The domain of the Earth consisting of solid rocks is called the lithosphere.

Explanation:
The lithosphere is the outermost layer of the Earth, and it includes the Earth’s crust and the uppermost part of the mantle.

It is a rigid, solid layer that is broken up into several large plates that move and interact with each other, leading to earthquakes, volcanic eruptions, and the formation of mountains.

The lithosphere is an important part of the Earth’s system, and it plays a crucial role in the planet’s geology, climate, and biology.