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We obtain an approximate global stationary and axisymmetric solution of Einstein's equations which can be thought as a simple two layers star model: a self-gravitating ball built up by two layers of perfect fluid having different linear…

General Relativity and Quantum Cosmology · Physics 2018-06-12 Alfred Molina , Eduardo Ruiz

This paper analyzes the stability of the closed Einstein static universe by using linear homogeneous perturbations in the framework of energy-momentum squared gravity. This newly developed proposal resolves the primordial singularity and…

General Relativity and Quantum Cosmology · Physics 2021-08-25 M. Sharif , M. Zeeshan Gul

Static spherically symmetric (SSS) solutions of f(R) gravity are studied in the Einstein frame. The solutions involve SSS configuration mass M and scalaron mass $\mu$ (in geometrized units); for typical astrophysical masses, the…

General Relativity and Quantum Cosmology · Physics 2025-07-28 V. I. Zhdanov

It has been shown that the 4-dimensional Einstein-Maxwell-dilaton theory allows a Bogomol'nyi-type inequality for an arbitrary dilaton coupling constant $\alpha $, and that the bound is saturated if and only if the (asymptotically flat)…

High Energy Physics - Theory · Physics 2011-08-17 Masato Nozawa

We investigate the existence of non axisymmetric solutions in the 6-dimensional baby-Skyrme brane model. The brane is described by a localized solution to the baby-Skyrme model extending in the extra dimensions. Such non symmetric branes…

High Energy Physics - Theory · Physics 2015-06-11 Térence Delsate , Masahiro Hayasaka , Nobuyuki Sawado

In this work we obtain classical solutions of the bosonic sector of the supermembrane theory with two-form fluxes associated to a quantized constant $C_{\pm}$ background. This theory satisfies a flux condition on the worldvolume that…

High Energy Physics - Theory · Physics 2022-02-11 Pedro D. Alvarez , Pedro García , Maria Pilar Garcia del Moral , Joselen M. Peña , Reginaldo Prado

The self-similarity hypothesis claims that in classical general relativity, spherically symmetric solutions may naturally evolve to a self-similar form in certain circumstances. In this context, the validity of the corresponding hypothesis…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Tomohiro Harada , Ken-ichi Nakao , Brien C. Nolan

We derive a stationary and axisymmetric black hole solution in Einstein-Dilaton-Gauss-Bonnet gravity to quadratic order in the ratio of the spin angular momentum to the black hole mass squared. This solution introduces new corrections to…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Dimitry Ayzenberg , Nicolas Yunes

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal bundle over space-time whose structure…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Todd A. Oliynyk , H. P. Kunzle

Two classes of stationary axisymmetric solutions of Einstein's equations for isolated differentially rotating matter sources are presented. The asymptotic regime is extracted, with attention to quasilocal gravitational energy, shear and…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Marco Galoppo , David L. Wiltshire

We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is…

High Energy Physics - Theory · Physics 2020-07-01 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We consider multisolitons with charges 1 =< B =< 5 in the baby Skyrme model for the one-parametric family of potentials U=\mu^2 (1-\phi_3)^s with 0<s =< 4. This class of potentials is a generalization of the `old' (s=1) and `holomorphic'…

High Energy Physics - Theory · Physics 2009-05-20 Itay Hen , Marek Karliner

In this article we study self-gravitating static solutions of the Einstein-ScalarField system in arbitrary dimensions. We discuss the existence and the non-existence of geodesically complete solutions depending on the form of the scalar…

General Relativity and Quantum Cosmology · Physics 2016-02-02 Martin Reiris

A five-dimensional solution to Einstein's equations coupled to a scalar field has been proposed as a partial solution to the cosmological constant problem: the effect of arbitrary vacuum energy (tension) of a 3-brane is cancelled; however,…

High Energy Physics - Theory · Physics 2014-11-18 P. Binetruy , J. M. Cline , C. Grojean

In this paper, we analyze the scalar field (quasi-)normal modes of recently derived rotating black holes within the framework of Einstein-Gauss-Bonnet theory at the Chern-Simons point in five dimensions. We also examine the mode spectrum of…

It is shown, for the self-consistent system of scalar, electro-magnetic and gravitational fields in general relativity, that the equations of motion admit a special kind of solutions with spherical or cylindrical symmetry. For these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. P. Rybakov , B. Saha , G. N. Shikin

The Einstein equations for a plane-symmetric gravitational field coupled to an arbitrary nonlinear sigma model (NSM) are shown to be represented in the form of dynamical equations of a {\it generalized effective NSM}. The gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Chervon , D. Yu. Shabalkin

We consider the $\mathrm{O}(3)$ non-linear sigma-model, composed of three real scalar fields with a standard kinetic term and with a symmetry breaking potential in four spacetime dimensions. We show that this simple, geometrically motivated…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

We find vacuum solutions such that massive gravitons are confined in a local spacetime region by their gravitational energy in asymptotically flat spacetimes in the context of the bigravity theory. We call such self-gravitating objects…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Katsuki Aoki , Kei-ichi Maeda , Yosuke Misonoh , Hirotada Okawa

We study five-dimensional solutions to Einstein equations coupled to a scalar field. Bounce-type solutions for the scalar field are associated with AdS_5 spaces with smooth warp functions. Gravitons are dynamically localized in this…

High Energy Physics - Theory · Physics 2010-04-06 A. Kehagias , K. Tamvakis