# Time and gravity

Time slows down near gravity (or under acceleration);

so if a 100 seconds pass in space, somewhere wheres there is no (near zero) gravity, how many seconds passed on earth over the period?

ie. whats the percentage difference does earth experience against time that is not effected by gravity?

Drakkith
Staff Emeritus
First, there is absolutely nowhere in the universe that is unaffected by gravity. Since the range of gravity is infinite, at best you can say that out there in a huge interstellar void the effect is very very small.

The effect of the Earth's gravity on time dilation is very small, but very measurable. The clocks on board GPS satellites tick at a rate of about 40 microseconds faster per day than a clock here on Earth thanks to the lessened effect of gravity at their orbital distance. Way off in an interstellar void there would be an even larger difference, but it would still be very small.

http://www.astronomy.ohio-state.edu/~pogge/Ast162/Unit5/gps.html

tiny-tim
Homework Helper
hi seb7!
Time slows down near gravity (or under acceleration);

no, time dilation does not depend on acceleration, only on speed (or gravity)
so if a 100 seconds pass in space, somewhere wheres there is no (near zero) gravity, how many seconds passed on earth over the period?

ie. whats the percentage difference does earth experience against time that is not effected by gravity?

time dilation due to gravity is approximately 1 - U = 1 - 2gM/rc2 = 1 - 2gr/c2

1 person
Hi, yes I understand GPS satellites tick faster, but they are hardly out of the earths gravitational field.
So, whats the answer to 1 - U = 1 - 2gM/rc2 = 1 - 2gr/c2 ?
I'm interested to know what, as percentage, is time on earth slowed, compared to a place without gravity.

Staff Emeritus
2021 Award
I'm interested to know what, as percentage, is time on earth slowed, compared to a place without gravity.

First, there is absolutely nowhere in the universe that is unaffected by gravity

Chronos
Gold Member
In fact, we know that gravity in the early universe was 'denser' than it is in the present universe [re: the Permutter supernova study]. Gravitational time dilation is incredibly small near earth due to its 'tiny' mass. In a gigantic, cosmological void, it is virtually negligible.

So we have no idea of time without gravity? So that could mean time doesn't exist without gravity.

Drakkith
Staff Emeritus