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1 vote
0 answers
60 views

Free fall of two point particles in general relativity vs. Newtonian mechanics

In general relativity (GR) the equation of free fall of two point particles which start from rest at some finite distance $r_i$ is strikingly similar to the equation of free fall in Newtonian ...
Stefano Zunino's user avatar
5 votes
4 answers
245 views

How does Newtonian Gravity explain the difference between the experience of 1G and zero gravity? Or can it?

Humans can feel the difference between being on earth's ground, and being in space (zero gravity) This can be explained by general relativity, where in (1), force is applied by the ground upwards, ...
Yu Zhou's user avatar
  • 161
0 votes
1 answer
249 views

Motion of bodies released form rest in a freely falling cabin

In a paper I was solving, there was a question stated as such: A narrow but tall cabin is falling freely near the Earth's surface. Inside the cabin, two small stones A and B are released from rest(...
Rutwik's user avatar
  • 113
1 vote
1 answer
110 views

Finding the frame of reference in which Newton's law of gravitation applies

I've always wondered, in which frame of reference does Newton's law $$ \boldsymbol{g} = -\frac{GM}{r^2} \widehat{\boldsymbol{r}} $$ actually apply? In general it can't be the one in which the the ...
Alex Zeffertt's user avatar
1 vote
2 answers
2k views

Is the center of mass in general relativity equal to the center of mass in newtonian gravity?

Consider 2 point masses $A,B$ a distance $d$ away from each other without velocity or rotation spin. Is the center of mass in general relativity equal to the center of mass in newtonian gravity? In ...
mick's user avatar
  • 926