Curved Space

Curved spaces can generally be described by riemannian geometry though some simple cases can be described in other ways.
Curved space. Bodies such as the earth are not made to move on curved orbits bv a force called gravity. Instead they move in curved orbits because they follow the nearest thing to a straight path in a curved space which is called a geodesic. If we combine this concept with einstein s principle of equivalence then it would appear that light in the presence of gravity follows a curved trajectory or put in another way gravity bends the path of light. In general relativity space time is curved or warped by the distribution of mass and energy in it.
Curved space is an intense arcade shooter about battling cosmic energy spiders across warped physics defying battlefields. Space stations and asteroids curve and loop around themselves. Technically speaking a geodesic is defined as the shortest or longest path between two nearby points.