What is gravitational time dilation what determines how much time is slowed in a gravitational field and gravity affect the passage of time in general relativity?
Time dilation of the observed time is caused by the structure of gravitational inertial force F_i of the reference frame. This force is the derivative of the gravitational potential. It is shown for Schwarzshield metric that F_i = 0 at the distance r = r_g from the centre of a gravitating body (r_g is the gravitational radius). The observed time is stopped, if the observer is at the distance r_g from the centre of the gravitating body (r_g is the gravitational radius). Moreover, comparing the result with the results of the classical (Newtonian) theory of gravitation, we find that the acceleration of a free falling body in Newtonian theory is the same as that in GR at the surface of the Schwarzschild black hole. So, we find that the central region of the Earth (under its Schwarzschield radius) is the centre of its gravitation. So, we fin that Newtonian theory of gravitation is a particular case of Einsteinian GR. The rate of the observed time is also dependent on the velocity of rotation and its direction of the reference system.
The dilation of the observed time is linked immediatelly with the component g00 of fundamental metrical tensor g_00. If this component is constant, the observed time flows with the constant velocity. If g00 = 0, the observed time is stopped.
Yes, time goes faster the farther away you are from the earth's surface compared to the time on the surface of the earth. This effect is known as "gravitational time dilation". Time dilation is the slowing of the passage of time at high speeds. The faster the object moves, the greater the amount of time dilation. Time dilation, in part, accounts for the constant speed of light, regardless of the light's source and regardless of the observer's perspective. Gravitational time dilation occurs because objects with a lot of mass create a strong gravitational field. The gravitational field is really a curving of space and time. The stronger the gravity, the more space-time curves, and the slower time itself proceed. Gravitational time dilation is experienced by an observer that, at a certain altitude within a gravitational potential well, finds that their local clocks measure less elapsed time than identical clocks situated at higher altitude (and which are therefore at higher gravitational potential). Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events, as measured by observers situated at varying distances from a gravitating mass.The force of gravity treats time like taffy. The stronger its pull, the more gravity can stretch out time, making it pass more slowly. By using a new atomic clock, scientists have now measured this slowing of time over the shortest distance yet just one millimeter (0.04 inch). Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events as measured by observers situated at varying distances from a gravitating mass. The higher the gravitational potential (the farther the clock is from the source of gravitation), the faster time passes. The speed of gravity (more correctly, the speed of gravitational waves) can be calculated from observations of the orbital decay rate of binary pulsars PSR 1913+16 and PSR B1534+12. The results were definitive: they absolutely ruled out an infinite speed for the propagation of gravitational effects. Through these observations alone, scientists determined that the speed of gravity was between 2.55 × 108 m/s and 3.81 × 108 m/s, completely consistent with Einstein's predictions of 299,792,458 m/s. General relativity says that time slows down because of gravity. Shouldn't light move slower there to match its speed with the clock that ticks slower there? The theory of relativity says that the faster the speed, the slower time passes and that the greater the gravity, the slower the time. The lower the gravitational potential (the closer the clock is to the source of gravitation), the slower time passes, speeding up as the gravitational potential increases. Gravity impedes the flow of time, which implies that the more massive the object, the slower time passes in its vicinity.