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The local momentum space method is used to study the quantized massive vector field (the Proca field) with the possible addition of non-minimal terms. Heat kernel coefficients are calculated and used to evaluate the divergent part of the…

High Energy Physics - Theory · Physics 2015-09-22 David J. Toms

We show that complex, massive spin-1 fields minimally coupled to Einstein's gravity with a negative cosmological constant, admit asymptotically anti-de Sitter self-gravitating solutions. Focusing on 4-dimensional spacetimes, we start by…

General Relativity and Quantum Cosmology · Physics 2016-09-26 Miguel Duarte , Richard Brito

It is notoriously difficult to construct a stable non-singular bouncing cosmology that avoids all possible instabilities throughout the entire evolution of the universe. In this work, we explore whether a non-singular bounce driven by a…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Lara Bohnenblust , Serena Giardino , Lavinia Heisenberg , Nadine Nussbaumer

The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static, cylindrically symmetric metric and matter…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Y. Brihaye , Y. Verbin

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field,…

High Energy Physics - Theory · Physics 2013-11-18 Jose Beltrán Jiménez , Ruth Durrer , Lavinia Heisenberg , Mikjel Thorsrud

The detection of black hole scalar hair, a possible deviation from general relativity's "no-hair" theorem, requires sensitive probes beyond conventional methods. This study proposes chaotic dynamics as a novel indicator for scalar hair in…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Yang Yu , Ruo-Ting Chen , Shulan Li , Dan Zhang , Jian-Pin Wu

We introduce a non-linear extension of Proca's field theory for massive vector (spin $1$) bosons. The associated relativistic nonlinear wave equation is related to recently advanced nonlinear extensions of the Schroedinger, Dirac, and…

General Physics · Physics 2016-07-20 F. D. Nobre , A. R. Plastino

In this paper, we study Proca stars in asymptotically anti-de Sitter (AdS) Ellis wormholes. This study distinguishes itself from the analysis of the Proca stars in asymptotically flat spacetimes. In the AdS Ellis wormhole background, the…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Gen Li , Chen-Hao Hao , Xin Su , Yong-Qiang Wang

Photon mass and Cartan contortion bounds recently obtained from tiny Lorentz violation observations in cosmology are used to find a limit of ${\lambda}\le 10^{-4}{\alpha}$ for the massive photon-torsion dimensionless coupling. Here…

Astrophysics · Physics 2007-05-23 L. C. Garcia de Andrade

Bosonic stars,hypothetical astrophysical entities, are generally categorized into two primary classes based on the nature of their constituent particles: Einstein Klein Gordon stars, made up of massive scalar bosons, and Proca stars, their…

Astrophysics of Galaxies · Physics 2025-09-24 Jorge Castelo Mourelle , Nicolas Sanchis-Gual , José A. Font

In general relativity, Maxwell's equations are embedded in curved spacetime through the minimal prescription, but this could change if strong-gravity modifications are present. We show that with a nonminimal coupling between gravity and a…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Lorenzo Annulli , Vitor Cardoso , Leonardo Gualtieri

This article provides a general study of the Hamiltonian stability and the hyperbolicity of vector field models involving both a general function of the Faraday tensor and its dual, $f(F^2,F\tilde F)$, as well as a Proca potential for the…

General Relativity and Quantum Cosmology · Physics 2010-04-29 Gilles Esposito-Farese , Cyril Pitrou , Jean-Philippe Uzan

The Proca wave equation describes a classical massive spin 1 particle. We analyze the gravitational interaction of this vector field. In particular, the spherically symmetric solutions of the Einstein-Proca coupled system are obtained…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Yuri N. Obukhov , Eugen J. Vlachynsky

In this thesis we investigate the Proca field in arbitrary globally hyperbolic curved spacetimes. We rigorously construct solutions to the classical Proca equation, including external sources and without restrictive assumptions on the…

Mathematical Physics · Physics 2017-09-04 Maximilian Schambach

We analytically investigate a new family of horizonless compact objects in vector-tensor theories of gravity, called ultracompact vector stars. They are sourced by a vector condensate, induced by a non-minimal coupling with gravity. They…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Gianmassimo Tasinato

We confront massive Proca-Nuevo gravity with cosmological observations. The former is a non-linear theory involving a massive spin-1 field, that can be extended incorporating operators of the Generalized Proca class, and when coupled to…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Fotios K. Anagnostopoulos , Emanuel N. Saridakis

We continue our study on the capabilities of present and future X-ray missions to test the nature of astrophysical black hole candidates via X-ray reflection spectroscopy and distinguish Kerr black holes from other solutions of…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Menglei Zhou , Cosimo Bambi , Carlos A. R. Herdeiro , Eugen Radu

The superradiant instability modes of ultralight massive vector bosons are studied for weakly charged rotating black holes in Einstein--Maxwell gravity (the Kerr--Newman solution) and low-energy heterotic string theory (the Kerr--Sen black…

We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field besides the two tensor polarizations from gravity. These new…

High Energy Physics - Theory · Physics 2016-08-16 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

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
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