Position space analysis of the AdS (in)stability problem
| Autor: | Ben Freivogel, Fotios V. Dimitrakopoulos, Matthew Lippert, I-Sheng Yang |
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| Přispěvatelé: | String Theory (ITFA, IoP, FNWI) |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics 010308 nuclear & particles physics Holography FOS: Physical sciences Position and momentum space General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Sketch law.invention Gravitation Formalism (philosophy of mathematics) Classical mechanics Thermalisation High Energy Physics - Theory (hep-th) law 0103 physical sciences 010306 general physics |
| Zdroj: | Journal of High Energy Physics The Journal of High Energy Physics, 2015(8):77. Springer Verlag |
| ISSN: | 1126-6708 |
| Popis: | We investigate whether arbitrarily small perturbations in global AdS space are generically unstable and collapse into black holes on the time scale set by gravitational interactions. We argue that current evidence, combined with our analysis, strongly suggests that a set of nonzero measure in the space of initial conditions does not collapse on this time scale. We perform an analysis in position space to study this puzzle, and our formalism allows us to directly study the vanishing-amplitude limit. We show that gravitational self-interaction leads to tidal deformations which are equally likely to focus or defocus energy, and we sketch the phase diagram accordingly. We also clarify the connection between gravitational evolution in global AdS and holographic thermalization. Comment: 40 pages, 12 figures, updated to the version published on JHEP |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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