AdS (in)stability: Lessons from the scalar field

Basu, Pallab and Krishnan, Chethan and Subramanian, Bala PN (2015) AdS (in)stability: Lessons from the scalar field. In: PHYSICS LETTERS B, 746 . pp. 261-265.

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Abstract

We argued in arXiv: 1408.0624 that the quartic scalar field in AdS has features that could be instructive for answering the gravitational stability question of AdS. Indeed, the conserved charges identified there have recently been observed in the full gravity theory as well. In this paper, we continue our investigation of the scalar field in AdS and provide evidence that in the Two-Time Formalism (TTF), even for initial conditions that are far from quasi-periodicity, the energy in the higher modes at late times is exponentially suppressed in the mode number. Based on this and some related observations, we argue that there is no thermalization in the scalar TTF model within time-scales that go as similar to 1/epsilon(2), where epsilon measures the initial amplitude (with only low-lying modes excited). It is tempting to speculate that the result holds also for AdS collapse. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.

Item Type:	Journal Article
Publication:	PHYSICS LETTERS B
Publisher:	ELSEVIER SCIENCE BV
Additional Information:	Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Keywords:	Resonant instability; AdS
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	06 Jul 2015 06:55
Last Modified:	15 Jul 2015 04:49
URI:	http://eprints.iisc.ac.in/id/eprint/51808

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