Stability of asymptotically AdS wormholes in vacuum against scalar field perturbations - High Energy Physics - TheoryReport as inadecuate




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Abstract: The stability of certain class of asymptotically AdS wormholes in vacuumagainst scalar field perturbations is analyzed. For a free massive scalarfield, the stability of the perturbation is guaranteed provided the squaredmass is bounded from below by a negative quantity. Depending on the basemanifold of the AdS asymptotics, this lower bound could be more stringent thanthe Breitenlohner-Freedman bound. An exact expression for the spectrum is foundanalytically. For a scalar field perturbation with a nonminimal coupling, slowfall-off asymptotic behavior is also allowed, provided the squared massfulfills certain negative upper bound. Although the Ricci scalar is notconstant, an exact expression for the spectrum of the scalar field can also befound, and three different quantizations for the scalar field can be carriedout. They are characterized by the fall-off of the scalar field, which can befast or slow with respect to each asymptotic region. For these perturbations,stability can be achieved in a range of negative squared masses which dependson the base manifold of the AdS asymptotics. This analysis also extends to aclass of gravitational solitons with a single conformal boundary.



Author: Diego H. Correa, Julio Oliva, Ricardo Troncoso

Source: https://arxiv.org/







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