Changes

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}}</math>  

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

is not a constant but a function of displacement in relation to the particle and we may take its non vanishing derivative with respect to displacement to calculate ''"gravitational force"''.

is not a constant but a function of displacement <math>x</math>in relation to the particle and we may take its non vanishing derivative with respect to displacement to calculate ''"gravitational force"''.

</ref>) and <math>m</math> is rest mass of a particle though the equation works also for ''[[relativistic mass]]'' with just the energy increased by kinetic energy of the particle, it turned out that this mysterious force of alleged ''attraction'' comes just as derivative of the above equation with respect to displacement of the particle <math>dx</math>.  

</ref>) and <math>m</math> is rest mass of a particle though the equation works also for ''[[relativistic mass]]'' with just the energy increased by kinetic energy of the particle, it turned out that this mysterious force of alleged ''attraction'' comes just as derivative of the above equation with respect to displacement of the particle <math>dx</math>.