Self-gravitating scalar breathers with 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 $d$.

24 pages, 13 figures, one figure and references added, version accepted for Phys. Rev. D

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• Time-evolution of holographic entanglement entropy and metric perturbations
• Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
• AdS nonlinear instability: breaking spherical and axial symmetries
• A review on radiation of oscillons and oscillatons
• New islands of stability with double-trace deformations
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• Gravitational Perturbations in a cavity: Nonlinearities
• Nonlinear perturbations of higher dimensional anti-de Sitter spacetime
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• Dynamics of a nonminimally coupled scalar field in asymptotically $Ad{S}_4$ spacetime
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