cosmological constant term for vacuum spherically symmetric space around a point mass M. Recently it has been reported that in a $Lamda$-dominant world…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Amir H. Abbassi

The exact static spherically symmetric solutions for pure-aether theory and Einstein-aether theory are presented. It is shown that both theories can deliver the Schwarzschild metric, but only the Einstein-aether theory contains solutions…

广义相对论与量子宇宙学 · 物理学 2010-03-30 Boris Hikin
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