Wiktionary
n. (context British English) A council estate characterised by high levels of economic and social deprivation, often associated with high crime rates.
Wikipedia
A sink estate is a British council housing estate characterised by high levels of economic and social deprivation. Such estates are not always high crime areas although there is a strong correlation between crime rates and sink estates in large urban areas.
Usage examples of "sink estate".
Still, I can hardly complain that my last days on this beautiful planet are going to be spent on a sink estate on the outskirts of a failing industrial city, surrounded by dirt and random acts of violence.
The Tinder Box portrays immigrant Irish tinkers as hate figures in a wealthy Hampshire village, but a similar hatred is demonstrated against a convicted paedophile in a sink estate in Acid Row.