Stars in orbit around Sagittarius A* (Sgr A*), the supermassive black hole at the center of our Milky Way galaxy, can potentially have exoplanets. However, the extreme conditions near Sgr A* make the formation and stability of exoplanets challenging.
The region around Sgr A* is subject to strong gravitational forces, intense radiation, and tidal forces caused by the black hole's immense gravity. These factors can disrupt the formation of planetary systems by inhibiting the accretion of material necessary for planet formation and destabilizing the orbits of existing planets.
Furthermore, the proximity to the black hole exposes the star and any potential planets to intense radiation and gravitational interactions. These factors could strip away planetary atmospheres, disrupt orbits, and cause extreme temperature variations, making it difficult for life as we know it to thrive.
That being said, the exact conditions and possibilities for exoplanets in the vicinity of Sgr A* are still the subject of ongoing research and investigation. Future observations and theoretical studies may provide more insights into the potential existence and characteristics of exoplanets in such extreme environments.