There is no need the fresh new tensor gadgets away from general relativity to get particularly effortless results for the low time (classical) restrict
Gravitational date-dilation accompanies curve because all of the methods of time depend on actions, and contraction out of length means moving clock pieces (plus things like oscillating electrons, oscillating quartz crystal atoms, etc) traveling a smaller sized distance when you look at the confirmed day, making time frequently decrease
Feynman explained that contraction off room as much as a fixed size Yards on account of curve in general relativity try a decrease in distance by the (1/3)MG/c dos that is step one.5 mm towards Earth. (Baez and Bunn likewise keeps a great derivation regarding Newton’s rules out of general relativity, that does not play with tensor research: select We are able to get it done just using new equality principle of general relativity and some real notion:
The fresh acceleration needed to escape from the newest gravitational field of a great size Yards (ignoring atmospheric pull), beginning in the range x regarding the center of the bulk are by Newton’s laws v = (2GM/x) 1/dos , thus v dos = 2GM/x. (more…)