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Related papers: Particle-like solutions in the generalized SU(2) P…

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A modified gravitational action is considered which involves the quantity $F_{\mu\nu}=\partial_{\mu}\Gamma_{\nu}-\partial_{\nu}\Gamma_{\mu}$, where $\Gamma_{\mu}=\Gamma^{\alpha}_{\mu\alpha}$. Since $\Gamma_{\mu}$ transforms like a U(1)…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dan N. Vollick

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…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Peter Breitenlohner , Peter Forgacs , Dieter Maison

Proca-Nuevo is a non-linear theory of a massive spin-1 field which enjoys a non-linearly realized constraint that distinguishes it among other generalized vector models. We show that the theory may be extended by the addition of operators…

High Energy Physics - Theory · Physics 2022-03-30 Claudia de Rham , Sebastian Garcia-Saenz , Lavinia Heisenberg , Victor Pozsgay

We consider strongly gravitating configurations consisting of coupled real Higgs scalar field and vector (Proca) field of mass $\mu_P$. For such a system, we find static regular axially symmetric solutions describing asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2021-11-11 Vladimir Dzhunushaliev , Vladimir Folomeev

We categorize the global structure of spherically symmetric static solutions of Einstein SU(2) Yang Mills equations with positive cosmological constant that are smooth at the center of spherical symmetry.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander N. Linden

We work on a spacetime manifold foliated by timelike leaves. In this setting, we explore the solution of the second-class constraints arising during the canonical analysis of the Holst action with a cosmological constant. The solution is…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Merced Montesinos , Jorge Romero , Ricardo Escobedo , Mariano Celada

By casting the Yang-Mills-Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similiar solutions for Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-28 Douglas Singleton

We quantize the interaction of gravity with Yang-Mills and spinor fields, hence offering a quantum theory incorporating all four fundamental forces of nature. Using canonical quantization we obtain solutions of the Wheeler-DeWitt equation…

Mathematical Physics · Physics 2014-03-25 Claus Gerhardt

Some special solutions of the Einstein-Maxwell action with a non-negative cosmological constant and a very heavy point mass particle have been obtained. The solutions correspond to static spacetime of locally constant curvature in its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Jafarizadeh , H. Fakhri , S. K. Moayedi

We establish that massive complex Abelian vector fields (mass $\mu$) can form gravitating solitons, when minimally coupled to Einstein's gravity. Such Proca stars (PSs) have a stationary, everywhere regular and asymptotically flat geometry.…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Richard Brito , Vitor Cardoso , Carlos A. R. Herdeiro , Eugen Radu

There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric…

High Energy Physics - Theory · Physics 2021-10-29 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

We investigate the gravitational memory effect in the full Generalized Proca gravity, the most general metric theory including a gravitational Proca field with derivative self-interactions that still maintains second-order equations of…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lavinia Heisenberg , Benedetta Rosatello , Guangzi Xu , Jann Zosso

We investigate quantum stability of the generalised Proca theories in curved spacetime treating gravity as a dynamical field. To compute the quantum gravitational corrections we evaluate divergent part of the effective action at one loop…

High Energy Physics - Theory · Physics 2022-02-09 Sukanta Panda , Abbas Tinwala , Archit Vidyarthi

We review particle-like configurations of complex scalar field, localized by gravity, so-called boson stars. In the simplest case, these solutions posses spherical symmetry, they may arise in the massive Einstein-Klein-Gordon theory with…

General Relativity and Quantum Cosmology · Physics 2022-04-14 Yakov Shnir

We derive a local, gauge invariant action for the SU(N) non-linear sigma-model in 2+1 dimensions. In this setting, the model is defined in terms of a self-interacting pseudo vector-field \theta_\mu, with values in the Lie algebra of the…

High Energy Physics - Theory · Physics 2010-12-01 C. D. Fosco , C. P. Constantinidis

We consider self-gravitating stationary configurations of a charged massive complex Proca field, also known as charged Proca stars, in the particular case of spherical symmetry. We first present a general 3+1 decomposition of the…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Yahir Mio , Miguel Alcubierre

We investigate Proca star (PS) solutions, namely boson star (BS) type solutions for a complex vector field with mass and nonminimal coupling to the Einstein tensor. Irrespective of the existence of nonminimal coupling, PS solutions are…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Masato Minamitsuji

We show that a non-trivial topological effect breaks the conformal invariance of pure Yang-Mills theory. Thus it is possible that classic particle-like solutions exists in pure non-Abelian Yang-Mills theory. We find a static, non-singular…

High Energy Physics - Theory · Physics 2007-05-23 X. -J. Wang , M. -L. Yan

Generalised Proca theories of gravity represent an interesting class of vector-tensor theories where only three propagating degrees of freedom are present. In this work, we propose a new teleparallel gravity analog to Proca theories where…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Gianbattista-Piero Nicosia , Jackson Levi Said , Viktor Gakis

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

Mathematical Physics · Physics 2007-05-23 Reinoud J. Slagter