The current scientific understanding suggests that our galaxy, the Milky Way, will continue to produce new stars for a considerable period of time but not indefinitely. Galaxies like the Milky Way are dynamic systems where the formation of stars is an ongoing process. However, the rate of star formation is expected to decrease over time.
Stars are formed from interstellar gas and dust clouds, primarily in regions known as molecular clouds. These clouds can collapse under their own gravity, leading to the formation of protostars and eventually mature stars. The Milky Way has a finite amount of gas available for star formation, and as this gas is used up, the rate of new star formation will diminish.
Based on current understanding, it is estimated that the Milky Way will continue to produce new stars for at least several billion years. However, as the available gas is gradually depleted and as existing stars age and die, the rate of star formation will decline. Eventually, the Milky Way will exhaust its supply of gas for star formation, leading to a decline in the production of new stars.
It's important to note that the future evolution of galaxies is an active area of research, and our understanding may evolve with new discoveries and observations.