Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles

We establish that massive complex Abelian vector fields (mass μ) can form gravitating solitons, when minimally coupled to Einstein's gravity. Such Proca stars (PSs) have a stationary, everywhere regular and asymptotically flat geometry. The Proca field, however, possesses a harmonic time depend...

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Main Authors: Richard Brito, Vitor Cardoso, Carlos A.R. Herdeiro, Eugen Radu
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315009077
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author Richard Brito
Vitor Cardoso
Carlos A.R. Herdeiro
Eugen Radu
author_facet Richard Brito
Vitor Cardoso
Carlos A.R. Herdeiro
Eugen Radu
author_sort Richard Brito
collection DOAJ
description We establish that massive complex Abelian vector fields (mass μ) can form gravitating solitons, when minimally coupled to Einstein's gravity. Such Proca stars (PSs) have a stationary, everywhere regular and asymptotically flat geometry. The Proca field, however, possesses a harmonic time dependence (frequency w), realizing Wheeler's concept of geons for an Abelian spin 1 field. We obtain PSs with both a spherically symmetric (static) and an axially symmetric (stationary) line element. The latter form a countable number of families labelled by an integer m∈Z+. PSs, like (scalar) boson stars, carry a conserved Noether charge, and are akin to the latter in many ways. In particular, both types of stars exist for a limited range of frequencies and there is a maximal ADM mass, Mmax, attained for an intermediate frequency. For spherically symmetric PSs (rotating PSs with m=1,2,3), Mmax≃1.058MPl2/μ (Mmax≃1.568,2.337,3.247MPl2/μ), slightly larger values than those for (mini-)boson stars. We establish perturbative stability for a subset of solutions in the spherical case and anticipate a similar conclusion for fundamental modes in the rotating case. The discovery of PSs opens many avenues of research, reconsidering five decades of work on (scalar) boson stars, in particular as possible dark matter candidates.
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spelling doaj.art-1efa0baf60514792b2426a3179e209962022-12-22T03:56:25ZengElsevierPhysics Letters B0370-26931873-24452016-01-01752C29129510.1016/j.physletb.2015.11.051Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particlesRichard Brito0Vitor Cardoso1Carlos A.R. Herdeiro2Eugen Radu3CENTRA, Departamento de Física, Instituto Superior Técnico – IST, Universidade de Lisboa – UL, Avenida Rovisco Pais 1, 1049, Lisboa, PortugalCENTRA, Departamento de Física, Instituto Superior Técnico – IST, Universidade de Lisboa – UL, Avenida Rovisco Pais 1, 1049, Lisboa, PortugalDepartamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, PortugalDepartamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, PortugalWe establish that massive complex Abelian vector fields (mass μ) can form gravitating solitons, when minimally coupled to Einstein's gravity. Such Proca stars (PSs) have a stationary, everywhere regular and asymptotically flat geometry. The Proca field, however, possesses a harmonic time dependence (frequency w), realizing Wheeler's concept of geons for an Abelian spin 1 field. We obtain PSs with both a spherically symmetric (static) and an axially symmetric (stationary) line element. The latter form a countable number of families labelled by an integer m∈Z+. PSs, like (scalar) boson stars, carry a conserved Noether charge, and are akin to the latter in many ways. In particular, both types of stars exist for a limited range of frequencies and there is a maximal ADM mass, Mmax, attained for an intermediate frequency. For spherically symmetric PSs (rotating PSs with m=1,2,3), Mmax≃1.058MPl2/μ (Mmax≃1.568,2.337,3.247MPl2/μ), slightly larger values than those for (mini-)boson stars. We establish perturbative stability for a subset of solutions in the spherical case and anticipate a similar conclusion for fundamental modes in the rotating case. The discovery of PSs opens many avenues of research, reconsidering five decades of work on (scalar) boson stars, in particular as possible dark matter candidates.http://www.sciencedirect.com/science/article/pii/S0370269315009077
spellingShingle Richard Brito
Vitor Cardoso
Carlos A.R. Herdeiro
Eugen Radu
Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles
Physics Letters B
title Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles
title_full Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles
title_fullStr Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles
title_full_unstemmed Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles
title_short Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles
title_sort proca stars gravitating bose einstein condensates of massive spin 1 particles
url http://www.sciencedirect.com/science/article/pii/S0370269315009077
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