* Black Dwarfs are Theoretical: Black dwarfs are the theoretical end state of a white dwarf that has cooled down so much that it no longer emits light. White dwarfs are the remnants of stars like our Sun, and they are incredibly dense and hot. They gradually cool over billions of years. Since the universe is only about 13.8 billion years old, no black dwarfs are thought to exist yet.
* Faint Glow: A star that has run out of fuel will not glow faintly. It will simply stop fusing elements and cool down, becoming a white dwarf. The faint glow you are describing could be from a few other possibilities:
* Very Low-Mass Stars: Stars much smaller than our Sun can live for trillions of years because they burn their fuel very slowly. They might appear faintly luminous even when approaching the end of their lives.
* Brown Dwarfs: These are "failed stars" that never reached the mass required to sustain nuclear fusion in their cores. They emit very little light and are often quite faint.
* Other Astronomical Objects: It's possible the faint glow comes from a different type of object entirely, such as a nebula, a planetary system, or a distant galaxy.
In summary: A faint glow does not necessarily indicate a black dwarf. There are other possibilities for what you are observing.