The currency in Norway is Norwegian Crowns (NOK and not EURO). You may use your credit card practically everywhere. ATMs are called Minibanks in Norway.
The main airport for Oslo is Oslo Airport Gardermoen (OSL). There are two other airports which are sometimes referred to as Oslo, namely Rygge (RYG) and Torp (TRF). It should be noted that they are further away from Oslo than the main airport Gardermoen. Torp and Rygge are served by low-cost carriers, and are only recommended if you are very short on money. This is because of the long travelling times to and from the airports.
When you leave the customs area, you should turn
right and walk to the end of the hall, where you will find the
entrance to the airport express train Flytoget, and the regular NSB train service.
The airport express train takes you to the Oslo central station, Oslo S, in about 20 minutes. One ride costs 170 NOK, and you are obliged to buy a ticket before boarding these trains — it is not possible to buy tickets on board. Tickets may be bought by swiping your credit card at the checkpoint, at the ticket vending machines, or at the NSB counters.
The regular train service will bring you to Oslo S in about half an hour. Tickets cost 90 NOK (plus a 40 NOK fee if you buy your ticket on board of the train).
Torpekspressen offers bus transportation to/from the Oslo Central bus station (Oslo Bussterminalen), which is in 5 minutes walking distance from the central train station. The ride takes about 1:45h and costs 220 NOK for a one-way ticket and 380 NOK for a round-trip ticket.
NSB trains to/from Oslo S depart once an hour. The ride takes about 1:45h and costs 245 NOK (plus a 40 NOK fee if you buy your ticket on board of the train). There is a free shuttle bus connection between the airport and the train station.
At Rygge airport, bus transportation is provided by Rygge-Expressen. The transportation is to/from the Oslo Central bus station (Oslo Bussterminalen), which is in 5 minutes walking distance from the central train station.
The airport is also served by NSB trains to/from Oslo S, with a free shuttle bus connection between the airport and the train station. A ride to Oslo takes about 50 minutes and costs 151 NOK (plus a 40 NOK fee if you buy your ticket on board of the train).
In case you would like to use the opportunity to visit other parts of Norway, we have collected a few hints and links: