# Polynomial tails and conservation laws of waves on black holes

CMSA GENERAL RELATIVITY SEMINAR

##### Speaker:

Dejan Gajic *- University of Cambridge*

In 1972, Price suggested that inverse polynomial tails should be present in the late-time behaviour of scalar fields on Schwarzschild black holes. In the decades since, many features of these tails have been explored both numerically and heuristically in more general settings. The presence of polynomial tails in the context of the Einstein equations has important implications for the nature of singularities inside dynamical black holes and the late-time behaviour of gravitational waves observed at infinity. In this talk I will discuss recent work in collaboration with Y. Angelopoulos and S. Aretakis that establishes rigorously the existence of Price's polynomial late-time tails in the context of scalar fields on black holes. I will moreover describe how late-time tails are connected to the existence of conservation laws for scalar fields in asymptotically flat spacetimes.

via Zoom: **https://harvard.zoom.us/j/579137378**