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Multidimensional configurations with Minkowski external space-time and a spherical global monopole in extra dimensions are discussed in the context of the brane world concept. The monopole is formed with a hedgehog-like set of scalar fields…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. A. Bronnikov , B. E. Meierovich

We discuss self-gravitating global O(3) monopole solutions associated with the spontaneous breaking of O(3) down to a global O(2) in an extended Gauss Bonnet theory of gravity in (3+1)-dimensions, in the presence of a non-trivial scalar…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Nikos Chatzifotis , Nick E. Mavromatos , Dionysios P. Theodosopoulos

In this work a new asymptotically flat solution of the coupled Einstein-Born-Infeld equations for a static spherically symmetric space-time is obtained. When the intrinsic mass is zero the resulting spacetime is regular everywhere, in the…

General Relativity and Quantum Cosmology · Physics 2010-01-15 D. J. Cirilo-Lombardo

Within the framework of Bonnor's exact solution describing a massive magnetic dipole, we study the motion of neutral and electrically charged test particles. In dependence on the Bonnor spacetime parameters, we determine regions enabling…

General Relativity and Quantum Cosmology · Physics 2013-01-10 Jiří Kovář , Ondřej Kopáček , Vladimí Karas , Yasufumi Kojima

We study static magnetic monopoles in the context of varying alpha theories and show that there is a group of models for which the t'Hooft-Polyakov solution is still valid. Nevertheless, in general static magnetic monopole solutions in…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. Menezes , P. P. Avelino , C. Santos

We consider a spherically symmetric global monopole in general relativity in $(D=d+2)$-dimensional spacetime. The monopole is shown to be asymptotically flat up to a solid angle defect in case $\gamma < d-1$, where $\gamma$ is a parameter…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kirill A. Bronnikov , Boris E. Meierovich

In the context of a special class of tensor-multi-scalar theories of gravity for which the target-space metric admits an isometry under which the theory is invariant, we present rotating vacuum solutions, namely with no matter fields. These…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

We present an exact solution to the non-linear equation which describes a global monopole in the flat space. We re-examine the metric and the geodesics outside the global monopole. We will see that a global monopole produces a repulsive…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Xin Shi , Xin-zhou Li

An intriguing open problem in general relativity is whether a stationary equilibrium configuration of multiple, physically relevant black holes can exist. In such a hypothetical setup, the gravitational attraction would need to be balanced…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Jörg Hennig

Spontaneous global symmetry breaking of O(3) scalar field gives rise to point-like topological defects, global monopoles. By taking into account self-gravity,the qualitative feature of the global monopole solutions depends on the vacuum…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Hiroshi Watabe , Takashi Torii

A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The…

High Energy Physics - Theory · Physics 2011-01-25 Hironobu Kihara , Yutaka Hosotani , Muneto Nitta

In this paper we prove the global existence of classical static solutions of Einstein gravitational theory coupled to a real scalar field where the spacetime admits spherically symmetry. The equations of motions can then be reduced into a…

Mathematical Physics · Physics 2023-01-16 Mirda Prisma Wijayanto , Emir Syahreza Fadhilla , Fiki Taufik Akbar , Bobby Eka Gunara

Stimulated by a scholium in Newton's Principia we find some beautiful results in classical mechanics which can be interpreted in terms of the orbits in the field of a mass endowed with a gravomagnetic monopole. All the orbits lie on cones!…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Donald Lynden-Bell , Mohammad Nouri-Zonoz

In this paper, we established the existence and uniqueness of the spherically symmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski space-time and obtain sharp…

Mathematical Physics · Physics 2010-03-09 Shouxin Chen , Long Pei

We complete the proof of Weinberg's no-go theorem on the cosmological constant problem in classical gravity when the theory has a (global) scale symmetry. Stimulated with this proof, we explore a solution to the cosmological constant…

High Energy Physics - Theory · Physics 2018-12-27 Ichiro Oda

We consider the vacuum Einstein field equations under the Belinski-Zakharov symmetry, which leaves the problem as a 1+1-dimensional quasilinear system of PDEs. Depending on the chosen signature of the metric, these spacetimes contain most…

Analysis of PDEs · Mathematics 2026-02-16 Claudio Muñoz , Jessica Trespalacios

We analyse the stability of global O(3) monopoles in the infinite cut-off (or scalar mass) limit. We obtain the perturbation equations and prove that the spherically symmetric solution is classically stable (or neutrally stable) to axially…

High Energy Physics - Phenomenology · Physics 2010-11-19 Ana Achucarro , Jon Urrestilla

We establish the linear instability of the semiclassical Einstein-Klein-Gordon system linearised about the Minkowski vacuum spacetime. The proof relies on formulating a forcing problem for both metric and state perturbations within the…

Mathematical Physics · Physics 2026-04-02 Stefano Galanda , Paolo Meda , Simone Murro , Nicola Pinamonti , Gabriel Schmid

Einstein-bumblebee gravity, as a class of massive non-minimally coupled vector-tensor theories, provides a useful framework for constraining Lorentz symmetry breaking through astrophysical observations, largely due to the existence of exact…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Zhe Luo , Shoulong Li , Hongwei Yu

We revisit the problem of the rotating generalization of the Fisher-Janis-Newman-Winicour solution of the minimal Einstein-scalar theory proving that the two previously proposed solutions do not satisfy the equations of motion. We also…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Igor Bogush , Dmitri Gal'tsov