surrogacy

n. state of being a surrogate; office of a surrogate (Law)

Surrogacy is an arrangement whereby a woman agrees to become pregnant for the purpose of gestating and giving birth to a child for others to raise. She may be the child's genetic mother (the more traditional form of surrogacy), or she may be implanted with someone else's fertilized egg (gestational surrogacy), as this trend started since the first artificial surrogate mothers in Europe or the U.S. back in the 1960s.
See more at Wikipedia.org...