There is a LOT of scientific evidence for rebirth. You can take a look at the following links:
Also, scientific studies have been conducted and academic articles have been published on the subject – I have listed a few examples below:
Mills, A., Haraldsson, E., & Keil, H. H. J. (1994). Replication studies of cases suggestive of reincarnation by three independent investigators. Journal of the American Society for Psychical Research, 88, 207–219.
Stevenson, I. (2006). Half a career with the Paranormal. Journal of Scientific Exploration, 20(1), 13–21.
Barker, D. R., & Pasricha, S. K. (1979). Reincarnation cases in Fatehabad: A systematic survey in North India. Journal of Asian and African Studies, 14, 231–241.
Tucker, J. B. (2005). Life before life: a scientific investigation of children’s memories of previous lives. Macmillan.
Stevenson, I. (2000). Unusual play in young children who claim to remember previous lives. Journal of Scientific Exploration, 14, 557–570.
Haraldsson, E., & Samararatne, G. (1999). Children who speak of memories of a previous life as a Buddhist monk: Three new cases. Journal of the Society for Psychical Research, 63, 268–291.
Cook, E. W., Pasricha, S., Samararatne, G., Maung, U., & Stevenson, I. (1983). Review and analysis of “unsolved” cases of the reincarnation type: II. Comparison of features of solved and unsolved cases. The Journal of the American Society for Psychical Research, 77(1), 45–62.
Stevenson, I. (1990). Phobias in children who claim to remember previous lives. Journal of Scientific Exploration, 4, 243–254.
Tucker, J. B. (2013). Return to life: Extraordinary cases of children who remember past lives. Macmillan.
Stevenson, I. (2000). The phenomenon of claimed memories of previous lives: Possible interpretations and importance. Medical Hypotheses, 54, 652–659.
Stevenson, I., & Keil, J. (2005). Children of Myanmar who behave like Japanese soldiers:A possible third element in personality. Journal of Scientific Exploration, 19, 171–183.