Generalized, General Relativistic metric

 

Here is a generalized metric for general relativity. ds is is the space time interval,  F  is the local gravitational potential and g(w) is gravitational acceleration at  location w. This metric describes space-time in a given region of space under General Relativity. It provides an understanding how space and time are being warped. The Schwarzschild metric describing space-time around a single spherical body but g this problem is a  generalized metric gives the full picture.

 



 
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