Dealing with water damage in rental apartment, what am I entitled to?

Hello,

I'm currently dealing with some serious water damage that was done to our rental apartment during the holidays. We left Japan for around 2 months for some work stuff and holidays and during that time a water pipe burst in the apartment above which caused a leakage, we received a call while abroad and I had a friend go and investigate with the landlord to see what could be done. At the time of checking it was just a small leakage of water and they set something up to redirect the water to the sink so I assumed that was gonna be it.

Since the apartment above was the one at fault the management company for that apartment is in charge of the repairs, but it seems the damage done was greater than expected so when we arrived we noticed half the bathroom had the ceiling destroyed and mold had spread everywhere getting to the point where it even rotted a wodden shelf that we used and all the stuff inside it. Additionally, the moisture has made some of the doors in the bathroom and nearby areas unusable since they are not closing correctly due to the expansion of the wood.

Here are some pictures https://imgur.com/a/0aXxWeK showing the damage.

I already confirmed with the landlord that this was done due to the repairs which need some time to air out the moisture before they can start.

I already talked with the landlord and since it's the above's apartment fault we are kinda waiting for them to fix this but given that our apartment is barely livable and there's also the health risk of mold(We cleaned as best as we could but we have an open roof which is probably moldy as well), if this lasts for more than a couple of weeks I feel like this not fair to the rent that we are paying.

Additionally, we have the renewal coming up this week, I already asked the landlord if she could extend the payment date to next month as we are trying to figure out if we can move or something, but even moving would be too great of a cost for us right now.

Does anyone have any advice on what we can do?

by salmix21