Thank you for the question. There are a variety of ways to coax green tomatoes to ripen indoors. The following information is from Colorado Extension publication http://www.ext.colostate.edu/ptlk/1831.html :

"Fruit does not need light to ripen. One difficulty with ripening tomatoes indoors is controlling humidity. If the humidity is too low, fruit shrivels. If the humidity is too high, fruit molds. Some gardeners simply hang the whole plant upside down in a dark, cool garage or basement to let the fruit ripen gradually. In Colorado, fruits tend to shrivel from the low humidity.

Other options include placing tomatoes one or two layers deep in a covered box for ripening. Some people find better success by individually wrapping fruit in newspaper or wax paper and placing them in a covered box. Placing a few fruits together in a plastic bag has been effective for others. For higher humidity, place tomatoes up to two layers deep in a blanching pan or strainer inside of a covered pan with some water in the bottom. Make sure the fruit does not touch the water.

Ethylene gas produced by ripening tomatoes is a ripening hormone. To speed the ripening process, place a ripe tomato or banana in the container with the fruit. To slow the ripening of green tomatoes, routinely remove ripening fruit from the container.

Green fruit will ripen in about two weeks at 65 to 70 degrees F, and in about 3-4 weeks at 55 degrees F. Storage below 50 degrees F will give fruit a bland, off flavor.

To store and ripen mature green tomatoes, put them in deep straw, wrap them individually in newspaper, or just lay them in a box so that they are not touching. Check tomatoes every few days and discard any that show signs of rot. Storage temperature should range from 60 to 70 degrees. They will ripen over a period of three to four weeks".

There are many things you can do with green tomatoes. They are delicious breaded and fried, pickled, or even frozen to be used in soups and stews. Read this University of Alaska Fairbanks Extension publication that contains many interesting recipes using green tomatoes: http://www.uaf.edu/files/ces/publications-db/catalog/hec/FNH-00024.pdf/