Changes

:<math>E=mc^2(x)</math> ...... (1)

:<math>E=mc^2(x)</math> ...... (1)

where <math>c^2(x)</math> is square of speed of light in vacuum adjusted by <math>(d\tau/dt)</math> (ratio of proper time to coordinate time<ref>

where <math>c^2(x)</math> is square of speed of light in vacuum adjusted by <math>(d\tau/dt)</math> (ratio of proper time to coordinate time

<ref>

This ratio is expressed usually as

This ratio is expressed usually as

:<math>d\tau/dt=\sqrt{g_{oo}}</math>,

:<math>d\tau/dt=\sqrt{g_{oo}}</math>,

in sign convention used in physics, where times are considered to be positive and distances negative <math>g_{oo}</math> in both notations is time-time component of metric of spacetime, which means that  

in sign convention used in physics, where times are considered to be positive and distances negative.

 

:<math>g_{oo}</math>

 

in both notations is time-time component of metric of spacetime, which means that  

:<math>E=mc^2 \sqrt{g_{oo}(x)}</math>  

:<math>E=mc^2 \sqrt{g_{oo}(x)}</math>