2008/05/31 by Diego H. Correa, Diego H Correa, Julio Oliva +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry and complex manifolds #gr-qc #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/08/081
published as JHEP 0808:081,2008 · 33 pages, 4 figures; v2: Analysis extended to gravitational solitons, references added, last version for JHEP
arxiv created 2008/08/18 · openalex publication_date 2008/08/26 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The stability of certain class of asymptotically AdS wormholes in vacuum against scalar field perturbations is analyzed. For a free massive scalar field, the stability of the perturbation is guaranteed provided the squared mass is bounded from below by a negative quantity. Depending on the base manifold of the AdS asymptotics, this lower bound could be more stringent than the Breitenlohner-Freedman bound. An exact expression for the spectrum is found analytically. For a scalar field perturbation with a nonminimal coupling, slow fall-off asymptotic behavior is also allowed, provided the squared mass fulfills certain negative upper bound. Although the Ricci scalar is not constant, an exact expression for the spectrum of the scalar field can also be found, and three different quantizations for the scalar field can be carried out. They are characterized by the fall-off of the scalar field, which can be fast or slow with respect to each asymptotic region. For these perturbations, stability can be achieved in a range of negative squared masses which depends on the base manifold of the AdS asymptotics. This analysis also extends to a class of gravitational solitons with a single conformal boundary.