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Related papers: Spinning gauged boson and Dirac stars: a comparati…

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We perform the Dirac quantization of RS fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest…

Nuclear Theory · Physics 2016-10-31 D. Badagnani , A. Mariano , C. Barbero

We study the bifurcation phenomena between spherical and axisymmetric bosonic stars. By numerically solving for the zero-modes of spherical bosonic stars under specific axially symmetric perturbations, we discover that excited state…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Chen Liang , Carlos A. R. Herdeiro , Eugen Radu

The Dirac equation in spherically symmetric fields is separated in two different tetrad frames. One is the standard cartesian (fixed) frame and the second one is the diagonal (rotating) frame. After separating variables in the Dirac…

High Energy Physics - Theory · Physics 2009-10-28 Victor M. Villalba

The role of torsion and a scalar field $\phi$ in gravitation, especially, in the presence of a Dirac field in the background of a particular class of the Riemann-Cartan geometry is considered here. Recently, a Lagrangian density with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Prasanta Mahato

Bound states of complex scalar fields (boson stars) have long been proposed as possible candidates for the dark matter in the universe. Considerable work has already been done to study various aspects of boson stars. In the present work,…

General Relativity and Quantum Cosmology · Physics 2008-12-19 R. Sharma , S. Karmakar , S. Mukherjee

In a previous work [arXiv1905.01121] we have derived a quantum master equation for the dynamics of a scalar bosonic particle interacting with a weak, stochastic and classical gravitational field. As standard matter is made of fermions, such…

Quantum Physics · Physics 2021-07-21 Lorenzo Asprea , Giulio Gasbarri

Action for the Dirac spinor field coupled to gravity on noncommutative (NC) Moyal-Weyl space-time is obtained without prior knowledge of the metric tensor. We emphasise gauge origins of gravity (i.e. metric structure) and its interaction…

High Energy Physics - Theory · Physics 2018-04-04 Dragoljub Gočanin , Voja Radovanović

The spin connections of the Dirac field have three ingredients that are connected with the Ricci rotations, the Maxwell field, and an axial field which is coupled to the axial current. I demonstrate that the axial field provides an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Makhlin

We study boson shells and boson stars in a theory of complex scalar field coupled to the $U(1)$ gauge field $A_{\mu}$ and Einstein gravity with the potential: $V(|\Phi|) := \frac{1}{2} m^{2} \left(|\Phi|+ a \right)^2$. This could be…

High Energy Physics - Theory · Physics 2016-06-08 Sanjeev Kumar , Usha Kulshreshtha , Daya Shankar Kulshreshtha

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

Using the language of the Geometric Algebra, we recast the massless Dirac bispinor as a set of Lorentz scalar, bivector, and pseudoscalar fields that obey a generalized form of Maxwell's equations of electromagnetism. The spinor's unusual…

Quantum Physics · Physics 2017-07-18 Anastasios Y. Papaioannou

Classical dynamics of spinning zero-size objects in an external gravitational field is derived from the conservation law of the stress-energy and spin tensors. The resulting world line equations differ from those in the existing literature.…

General Relativity and Quantum Cosmology · Physics 2015-12-22 Milovan Vasilic , Marko Vojinovic

The fundamental character of a fermionic dark matter, whether it is a Dirac or Majorana particle remains a key unresolved issue whose answer would profoundly affect dark-sector phenomenology and detection strategies thereby motivates…

High Energy Astrophysical Phenomena · Physics 2025-12-11 M. Bhuyan , Jeet Amrit Pattnaik , S. K. Patra , Sudhanwa Patra

In this paper we intend to extend some ideas of a recently proposed Lorentz-invariant Bohmian model, obeying Klein-Gordon equations, but considering particles with a spin different than zero. First we build a Bohmian model for a single…

Quantum Physics · Physics 2010-03-09 Sergio Hernández-Zapata

We discuss a connection between the Dirac equation for an electron and the Dirac type tensor equation with ${\rm U}(1)$ gauge symmetry.

Mathematical Physics · Physics 2007-05-23 N. G. Marchuk

In this paper, we investigate the properties of the first excited state Dirac stars (DSs) with higher azimuthal harmonic index (specifically, the azimuthal harmonic indexes $m_D$ = $3/2$, $5/2$, $7/2$), as well as the relationship between…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Long-Xing Huang , Shi-Xian Sun , Rong Zhang , Chen Liang , Yong-Qiang Wang

We have developed a highly accurate numerical code capable of solving the coupled Einstein-Klein-Gordon system, in order to construct rotating boson stars in general relativity. Free fields and self-interacting fields, with quartic and…

General Relativity and Quantum Cosmology · Physics 2014-08-29 Philippe Grandclement , Claire Somé , Eric Gourgoulhon

The coupled Einstein-Dirac-Maxwell equations are considered for a static, spherically symmetric system of two fermions in a singlet spinor state. Stable soliton-like solutions are shown to exist, and we discuss the regularizing effect of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Felix Finster , Joel Smoller , Shing-Tung Yau

Torsion in a 5D spacetime is considered. In this case gravitation is defined by the 5D metric and the torsion. It is conjectured that torsion is connected with a spinor field. In this case Dirac's equation becomes the nonlinear Heisenberg…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Dzhunushaliev V. D

In this article, we investigate soliton solutions in a system involving a charged Dirac field minimally coupled to Einstein gravity and the Bardeen field. We analyze the impact of two key parameters on the properties of the solution family:…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Shi-Xian Sun , Long-Xing Huang , Zhen-Hua Zhao , Yong-Qiang Wang
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