Does the warranty cover the hairline crack appearing on my Sony Xperia Z3 Compact?

My compact Z3 I bought a few months ago from vodaphone keeps getting very hot but cools when I turn it off. however my screen now has a a hairline cracking appear from righthand corner down across top 20% of the screen. 

Am I covered by your warranty as the phone has not been dropped. 

Unfortunately, that won't be covered by warranty. Although I still suggest that you take it to a service center.

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