No Hot Water

We have no hot water in the house. The landlord said it's because the pipes froze. How can the hot water pipes freeze, but not the cold water. There is plenty of cold water! Today the temperature is expected to rise above freezing. The landlord says the pipes should defrost. Let see if the landlord's hypothesis is correct. Won't know until later today, because he turned off the hot water (in case the pipes burst). Doesn't make sense. Time for a cold sink towel bath, then work! I hate winter and landlords.