Self-gravitating scalar breathers with a negative cosmological constant

Fodor, Gyula and Forgács, Péter and Grandclément, Ph (2015) Self-gravitating scalar breathers with a negative cosmological constant. PHYSICAL REVIEW D, 92 (2). ISSN 2470-0010

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Abstract

Breather-type (time-periodic and spatially localized) solutions with spherical symmetry are in- vestigated 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.

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