Astrophysics

   

Analysis on the Non Linearity of Time

Authors: Priyam Das

In this paper I have used the Schwarzschild solution for Einstein’s field equation to find the change of proper time in a gravitational field with respect to time measured by gravitationally unaffected stationary clock. The equations tells us about the nature of temporal flow or temporal velocity for any body considering gravitational effect.I have further treated the solution to find a rate of change of the temporal velocity which signifies a temporal acceleration for any varying mass body. On the second phase I have used Einstein’s time dilation equation of special relativity to find the temporal flow of a particle moving with certain speed, neglecting the gravitational effect of the particle. Further calculations on the nature of temporal velocity reveals us a temporal acceleration for a particle with different velocities at different instant of time. I have also found equations relating to the nature of time in extreme cases of the universe like black holes and particles like photons.

Comments: It consists of 27 pages, 5 graphs

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Submission history

[v1] 2020-08-12 09:44:18

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