- #1
muppet
- 608
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"gravitational field strength"
Hi all,
I've been reading some lecture notes by G. t'Hooft, available from
http://www.staff.science.uu.nl/~hooft101/lectures/genrel_2010.pdf
On page 12, t'Hooft is discussing the Rindler space of an observer using co-ordinates [itex]\xi^{\mu}[/itex] with constant acceleration g in the [itex] \xi^3[/itex] direction when he says says: "The gravitational field strength is given by [itex]\rho^{-2} \vec{g} (\xi)[/itex]",
where [itex]\rho = 1+g\xi^3[/itex] is the "local clock speed" (which, with a bit of help from MTW, I take to mean [itex]\frac{d \tau}{d \xi^0}[/itex]).
I can't see that he defines "gravitational field strength", or [itex]\vec{g}(\xi)[/itex] anywhere (just a constant vector [itex]\vec{g}=(0,0,g)[/itex].)
Could someone help me understand what precisely is meant by the "gravitational field strength" in GR, as well as where the above formula comes from?
Thanks in advance.
Hi all,
I've been reading some lecture notes by G. t'Hooft, available from
http://www.staff.science.uu.nl/~hooft101/lectures/genrel_2010.pdf
On page 12, t'Hooft is discussing the Rindler space of an observer using co-ordinates [itex]\xi^{\mu}[/itex] with constant acceleration g in the [itex] \xi^3[/itex] direction when he says says: "The gravitational field strength is given by [itex]\rho^{-2} \vec{g} (\xi)[/itex]",
where [itex]\rho = 1+g\xi^3[/itex] is the "local clock speed" (which, with a bit of help from MTW, I take to mean [itex]\frac{d \tau}{d \xi^0}[/itex]).
I can't see that he defines "gravitational field strength", or [itex]\vec{g}(\xi)[/itex] anywhere (just a constant vector [itex]\vec{g}=(0,0,g)[/itex].)
Could someone help me understand what precisely is meant by the "gravitational field strength" in GR, as well as where the above formula comes from?
Thanks in advance.