* Luminosity is about more than just temperature: Luminosity is the total amount of energy a star emits per second. While temperature plays a role, the key factor is the surface area of the star.
* White dwarfs are incredibly dense and small: Even though they might be cooler than the Sun, they are much, much smaller. Think of them as incredibly dense, glowing embers.
* Smaller surface area, less light: The small surface area of a white dwarf means it radiates far less energy overall, even though it might be relatively hot.
An analogy: Imagine a small, hot coal and a large, warm campfire. The coal is much hotter, but it's only emitting a tiny amount of light. The campfire is cooler, but its larger surface area makes it much brighter overall.
In summary:
* Lower Luminosity: White dwarfs have a much lower luminosity than the Sun because they have a much smaller surface area.
* Cooler Temperature: While they are cooler than the Sun, their small size means they still emit a significant amount of heat.
Note: While a typical white dwarf is cooler than the Sun, there can be a range of temperatures. Some white dwarfs are indeed hotter than the Sun, but their small size still keeps their luminosity lower.