Self-gravitating scalar breathers with a negative cosmological constant

G. Fodor, P. Forgács, Philippe Grandclément

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Breather-type (time-periodic and spatially localized) solutions with spherical symmetry are investigated in a massless scalar field theory coupled to Einstein's gravity with cosmological constant in d spatial dimensions imposing anti-de Sitter (AdS) asymptotics on space-time. Using a code constructed with the Kadath library that enables the use of spectral methods, the phase space of breather solutions is explored in detail for d=3 and d=4. It is found that there are discrete families of solutions indexed by an integer and by their frequency. Using a time evolution code these AdS breathers are found to be stable for up to a critical central density, in analogy to boson stars. Using an analytical perturbative expansion small amplitude breathers are worked out for arbitrary dimensions d.

Original languageEnglish
Article number025036
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume92
Issue number2
DOIs
Publication statusPublished - Jul 24 2015

Fingerprint

scalars
spectral methods
integers
bosons
gravitation
stars
expansion
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Self-gravitating scalar breathers with a negative cosmological constant. / Fodor, G.; Forgács, P.; Grandclément, Philippe.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 92, No. 2, 025036, 24.07.2015.

Research output: Contribution to journalArticle

@article{9c665e56f3ab4423afc3a0d1b9726863,
title = "Self-gravitating scalar breathers with a negative cosmological constant",
abstract = "Breather-type (time-periodic and spatially localized) solutions with spherical symmetry are investigated in a massless scalar field theory coupled to Einstein's gravity with cosmological constant in d spatial dimensions imposing anti-de Sitter (AdS) asymptotics on space-time. Using a code constructed with the Kadath library that enables the use of spectral methods, the phase space of breather solutions is explored in detail for d=3 and d=4. It is found that there are discrete families of solutions indexed by an integer and by their frequency. Using a time evolution code these AdS breathers are found to be stable for up to a critical central density, in analogy to boson stars. Using an analytical perturbative expansion small amplitude breathers are worked out for arbitrary dimensions d.",
author = "G. Fodor and P. Forg{\'a}cs and Philippe Grandcl{\'e}ment",
year = "2015",
month = "7",
day = "24",
doi = "10.1103/PhysRevD.92.025036",
language = "English",
volume = "92",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "2",

}

TY - JOUR

T1 - Self-gravitating scalar breathers with a negative cosmological constant

AU - Fodor, G.

AU - Forgács, P.

AU - Grandclément, Philippe

PY - 2015/7/24

Y1 - 2015/7/24

N2 - Breather-type (time-periodic and spatially localized) solutions with spherical symmetry are investigated in a massless scalar field theory coupled to Einstein's gravity with cosmological constant in d spatial dimensions imposing anti-de Sitter (AdS) asymptotics on space-time. Using a code constructed with the Kadath library that enables the use of spectral methods, the phase space of breather solutions is explored in detail for d=3 and d=4. It is found that there are discrete families of solutions indexed by an integer and by their frequency. Using a time evolution code these AdS breathers are found to be stable for up to a critical central density, in analogy to boson stars. Using an analytical perturbative expansion small amplitude breathers are worked out for arbitrary dimensions d.

AB - Breather-type (time-periodic and spatially localized) solutions with spherical symmetry are investigated in a massless scalar field theory coupled to Einstein's gravity with cosmological constant in d spatial dimensions imposing anti-de Sitter (AdS) asymptotics on space-time. Using a code constructed with the Kadath library that enables the use of spectral methods, the phase space of breather solutions is explored in detail for d=3 and d=4. It is found that there are discrete families of solutions indexed by an integer and by their frequency. Using a time evolution code these AdS breathers are found to be stable for up to a critical central density, in analogy to boson stars. Using an analytical perturbative expansion small amplitude breathers are worked out for arbitrary dimensions d.

UR - http://www.scopus.com/inward/record.url?scp=84939128724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84939128724&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.92.025036

DO - 10.1103/PhysRevD.92.025036

M3 - Article

AN - SCOPUS:84939128724

VL - 92

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 025036

ER -