Method for treatment of a body of a mammal in cardiac arrest, comprising the step of performing a therapeutic hypothermia of the body after the cardiac arrest has occurred, said therapeutic hypothermia comprising: cooling the body to a target temperature during a cooling time period, said cooling being performed by total liquid ventilation which comprises alternately filling lungs of the body with a cooling liquid and removing from the lungs said cooling liquid, maintaining the body at the target temperature for a hypothermia duration.