Higher order perturbations of anti–de Sitter space and time-periodic solutions of vacuum Einstein equations

Bibliographic description

punktacja MEiN [2017 A]: 35

title:	Higher order perturbations of anti–de Sitter space and time-periodic solutions of vacuum Einstein equations
author:	Rostworowski Andrzej
journal title:	Physical Review. D
volume:	95
issue:	12
date of publication :	2017
article ID:	124043
ISSN:	2470-0010
eISSN:	2470-0029
DOI:	10.1103/PhysRevD.95.124043
language:	English
journal language:	English
abstract in English:	Motivated by the problem of stability of anti–de Sitter (AdS) spacetime, we discuss nonlinear gravitational perturbations of maximally symmetric solutions of vacuum Einstein equations in general and the case of AdS in particular. We present the evidence that, similarly to the self-gravitating scalar field at spherical symmetry, the negative cosmological constant allows for the existence of globally regular asymptotically AdS, time-periodic solutions of vacuum Einstein equations whose frequencies bifurcate from linear eigenfrequencies of AdS. Interestingly, our preliminary results indicate that the number of one-parameter families of time-periodic solutions bifurcating from a given eigenfrequency equals the multiplicity of this eigenfrequency.
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
type:	journal article
subtype:	academic paper