Ancient Hindu scriptures refer to the atman (soul) being reborn many times. The Bhagavad Gita states the following:
As a person casts off worn-out clothes and puts on new ones, so does the atman cast off worn out bodies and enter new ones.Bhagavad Gita 2:22 (Smriti text)
The Bhagavad Gita also explains that death is something that we can neither stop nor grieve about:
For certain is the death of all that comes to birth, certain is the birth of all that dies. So in a matter that no one can prevent do not grieve.Bhagavad Gita 2:27
There are two main beliefs about what happens after moksha.
Some Hindus believe that the atman is absorbed into Brahman. This is because the atman and Brahman are the same.
Other Hindus believe that the atman and Brahman are different and that after moksha they remain separate. They believe that the atman will be in the presence of Brahman, as a personal god, but will remain unique and individual.