Oh gosh, I saw a show on TV about someone who had EXACTLY the same experience happen to them! The person was being operated on. To perform the operation, her body had to be made "clinically dead". During the operation, her soul appeared outside of her body, and she was able to see and hear all going on in the room. Afterwards, the doctors and assistants confirmed that what she saw and heard was indeed what happened!
I believe that, because the body was so close to death, the soul in fact exited it. When the body was "brought back to life", the soul went back in to live the rest of it's life.
I beg you, please don't listen to most of the answers provided to this question. As you said, when they can't figure it out, they resort to accusations of lying.
Obviously, God has a plan for your life. Have you ever seen God? Do you attend church? If not, please pray to him now. I promise you that if you honestly allow God into your soul, he WILL come. If you are skeptical, PLEASE try anyway... "God, I don't know whether or not you exist, but if you do, I need to know."
God will answer you. I promise you this.
Please feel free to email me to discuss this further. I can tell you so much.
God bless,
Jim