Abstract
The study of scalar fields coupled to gravity when there is a negative cosmological constant gives important insight on the possible instability of anti-de Sitter spacetime. In this short paper we consider the question how different the scalar field evolution is when the background is a fixed AdS metric. It is known that self-interacting massive real scalar fields on flat Minkowski background can form long living oscillating localized objects, named oscillons. In the flat background case these objects radiate energy extremely slowly, in a rate which is exponentially suppressed in terms of the central amplitude. However, on AdS background there are localized exactly time-periodic non-radiating solutions.
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This research has been supported by OTKA grant K 101709.
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Fodor, G., Forgács, P., Grandclément, P. (2014). Scalar Fields on Anti-de Sitter Background. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_8
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DOI: https://doi.org/10.1007/978-3-319-06761-2_8
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