I think you got the events mixed up, first Einstein thought of the equivalence principle, then he tried to develop GR, only after help from others who introduced him to Riemannian geometry he eventually succeeded.Shyan said:I read in the book the elegant universe,that Einstein first saw riemannian geometry in accelerated motion and then,because of the equivalence principle,he proposed the GR model for gravity.So why there is nothing about accelerated motion in the books explaining GR?
thanks
Acceleration is important in science because it is a fundamental concept in physics that helps us understand how an object's velocity changes over time. It is also used to describe the motion of objects in various scientific fields such as mechanics, astronomy, and engineering.
Acceleration is a measure of how an object's velocity changes over time, while velocity is the rate of change of an object's position over time. In other words, acceleration describes how fast an object's speed is changing, while velocity describes how fast an object is moving in a particular direction.
Acceleration is caused by a net force acting on an object. This force can come from various sources such as gravity, friction, or applied force. The direction of the acceleration is determined by the direction of the net force.
Acceleration is measured in units of distance per time squared, such as meters per second squared (m/s^2). It can be calculated by dividing the change in velocity by the change in time, or by using a device such as an accelerometer to directly measure the acceleration of an object.
The acceleration due to gravity is constant because the force of gravity is proportional to the mass of an object and the distance between two objects. This means that regardless of the mass of an object, it will experience the same acceleration due to gravity. On Earth, this value is approximately 9.8 m/s^2.