Looking at the Gregory-Laflamme instability through quasinormal modes

We study evolution of gravitational perturbations of black strings. It is well known that for all wave numbers less than some threshold value, the black string is unstable against the scalar type of gravitational perturbations, which is named the Gregory-Laflamme instability. Using numerical methods, we find the quasinormal modes and time-domain profiles of the black string perturbations in the stable sector and also show the appearance of the Gregory-Laflamme instability in the time domain. The dependence of the black string quasinormal spectrum and late-time tails on such parameters as the wave vector and the number of extra dimensions is discussed. There is numerical evidence that at the threshold point of instability, the static solution of the wave equation is dominant. For wave numbers slightly larger than the threshold value, in the region of stability, we see tiny oscillations with very small damping rate. While, for wave numbers slightly smaller than the threshold value, in the region of the Gregory-Laflamme instability, we observe tiny oscillations with very small growth rate. We also find the level crossing of imaginary part of quasinormal modes between the fundamental mode and the first overtone mode, which accounts for the peculiar time domain profiles.

Gregory the Great

Gregory the Great was one of the four great fathers of the western Church, quickly rising from a monk, to a deacon, and eventually to the papal office (590-604). This book provides an introduction to the life and times of Gregory the Great. Particular attention is paid to his thinking and his writings including translations of his commentaries on translating the Bible, his sermons to the people, his reflections on the human condition, and, perhaps his most important work, his commentary on the Book of Job. A great addition to the series. 177p (The Early Church Fathers, Routledge 2005)

Systematics of Laccaria (Agaricales) in the continental United States and Canada, with discussions on extralimital taxa and descriptions of extant types / Gregory M. Mueller.

n.s. no.30(1992)

Mycological contributions of Rolf Singer : field itinerary, index to new taxa, and list of publications / Gregory M. Mueller and Qiuxin Wu, editors.

n.s. no.38(1997)