In the early stages of abortion a general anaesthetic is unnecessary. There are health risks associated with the use of general anaesthetic especially if you are overweight, suffer from heart condition, or are asthmatic. Besides, if you choose not to have an anaesthetic you will generally recover much faster after the abortion. There is the option of using general anaesthetic but this is wholly dependent on the clinic whose abortion services you are using. There is the medical abortion (abortion pill) that does not require anaesthetic.