- #1
johne1618
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According to the Wikipedia article on Gravitomagnetism:
http://en.wikipedia.org/wiki/Gravitomagnetism
There is a gravitational analog of maxwell's field equations that is valid for weak gravitational fields.
Basically all you have to do is replace eps_0 in maxwell's equations with -1/4 pi G.
My question is could one understand gravitational waves using this analog?
For instance the Larmor formula gives the total power, P, radiated in electromagnetic waves by a charge e with an acceleration a as:
P = e^2 a^2 / 6 pi eps_0 c^3
Could one argue by analogy that a mass m with an acceleration a will radiate gravitational waves with a total power P :
P = 2 G m^2 a^2 / 3 c^3
just by substituting m for e and 1 / 4 pi G for eps_0?
John
http://en.wikipedia.org/wiki/Gravitomagnetism
There is a gravitational analog of maxwell's field equations that is valid for weak gravitational fields.
Basically all you have to do is replace eps_0 in maxwell's equations with -1/4 pi G.
My question is could one understand gravitational waves using this analog?
For instance the Larmor formula gives the total power, P, radiated in electromagnetic waves by a charge e with an acceleration a as:
P = e^2 a^2 / 6 pi eps_0 c^3
Could one argue by analogy that a mass m with an acceleration a will radiate gravitational waves with a total power P :
P = 2 G m^2 a^2 / 3 c^3
just by substituting m for e and 1 / 4 pi G for eps_0?
John