Gravitational time dilation explanation for Newtonian gravity?

[feynmann]

I seem to recall reading a post a long time ago (that I cannot find) that gravity in the Newtonian limit (eg the Solar system) can be completely explained in terms of gravitational time dilation alone.

In his book, Gravity from the Ground up, Schutz argue that All of Newtonian gravitation is simply the curvature of time. Can anyone shed light on this since I don't understand his argument at all?

http://www.gravityfromthegroundup.org/pdf/timecurves.pdf

 

[atyy]

Try Lecture 5 by Bertschinger:
http://ocw.mit.edu/OcwWeb/Physics/8-224Exploring-Black-Holes--General-Relativity---AstrophysicsSpring2003/LectureNotes/index.htm

He takes the Newtonian limit at 1:03:00.

 

[A.T.]

I seem to recall reading a post a long time ago (that I cannot find) that gravity in the Newtonian limit (eg the Solar system) can be completely explained in terms of gravitational time dilation alone. In his book, Gravity from the Ground up, Schutz argue that All of Newtonian gravitation is simply the curvature of time. Can anyone shed light on this since I don't understand his argument at all?

The "stretched" time dimension causes both: gravitational time dilation and Newtonian gravitation. You have to visualize it to understand it:
http://www.physics.ucla.edu/demoweb..._and_general_relativity/curved_spacetime.html

 

[feynmann]

The "stretched" time dimension causes both: gravitational time dilation and Newtonian gravitation. You have to visualize it to understand it:
http://www.physics.ucla.edu/demoweb..._and_general_relativity/curved_spacetime.html

That diagram is wrong. It shows the ceiling clock runs slower than the floor clock

 

[A.T.]

The "stretched" time dimension causes both: gravitational time dilation and Newtonian gravitation. You have to visualize it to understand it:
http://www.physics.ucla.edu/demoweb..._and_general_relativity/curved_spacetime.html

That diagram is wrong. It shows the ceiling clock runs slower than the floor clock

No it doesn't. The ceiling clock gets ahead of the floor clock in proper time, so it runs faster.