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Related papers: Dirac-Proca stars

200 papers

The fundamental solution of the Dirac equation for an electron in an electromagnetic field with harmonic dependence on space-time coordinates is obtained. The field is composed of three standing plane harmonic waves with mutually orthogonal…

Quantum Physics · Physics 2016-06-10 G. N. Borzdov

We present a comparative analysis of the self-gravitating solitons arising in the Einstein-Klein-Gordon, Einstein-Dirac and Einstein-Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Carlos A. R. Herdeiro , Eugen Radu

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

In this paper, we construct the Dirac stars model composed of two Dirac fields and Einstein gravity in four-dimensional Anti-de Sitter spacetime. We consider the Dirac stars with free field (no self-interacting). Our investigation focuses…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Xiao-Yu Zhang , Li-Zhao , Yong-Qiang Wang

The Einstein-Proca equations, describing a spin-1 massive vector field in general relativity, are studied in the static, spherically-symmetric case. The Proca field equation is a highly nonlinear wave equation, but can be solved to good…

General Relativity and Quantum Cosmology · Physics 2014-06-04 Chris Vuille , James Ipser , Jeff Gallagher

Anisotropic spherically symmetric solutions within the framework of the Brans-Dicke theory are uncovered through a unique gravitational decoupling approach involving a minimal geometric transformation. This transformation effectively…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Kazuharu Bamba , M. Z. Bhatti , Z. Yousaf , Z. Shoukat

We explicitly carry out the symplectic quantization of a family of multi-field Generalized Proca (GP) electrodynamics theories. In the process, we provide an independent derivation of the so-called secondary constraint enforcing relations…

High Energy Physics - Theory · Physics 2022-05-26 Verónica Errasti Díez , Marina Krstic Marinkovic

Scalar bosonic stars (BSs) stand out as a multi-purpose model of exotic compact objects. We enlarge the landscape of such (asymptotically flat, stationary, everywhere regular) objects by considering multiple fields (possibly) with different…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Nicolas Sanchis-Gual , Fabrizio Di Giovanni , Carlos Herdeiro , Eugen Radu , José A. Font

The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic matter. The equations can be reduced to a system of two nonlinear ordinary differential equations and we present analytical and numerical…

General Relativity and Quantum Cosmology · Physics 2014-03-25 I. Brito , J. Carot , F. C. Mena , E. G. L. R. Vaz

Einstein-Dirac equations for two spinor fields are considered. It is shown that in this case one can obtain self-consistent equations set for these gravitating spinors. The key idea to obtain Einstein-Dirac equations is to use special…

General Relativity and Quantum Cosmology · Physics 2011-04-18 Vladimir Dzhunushaliev

We consider a spatially homogeneous and isotropic cosmological model where Dirac spinors are coupled to classical gravity. For the Dirac spinors we choose a Hartree-Fock ansatz where all one-particle wave functions are coherent and have the…

Mathematical Physics · Physics 2014-04-23 Felix Finster , Christian Hainzl

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

We study various properties of a Proca field coupled to gravity through minimal and quadrupole interactions, described by a two-parameter family of Lagrangians. St\"uckelberg decomposition of the effective theory spells out its…

High Energy Physics - Theory · Physics 2018-10-17 Talal Ahmed Chowdhury , Rakibur Rahman , Zulfiqar Ali Sabuj

The physical modes of a recently proposed D-dimensional "critical gravity", linearized about its anti-de Sitter vacuum, are investigated. All "log mode" solutions, which we categorize as `spin 2' or `Proca', arise as limits of the massive…

High Energy Physics - Theory · Physics 2011-06-02 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Paul K. Townsend

We study the Dirac--Klein-Gordon system in $1+2$ spacetime dimensions. We show global existence of the solutions, as well as sharp time decay and linear scattering. One key advance is that we provide the first asymptotic stability result…

Analysis of PDEs · Mathematics 2023-11-15 Shijie Dong , Zoe Wyatt

We obtain solutions of Einstein's equations describing gravitational field outside a noncanonical global monopole with cosmological constant. In particular, we consider two models of k-monopoles: the Dirac-Born-Infeld (DBI) and the…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Ilham Prasetyo , Handhika S. Ramadhan

We perform numerical evolutions of the fully non-linear Einstein-(complex, massive)Klein-Gordon and Einstein-(complex)Proca systems, to assess the formation and stability of spinning bosonic stars. In the scalar/vector case these are known…

General Relativity and Quantum Cosmology · Physics 2019-12-04 N. Sanchis-Gual , F. Di Giovanni , M. Zilhão , C. Herdeiro , P. Cerdá-Durán , J. A. Font , E. Radu

The Proca potential has been used in many contexts in flat spacetime, but not so often in curved spacetime. Here, the static Proca potentials are derived on a Schwarzschild background, and are found to have very different forms from those…

General Physics · Physics 2016-10-13 Chris Vuille

Exact static, spherically symmetric solutions to the Einstein-Abelian gauge-dilaton equations, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the gauge field potential having three nonzero…

General Relativity and Quantum Cosmology · Physics 2008-02-03 K. A. Bronnikov

Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Jacek Syska